146094882053120

Names of 146094882053120

• Cardinal: 146094882053120 can be written as One hundred forty-six trillion, ninety-four billion, eight hundred eighty-two million, fifty-three thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.4609488205312 × 10¹⁴

Factors of 146094882053120

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 45411

Divisors of 146094882053120

• Number of divisors d(n): 1408
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 16 17 20 22 26 28 32 34 35 37 40 44 52 55 56 64 65 68 70 74 77 80 85 88 91 104 110 112 119 128 130 136 140 143 148 154 160 170 176 182 185 187 208 220 221 224 238 256 259 260 272 280 286 296 308 320 340 352 364 370 374 385 407 416 440 442 448 455 476 481 512 518 520 544 560 572 592 595 616 629 640 680 704 715 728 740 748 770 814 832 880 884 896 910 935 952 962 1001 1024 1036 1040 1088 1105 1120 1144 1184 1190 1232 1258 1280 1295 1309 1360 1408 1430 1456 1480 1496 1540 1547 1628 1664 1760 1768 1792 1820 1870 1904 1924 2002 2035 2072 2080 2176 2210 2240 2288 2368 2380 2405 2431 2464 2516 2560 2590 2618 2720 2816 2849 2860 2912 2960 2992 3080 3094 3145 3256 3328 3367 3520 3536 3584 3640 3740 3808 3848 4004 4070 4144 4160 4352 4403 4420 4480 4576 4736 4760 4810 4862 4928 5005 5032 5120 5180 5236 5291 5440 5632 5698 5720 5824 5920 5984 6160 6188 6290 6512 6545 6656 6734 6919 7040 7072 7168 7280 7480 7616 7696 7735 8008 8140 8177 8288 8320 8704 8806 8840 8960 9152 9472 9520 9620 9724 9856 10010 10064 10360 10472 10582 10880 11264 11396 11440 11648 11840 11968 12155 12320 12376 12580 13024 13090 13312 13468 13838 14080 14144 14245 14560 14960 15232 15392 15470 16016 16280 16354 16576 16640 16835 17017 17408 17612 17680 17920 18304 18944 19040 19240 19448 19712 20020 20128 20720 20944 21164 21760 22015 22792 22880 23296 23680 23936 24310 24640 24752 25160 26048 26180 26455 26936 27676 28160 28288 28490 29120 29920 30464 30784 30940 32032 32560 32708 33152 33280 33670 34034 34595 35224 35360 35840 36608 37037 37888 38080 38480 38896 39424 40040 40256 40885 41440 41888 42328 43520 44030 45319 45584 45760 46592 47360 47872 48433 48620 49280 49504 50320 52096 52360 52910 53872 55352 56320 56576 56980 57239 58240 59840 60928 61568 61880 64064 65120 65416 66304 66560 67340 68068 69190 70448 70720 73216 74074 76160 76960 77792 78848 80080 80512 81770 82880 83776 84656 85085 87040 88060 89947 90638 91168 91520 93184 94720 95744 96866 97240 98560 99008 100640 104192 104720 105820 107744 110704 113152 113960 114478 116480 119680 121856 123136 123760 128128 130240 130832 132608 134680 136136 138380 140896 141440 146432 148148 152320 153920 155584 160160 161024 163540 165760 167552 169312 170170 176120 179894 181276 182336 183040 185185 189440 191488 193732 194480 197120 198016 201280 208384 209440 211640 215488 221408 226304 226595 227920 228956 232960 239360 242165 246272 247520 256256 260480 261664 265216 269360 272272 276760 281792 282880 286195 296296 304640 307840 311168 317233 320320 322048 327080 331520 335104 338624 340340 352240 359788 362552 364672 366080 370370 387464 388960 394240 396032 402560 416768 418880 423280 430976 442816 449735 453190 455840 457912 465920 478720 484330 492544 495040 498509 512512 520960 523328 538720 544544 553520 563584 565760 572390 589147 592592 609280 615680 622336 629629 634466 640640 644096 654160 663040 670208 677248 680680 704480 719576 725104 729344 732160 740740 770423 774928 777920 792064 805120 837760 846560 861952 885632 899470 906380 911680 915824 957440 968660 990080 997018 1025024 1041920 1046656 1077440 1089088 1107040 1127168 1131520 1144780 1178294 1185184 1231360 1244672 1259258 1268932 1281280 1308320 1326080 1340416 1354496 1361360 1408960 1439152 1450208 1458688 1481480 1540846 1549856 1555840 1584128 1586165 1610240 1675520 1676803 1693120 1723904 1771264 1798940 1812760 1823360 1831648 1937320 1980160 1994036 2083840 2093312 2154880 2178176 2214080 2254336 2289560 2356588 2370368 2462720 2489344 2492545 2518516 2537864 2562560 2616640 2708992 2722720 2817920 2878304 2900416 2917376 2945735 2962960 3081692 3099712 3111680 3148145 3172330 3220480 3351040 3353606 3386240 3447808 3489563 3542528 3597880 3625520 3646720 3663296 3852115 3874640 3960320 3988072 4124029 4186624 4309760 4356352 4428160 4508672 4579120 4713176 4740736 4985090 5037032 5075728 5125120 5233280 5392961 5417984 5445440 5635840 5756608 5800832 5891470 5925920 6163384 6199424 6223360 6296290 6344660 6480617 6702080 6707212 6772480 6979126 7085056 7195760 7251040 7293440 7326592 7704230 7749280 7920640 7976144 8248058 8373248 8384015 8474653 8619520 8712704 8856320 9158240 9426352 9481472 9970180 10015499 10074064 10151456 10466560 10785922 10890880 11271680 11513216 11601664 11737621 11782940 11851840 12326768 12398848 12446720 12592580 12689320 12961234 13414424 13544960 13958252 14391520 14502080 14586880 14653184 15408460 15498560 15952288 16496116 16768030 16949306 17239040 17425408 17447815 17712640 18316480 18444833 18852704 18962944 19940360 20030998 20148128 20302912 20620145 20933120 21571844 21781760 21798439 22543360 23026432 23203328 23475242 23565880 23703680 24653536 24797696 25185160 25378640 25922468 26828848 26964805 27089920 27916504 28505651 28783040 29004160 29306368 30816920 30997120 31904576 32403085 32992232 33536060 33898612 34895630 35425280 36632960 36889666 37705408 37925888 39880720 40061996 40296256 40605824 41240290 41866240 42373265 43143688 43563520 43596878 45364319 46052864 46406656 46950484 47131760 47407360 49307072 49595392 50077495 50370320 50757280 51844936 53657696 53929610 55833008 57011302 57566080 58008320 58612736 58688105 59322571 61633840 61994240 63809152 64806170 65984464 67072120 67797224 69791260 70108493 73265920 73779332 75410816 79761440 80123992 80592512 81211648 82480580 84746530 86287376 87127040 87193756 90728638 92105728 92224165 93900968 94263520 94814720 98614144 100154990 100740640 101514560 103689872 107315392 107859220 108992195 110170489 111666016 114022604 115132160 116016640 117376210 118645142 123267680 123988480 127618304 129113831 129612340 131968928 134144240 135594448 139582520 140216986 142528255 146531840 147558664 150821632 152589073 159522880 160247984 161185024 162423296 164961160 169493060 172574752 174387512 181457276 184448330 187801936 188527040 189629440 197228288 199539557 200309980 201481280 203029120 207379744 214630784 215718440 217984390 220340978 223332032 226821595 228045208 230264320 232033280 234752420 237290284 239782829 246535360 247976960 255236608 258227662 259224680 263937856 268288480 271188896 279165040 280433972 285056510 293063680 295117328 296612855 301643264 305178146 313562161 319045760 320495968 322370048 324846592 329922320 338986120 345149504 348775024 350542465 362914552 368896660 370573463 375603872 377054080 394456576 399079114 400619960 402962560 406058240 414759488 429261568 431436880 435968780 440681956 446664064 453643190 456090416 460528640 469504840 474580568 479565658 493070720 510473216 516455324 518449360 527875712 536576960 542377792 550852445 558330080 560867944 570113020 590234656 593225710 603286528 610356292 627124322 638091520 640991936 644740096 645569155 659844640 677972240 690299008 697550048 701084930 725829104 737793320 741146926 751207744 754108160 762945365 771193423 788913152 798158228 801239920 805925120 812116480 829518976 858523136 862873760 871937560 881363912 893328128 907286380 912180832 939009680 949161136 959131316 986141440 997697785 1032910648 1036898720 1055751424 1073153920 1084755584 1101704890 1116660160 1121735888 1140226040 1180469312 1186451420 1198914145 1220712584 1254248644 1276183040 1281983872 1291138310 1319689280 1355944480 1380598016 1395100096 1402169860 1451658208 1475586640 1482293852 1502415488 1508216320 1525890730 1542386846 1567810805 1596316456 1602479840 1611850240 1624232960 1659037952 1678479803 1717046272 1725747520 1743875120 1762727824 1786656256 1814572760 1824361664 1852867315 1878019360 1898322272 1918262632 1972282880 1995395570 2065821296 2073797440 2111502848 2146307840 2169511168 2194935127 2203409780 2233320320 2243471776 2280452080 2360938624 2372902840 2397828290 2441425168 2508497288 2552366080 2563967744 2582276620 2594014241 2639378560 2711888960 2761196032 2790200192 2804339720 2903316416 2951173280 2964587704 3004830976 3016432640 3051781460 3084773692 3135621610 3192632912 3204959680 3223700480 3318075904 3356959606 3451495040 3487750240 3525455648 3573312512 3629145520 3648723328 3705734630 3756038720 3796644544 3836525264 3855967115 3944565760 3990791140 4076308093 4131642592 4147594880 4223005696 4292615680 4339022336 4389870254 4406819560 4466640640 4486943552 4560904160 4721877248 4745805680 4795656580 4882850336 5016994576 5127935488 5164553240 5188028482 5278757120 5423777920 5522392064 5580400384 5608679440 5806632832 5902346560 5929175408 6009661952 6103562920 6169547384 6271243220 6385265824 6409919360 6636151808 6713919212 6902990080 6975500480 7050911296 7258291040 7297446656 7411469260 7512077440 7593289088 7673050528 7711934230 7981582280 8152616186 8263285184 8295189760 8392399015 8585231360 8678044672 8779740508 8813639120 8933281280 8973887104 9121808320 9443754496 9491611360 9591313160 9765700672 10033989152 10255870976 10329106480 10376056964 10557514240 10847555840 10974675635 11160800768 11217358880 11613265664 11804693120 11858350816 12019323904 12207125840 12339094768 12542486440 12770531648 12819838720 12970071205 13427838424 13805980160 13951000960 14101822592 14516582080 14594893312 14822938520 15024154880 15186578176 15346101056 15423868460 15963164560 16305232372 16526570368 16590379520 16784798030 17559481016 17627278240 17866562560 17947774208 18243616640 18887508992 18983222720 19182626320 19531401344 20067978304 20381540465 20658212960 20752113928 21115028480 21695111680 21949351270 22321601536 22434717760 23226531328 23609386240 23716701632 24414251680 24678189536 25084972880 25541063296 25639677440 25940142410 26855676848 27611960320 27902001920 28203645184 28534156651 29033164160 29189786624 29645877040 30048309760 30373156352 30692202112 30847736920 31926329120 32610464744 33053140736 33180759040 33569596060 35118962032 35254556480 35895548416 36487233280 37966445440 38365252640 39062802688 40135956608 40763080930 41316425920 41504227856 43390223360 43898702540 44869435520 46453062656 47218772480 47433403264 48828503360 49356379072 50169945760 51082126592 51279354880 51880284820 53711353696 55804003840 56407290368 57068313302 58066328320 59291754080 60096619520 60746312704 61384404224 61695473840 63852658240 65220929488 66106281472 67139192120 70237924064 70509112960 71791096832 72974466560 75932890880 76730505280 78125605376 80271913216 81526161860 82632851840 83008455712 87797405080 89738871040 94437544960 94866806528 97657006720 98712758144 100339891520 102164253184 103760569640 107422707392 111608007680 112814580736 114136626604 116132656640 118583508160 122768808448 123390947680 127705316480 130441858976 132212562944 134278384240 140475848128 141018225920 142670783255 145948933120 151865781760 153461010560 156251210752 160543826432 163052323720 165265703680 166016911424 175594810160 179477742080 189733613056 195314013440 197425516288 200679783040 204328506368 207521139280 214845414784 228273253208 232265313280 237167016320 245537616896 246781895360 255410632960 260883717952 268556768480 280951696256 282036451840 285341566510 303731563520 306922021120 321087652864 326104647440 330531407360 332033822848 351189620320 358955484160 379467226112 390628026880 394851032576 401359566080 415042278560 429690829568 456546506416 474334032640 493563790720 510821265920 521767435904 537113536960 561903392512 564072903680 570683133020 613844042240 652209294880 661062814720 664067645696 702379240640 781256053760 789702065152 802719132160 830084557120 859381659136 913093012832 948668065280 987127581440 1021642531840 1043534871808 1074227073920 1123806785024 1141366266040 1227688084480 1304418589760 1328135291392 1404758481280 1605438264320 1660169114240 1718763318272 1826186025664 1897336130560 1974255162880 2087069743616 2148454147840 2247613570048 2282732532080 2608837179520 2656270582784 2809516962560 3320338228480 3652372051328 3948510325760 4174139487232 4296908295680 4565465064160 5217674359040 5619033925120 6640676456960 7304744102656 8593816591360 9130930128320 10435348718080 11238067850240 13281352913920 14609488205312 18261860256640 20870697436160 29218976410624 36523720513280 73047441026560 146094882053120
• Sum of all divisors σ(n): 511698760151040
• Sum of proper divisors (its aliquot sum) s(n): 365603878097920
• 146094882053120 is an abundant number, because the sum of its proper divisors (365603878097920) is greater than itself. Its abundance is 219508996044800

Bases of 146094882053120

• Binary: 100001001101111101011101100011000101110000000000₂
• Hexadecimal: 0x84DF5D8C5C00
• Base-36: 1FSB28PSE8

Squares and roots of 146094882053120

• 146094882053120 squared (146094882053120²) is 21343714562115044266501734400
• 146094882053120 cubed (146094882053120³) is 3118207461527657180078898591399912931328000
• The square root of 146094882053120 is 12086971.5832014761
• The cube root of 146094882053120 is 52667.7785351367

Scales and comparisons

• 146,094,882,053,120 seconds is equal to 4,645,365 years, 18 weeks, 17 hours, 25 minutes, 20 seconds.
• To count from 1 to 146,094,882,053,120 would take you about eleven million, six hundred thirteen thousand, four hundred thirteen years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 146094882053120 cubic inches would be around 4389 feet tall.

Recreational maths with 146094882053120

• 146094882053120 backwards is 021350288490641
• The number of decimal digits it has is: 15
• The sum of 146094882053120's digits is 53
• More coming soon!