146384068680645600

Names of 146384068680645600

• Cardinal: 146384068680645600 can be written as One hundred forty-six quadrillion, three hundred eighty-four trillion, sixty-eight billion, six hundred eighty million, six hundred forty-five thousand, six hundred.

Scientific notation

• Scientific notation: 1.463840686806456 × 10¹⁷

Factors of 146384068680645600

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1204218

Divisors of 146384068680645600

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 49 50 56 57 60 70 75 76 80 84 95 96 98 100 105 112 114 120 133 140 147 150 152 160 168 175 190 196 200 210 224 228 240 245 266 280 285 294 300 304 336 343 350 380 392 399 400 420 456 475 480 490 525 532 560 570 588 600 608 665 672 686 700 735 760 784 798 800 840 912 931 950 980 1029 1050 1064 1120 1140 1176 1200 1225 1330 1372 1400 1425 1470 1520 1568 1596 1680 1715 1824 1862 1900 1960 1995 2058 2100 2128 2280 2352 2400 2450 2660 2744 2793 2800 2850 2940 3040 3192 3325 3360 3430 3675 3724 3800 3920 3990 4116 4200 4256 4560 4655 4704 4900 5145 5320 5488 5586 5600 5700 5880 6384 6517 6650 6860 7350 7448 7600 7823 7840 7980 8232 8400 8575 9120 9310 9800 9975 10290 10640 10976 11172 11400 11760 12768 13034 13300 13720 13965 14700 14896 15200 15646 15960 16464 16800 17150 18620 19551 19600 19950 20580 21280 22344 22800 23275 23469 23520 25725 26068 26600 27440 27930 29400 29792 31292 31920 32585 32928 34300 37240 39102 39115 39200 39900 41160 44688 45600 46550 46938 51450 52136 53200 54761 54880 55860 58800 62584 63840 65170 68600 69825 74480 78204 78230 79800 82320 89376 93100 93876 97755 102900 104272 106400 109522 111720 117345 117600 125168 130340 137200 139650 148637 148960 156408 156460 159600 162925 164283 164640 186200 187752 195510 195575 205800 208544 219044 223440 234690 250336 260680 273805 274400 279300 297274 312816 312920 319200 325850 328566 372400 375504 383327 391020 391150 411600 438088 445911 446880 469380 488775 521360 547610 558600 586725 594548 625632 625840 651700 657132 743185 744800 751008 766654 782040 782300 821415 823200 876176 891822 938760 977550 1040459 1042720 1095220 1117200 1149981 1173450 1189096 1196359 1251680 1303400 1314264 1369025 1486370 1533308 1564080 1564600 1642830 1752352 1783644 1877520 1916635 1955100 2080918 2190440 2229555 2234400 2299962 2346900 2378192 2392718 2606800 2628528 2683289 2738050 2972740 3066616 3121377 3128160 3129200 3285660 3567288 3589077 3715925 3755040 3833270 3910200 4107075 4161836 4380880 4459110 4599924 4693800 4756384 4785436 5202295 5213600 5257056 5366578 5476100 5749905 5945480 5981795 6133232 6242754 6258400 6571320 7134576 7178154 7283213 7431850 7666540 7820400 8049867 8214150 8323672 8374513 8761760 8918220 9199848 9387600 9570872 9583175 10404590 10733156 10952200 11147775 11499810 11890960 11963590 12266464 12485508 13142640 13416445 14269152 14356308 14566426 14863700 15333080 15606885 15640800 16099734 16428300 16647344 16749026 17836440 17945385 18399696 18775200 19141744 19166350 20809180 21466312 21849639 21904400 22295550 22730821 22999620 23781920 23927180 24971016 25123539 26011475 26285280 26832890 28712616 28749525 29132852 29727400 29908975 30666160 31213770 32199468 32856600 33294688 33498052 35672880 35890770 36416065 36799392 38283488 38332700 40249335 41618360 41872565 42932624 43699278 43808800 44591100 45461642 45999240 47854360 49942032 50247078 50982491 52022950 53665780 57425232 57499050 58265704 58621591 59454800 59817950 61332320 62427540 64398936 65713200 66996104 67082225 68192463 71345760 71781540 72832130 76665400 78034425 80498670 83236720 83745130 85865248 87398556 89182200 89726925 90923284 91998480 95708720 99884064 100494156 101964982 104045900 107331560 109248195 113654105 114850464 114998100 116531408 117243182 118909600 119635900 124855080 125617695 128797872 131426400 133992208 134164450 136384926 143563080 145664260 152947473 153330800 156068850 159115747 160997340 166473440 167490260 174797112 175864773 178364400 179453850 181846568 182080325 183996960 191417440 200988312 201246675 203929964 208091800 209362825 214663120 218496390 227308210 229996200 233062816 234486364 239271800 249710160 251235390 254912455 257595744 267984416 268328900 272769852 287126160 291328520 293107955 305894946 306661600 312137700 318231494 321994680 334980520 340962315 349594224 351729546 356728800 358907700 363693136 364160650 401976624 402493350 407859928 410351137 416183600 418725650 429326240 436992780 454616420 459992400 468972728 477347241 478543600 499420320 502470780 509824910 536657800 545539704 546240975 568270525 574252320 582657040 586215910 611789892 624275400 628088475 636462988 643989360 669961040 681924630 699188448 703459092 717815400 727386272 728321300 764737365 795578735 803953248 804986700 815719856 820702274 832367200 837451300 873985560 879323865 909232840 919984800 937945456 954694482 957087200 1004941560 1019649820 1073315600 1091079408 1092481950 1113810229 1136541050 1165314080 1172431820 1223579784 1231053411 1248550800 1256176950 1272925976 1274562275 1287978720 1339922080 1363849260 1406918184 1435630800 1456642600 1465539775 1529474730 1591157470 1609973400 1631439712 1641404548 1674902600 1704811575 1747971120 1758647730 1818465680 1875890912 1909388964 2009883120 2039299640 2051755685 2146631200 2182158816 2184963900 2227620458 2273082100 2344863640 2386736205 2447159568 2462106822 2497101600 2512353900 2545851952 2549124550 2727698520 2813836368 2871261600 2913285200 2931079550 3058949460 3182314940 3219946800 3282809096 3341430687 3349805200 3409623150 3495942240 3517295460 3636931360 3818777928 3823686825 3977893675 4019766240 4078599280 4103511370 4369927800 4396619325 4455240916 4546164200 4689727280 4773472410 4894319136 4924213644 5024707800 5091703904 5098249100 5455397040 5569051145 5627672736 5826570400 5862159100 6117898920 6155267055 6364629880 6439893600 6565618192 6682861374 6699610400 6819246300 7034590920 7637555856 7647373650 7796671603 7955787350 8157198560 8207022740 8739855600 8793238650 8910481832 9092328400 9359116457 9379454560 9546944820 9848427288 10049415600 10196498200 10258778425 10910794080 11138102290 11724318200 11933681025 12235797840 12310534110 12729259760 13131236384 13365722748 13638492600 14069181840 15275111712 15294747300 15593343206 15911574700 16414045480 16707153435 17479711200 17586477300 17820963664 18184656800 18718232914 19093889640 19696854576 20098831200 20392996400 20517556850 22276204580 23390014809 23448636400 23867362050 24471595680 24621068220 25458519520 26731445496 27276985200 27845255725 28077349371 28138363680 30589494600 30776335275 31186686412 31823149400 32828090960 33414306870 35172954600 35641927328 37436465828 38187779280 38983358015 39393709152 40785992800 41035113700 44552409160 46780029618 46795582285 46897272800 47734724100 49242136440 53462890992 54553970400 55690511450 56154698742 61178989200 61552670550 62373372824 63646298800 65513815199 65656181920 66828613740 70345909200 74872931656 76375558560 77966716030 82070227400 83535767175 89104818320 93560059236 93591164570 95469448200 98484272880 106925781984 111381022900 112309397484 116950074045 122357978400 123105341100 124746745648 127292597600 131027630398 133657227480 140386746855 140691818400 149745863312 155933432060 164140454800 167071534350 177823212683 178209636640 187120118472 187182329140 190938896400 194916790075 196541445597 196968545760 222762045800 224618794968 233900148090 233977911425 246210682200 249493491296 262055260796 267314454960 280773493710 299491726624 311866864120 327569075995 328280909600 334143068700 355646425366 374240236944 374364658280 381877792800 389833580150 393082891194 445524091600 449237589936 458596706393 467800296180 467955822850 492421364400 524110521592 533469638049 534628909920 561546987420 584750370225 623733728240 655138151990 668286137400 701933734275 711292850732 748480473888 748729316560 779667160300 786165782388 889116063415 891048183200 898475179872 917193412786 935600592360 935911645700 982707227985 984842728800 1048221043184 1066939276098 1123093974840 1169500740450 1244762488781 1247467456480 1310276303980 1336572274800 1375790119179 1403867468550 1422585701464 1497458633120 1559334320600 1572331564776 1637845379975 1778232126830 1834386825572 1871201184720 1871823291400 1965414455970 2096442086368 2133878552196 2246187949680 2292983531965 2339001480900 2489524977562 2620552607960 2667348190245 2673144549600 2751580238358 2807734937100 2845171402928 3118668641200 3144663129552 3210176944751 3275690759950 3556464253660 3668773651144 3734287466343 3742402369440 3743646582800 3930828911940 4267757104392 4445580317075 4492375899360 4585967063930 4678002961800 4913536139925 4979049955124 5241105215920 5334696380490 5503160476716 5615469874200 5690342805856 6223812443905 6237337282400 6289326259104 6420353889502 6551381519900 6878950595895 7112928507320 7337547302288 7468574932686 7487293165600 7861657823880 8535514208784 8713337421467 8891160634150 9171934127860 9356005923600 9630530834253 9827072279850 9958099910248 10482210431840 10669392760980 11006320953432 11230939748400 11464917659825 12447624887810 12840707779004 13102763039800 13336740951225 13757901191790 14225857014640 14675094604576 14937149865372 15723315647760 16050884723755 17071028417568 17426674842934 17782321268300 18343868255720 18671437331715 18712011847200 19261061668506 19654144559700 19916199820496 21338785521960 22012641906864 22461879496800 22929835319650 24895249775620 25681415558008 26140012264401 26205526079600 26673481902450 27515802383580 28451714029280 29874299730744 31119062219525 31446631295520 32101769447510 34394752979475 34853349685868 35564642536600 36687736511440 37342874663430 38522123337012 39308289119400 39832399640992 42677571043920 43566687107335 44025283813728 45859670639300 48152654171265 49790499551240 51362831116016 52280024528802 52411052159200 53346963804900 55031604767160 59748599461488 60993361950269 62238124439050 64203538895020 68789505958950 69706699371736 71129285073200 73375473022880 74685749326860 77044246674024 78616578238800 80254423618775 85355142087840 87133374214670 91719341278600 93357186658575 96305308342530 99580999102480 102725662232032 104560049057604 106693927609800 110063209534320 119497198922976 121986723900538 124476248878100 128407077790040 130700061322005 137579011917900 139413398743472 142258570146400 149371498653720 154088493348048 157233156477600 160508847237550 174266748429340 182980085850807 183438682557200 186714373317150 192610616685060 199161998204960 209120098115208 213387855219600 217833435536675 220126419068640 240763270856325 243973447801076 248952497756200 256814155580080 261400122644010 275158023835800 278826797486944 298742997307440 304966809751345 308176986696096 321017694475100 348533496858680 365960171701614 366877365114400 373428746634300 385221233370120 418240196230416 426775710439200 435666871073350 481526541712650 487946895602152 497904995512400 513628311160160 522800245288020 550316047671600 597485994614880 609933619502690 642035388950200 653500306610025 697066993717360 731920343403228 746857493268600 770442466740240 836480392460832 871333742146700 914900429254035 963053083425300 975893791204304 995809991024800 1045600490576040 1100632095343200 1219867239005380 1284070777900400 1307000613220050 1394133987434720 1463840686806456 1493714986537200 1524834048756725 1540884933480480 1742667484293400 1829800858508070 1926106166850600 1951787582408608 2091200981152080 2439734478010760 2568141555800800 2614001226440100 2927681373612912 2987429973074400 3049668097513450 3485334968586800 3659601717016140 3852212333701200 4182401962304160 4574502146270175 4879468956021520 5228002452880200 5855362747225824 6099336195026900 6970669937173600 7319203434032280 7704424667402400 9149004292540350 9758937912043040 10456004905760400 12198672390053800 14638406868064560 18298008585080700 20912009811520800 24397344780107600 29276813736129120 36596017170161400 48794689560215200 73192034340322800 146384068680645600
• Sum of all divisors σ(n): 584982598717440000
• Sum of proper divisors (its aliquot sum) s(n): 438598530036794400
• 146384068680645600 is an abundant number, because the sum of its proper divisors (438598530036794400) is greater than itself. Its abundance is 292214461356148800

Bases of 146384068680645600

• Binary: 1000001000000011111000100011101110011111000111101111100000₂
• Hexadecimal: 0x2080F88EE7C7BE0
• Base-36: 141CTKS7SZXC

Squares and roots of 146384068680645600

• 146384068680645600 squared (146384068680645600²) is 21428295563499968051880032799360000
• 146384068680645600 cubed (146384068680645600³) is 3136761089476552732100008103796460649220066816000000
• The square root of 146384068680645600 is 382601710.2427086643
• The cube root of 146384068680645600 is 527025.0660263285

Scales and comparisons

• 146,384,068,680,645,600 seconds is equal to 4,654,560,588 years, 20 weeks, 2 days, 3 hours, 20 minutes.
• To count from 1 to 146,384,068,680,645,600 would take you about thirteen billion, nine hundred sixty-three million, six hundred eighty-one thousand, seven hundred sixty-five 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 146384068680645600 cubic inches would be around 43918.8 feet tall.

Recreational maths with 146384068680645600

• 146384068680645600 backwards is 006546086860483641
• 146384068680645600 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 146384068680645600's digits is 75
• More coming soon!