189749841988304000

Names of 189749841988304000

• Cardinal: 189749841988304000 can be written as One hundred eighty-nine quadrillion, seven hundred forty-nine trillion, eight hundred forty-one billion, nine hundred eighty-eight million, three hundred four thousand.

Scientific notation

• Scientific notation: 1.89749841988304 × 10¹⁷

Factors of 189749841988304000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 524416

Divisors of 189749841988304000

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 31 32 37 40 41 50 52 62 64 65 74 80 82 100 104 124 125 128 130 148 155 160 164 185 200 205 208 248 250 260 296 310 320 325 328 370 400 403 410 416 481 496 500 520 533 592 620 640 650 656 740 775 800 806 820 832 925 962 992 1000 1025 1040 1066 1147 1184 1240 1271 1300 1312 1369 1480 1517 1550 1600 1612 1625 1640 1664 1850 1924 1984 2000 2015 2050 2080 2132 2294 2368 2405 2480 2542 2600 2624 2665 2738 2960 3034 3100 3200 3224 3250 3280 3700 3848 3875 3968 4000 4030 4100 4160 4264 4588 4625 4736 4810 4960 5084 5125 5200 5248 5330 5476 5735 5920 6068 6200 6355 6448 6500 6560 6845 7400 7585 7696 7750 8000 8060 8200 8320 8528 9176 9250 9620 9920 10075 10168 10250 10400 10660 10952 11470 11840 12025 12136 12400 12710 12896 13000 13120 13325 13690 14800 14911 15170 15392 15500 16000 16120 16400 16523 17056 17797 18352 18500 19240 19721 19840 20150 20336 20500 20800 21320 21904 22940 23680 24050 24272 24800 25420 25792 26000 26240 26650 27380 28675 29600 29822 30340 30784 31000 31775 32240 32800 33046 34112 34225 35594 36704 37000 37925 38480 39442 40300 40672 41000 41600 42439 42640 43808 45880 47027 48100 48544 49600 50375 50840 51584 52000 53300 54760 56129 57350 59200 59644 60125 60680 61568 62000 63550 64480 65600 66092 66625 68224 68450 71188 73408 74000 74555 75850 76960 78884 80600 81344 82000 82615 84878 85280 87616 88985 91760 94054 96200 97088 98605 99200 100750 101680 104000 106600 109520 112258 114700 118400 119288 120250 121360 124000 127100 128960 131200 132184 133250 136900 142376 143375 146816 148000 149110 151700 153920 157768 158875 161200 162688 164000 165230 169756 170560 171125 175232 177970 183520 188108 189625 192400 194176 197210 201500 203360 208000 212195 213200 219040 224516 229400 235135 238576 240500 242720 248000 254200 257920 264368 266500 273800 280645 284752 286750 296000 298220 303400 307840 315536 317750 322400 328000 330460 339512 341120 342250 355940 367040 372775 376216 379250 384800 394420 403000 406720 413075 424390 426400 438080 444925 449032 458800 470270 477152 481000 485440 493025 496000 508400 524287 528736 533000 547600 551707 561290 569504 573500 592000 596440 606800 611351 631072 635500 644800 656000 660920 679024 684500 711880 729677 734080 745550 752432 758500 769600 788840 806000 813440 826150 848780 852800 876160 889850 898064 917600 940540 954304 962000 970880 986050 1016800 1048574 1057472 1060975 1066000 1095200 1103414 1122580 1139008 1147000 1175675 1192880 1213600 1222702 1262144 1271000 1289600 1321840 1358048 1369000 1403225 1423760 1459354 1491100 1504864 1517000 1539200 1577680 1612000 1652300 1697560 1705600 1739999 1779700 1796128 1835200 1863875 1881080 1908608 1924000 1972100 2033600 2065375 2097148 2114944 2121950 2132000 2190400 2206828 2224625 2245160 2278016 2294000 2351350 2385760 2427200 2445404 2465125 2524288 2542000 2621435 2643680 2716096 2738000 2758535 2806450 2847520 2918708 2982200 3009728 3034000 3056755 3155360 3224000 3304600 3395120 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1166341967375 1177108200920 1194334174592 1202714378000 1232782237450 1250822953120 1272549406400 1282093526948 1292432990875 1323451382656 1332737554000 1386047056160 1424013823552 1435497806000 1446264039545 1471385251150 1492917718240 1530240661196 1563528691400 1577961263936 1590686758000 1602616908685 1654314228320 1690301288000 1732558820200 1780017279440 1824517711426 1866147147800 1883373121472 1912800826495 1924343004800 1954410864250 1972451579920 2017456376000 2067892785400 2132380086400 2165698525250 2225021599300 2235559768000 2296796489600 2314022463272 2332683934750 2354216401840 2405428756000 2465564474900 2501645906240 2545098812800 2564187053896 2584865981750 2665475108000 2772094112320 2781276999125 2848027647104 2870995612000 2892528079090 2942770502300 2985835436480 3060481322392 3081955593625 3127057382800 3155922527872 3181373516000 3205233817370 3308628456640 3380602576000 3465117640400 3560034558880 3649035422852 3678463127875 3732294295600 3766746242944 3825601652990 3908821728500 3944903159840 4034912752000 4135785570800 4331397050500 4450043198600 4471119536000 4561294278565 4628044926544 4665367869500 4708432803680 4810857512000 4931128949800 5003291812480 5128374107792 5169731963500 5330950216000 5544188224640 5562553998250 5741991224000 5785056158180 5885541004600 5971670872960 6120962644784 6163911187250 6254114765600 6362747032000 6410467634740 6617256913280 6930235280800 7120069117760 7231320197725 7298070845704 7356926255750 7464588591200 7651203305980 7817643457000 7889806319680 8013084543425 8271571141600 8662794101000 8900086397200 9122588557130 9256089853088 9330735739000 9416865607360 9564004132475 9621715024000 9862257899600 10256748215584 10339463927000 10661900432000 11125107996500 11483982448000 11570112316360 11771082009200 11859365124269 12241925289568 12327822374500 12508229531200 12725494064000 12820935269480 13860470561600 14240138235520 14462640395450 14596141691408 14713852511500 14929177182400 15302406611960 15635286914000 15779612639360 16026169086850 16543142283200 17325588202000 17800172794400 18245177114260 18512179706176 18661471478000 18833731214720 19128008264950 19724515799200 20513496431168 20678927854000 22250215993000 22806471392825 23140224632720 23542164018400 23718730248538 24483850579136 24655644749000 25016459062400 25641870538960 27720941123200 28925280790900 29192283382816 29427705023000 29858354364800 30604813223920 31270573828000 32052338173700 33086284566400 34651176404000 35600345588800 36156600988625 36490354228520 37024359412352 37322942956000 38256016529900 39449031598400 40065422717125 41026992862336 41357855708000 44500431986000 45612942785650 46280449265440 47084328036800 47437460497076 47820020662375 48967701158272 49311289498000 51283741077920 57850561581800 58384566765632 58855410046000 59296825621345 61209626447840 62541147656000 64104676347400 69302352808000 71200691177600 72313201977250 72980708457040 74645885912000 76512033059800 78898063196800 80130845434250 82715711416000 89000863972000 91225885571300 92560898530880 94168656073600 94874920994152 95640041324750 98622578996000 102567482155840 114032356964125 115701123163600 116769133531264 117710820092000 118593651242690 122419252895680 125082295312000 128209352694800 138604705616000 144626403954500 145961416914080 149291771824000 153024066119600 160261690868500 165431422832000 178001727944000 182451771142600 185121797061760 189749841988304 191280082649500 197245157992000 205134964311680 228064713928250 231402246327200 235421640184000 237187302485380 244838505791360 256418705389600 289252807909000 291922833828160 296484128106725 306048132239200 320523381737000 356003455888000 364903542285200 379499683976608 382560165299000 394490315984000 456129427856500 462804492654400 470843280368000 474374604970760 512837410779200 578505615818000 583845667656320 592968256213450 612096264478400 641046763474000 729807084570400 758999367953216 765120330598000 912258855713000 925608985308800 948749209941520 1025674821558400 1157011231636000 1185936512426900 1224192528956800 1282093526948000 1459614169140800 1482420640533625 1517998735906432 1530240661196000 1824517711426000 1897498419883040 2314022463272000 2371873024853800 2564187053896000 2919228338281600 2964841281067250 3060481322392000 3649035422852000 3794996839766080 4628044926544000 4743746049707600 5128374107792000 5929682562134500 6120962644784000 7298070845704000 7589993679532160 9487492099415200 11859365124269000 14596141691408000 18974984198830400 23718730248538000 37949968397660800 47437460497076000 94874920994152000 189749841988304000
• Sum of all divisors σ(n): 552148756259143680
• Sum of proper divisors (its aliquot sum) s(n): 362398914270839680
• 189749841988304000 is an abundant number, because the sum of its proper divisors (362398914270839680) is greater than itself. Its abundance is 172649072282535680

Bases of 189749841988304000

• Binary: 1010100010001000000111100111010111111001100011110010000000₂
• Hexadecimal: 0x2A22079D7E63C80
• Base-36: 1FWCPE0K3K3K

Squares and roots of 189749841988304000

• 189749841988304000 squared (189749841988304000²) is 36005002534586335696072796416000000
• 189749841988304000 cubed (189749841988304000³) is 6831943541726242224044251358132898845118464000000000
• The square root of 189749841988304000 is 435602848.9212438565
• The cube root of 189749841988304000 is 574637.2931079227

Scales and comparisons

• 189,749,841,988,304,000 seconds is equal to 6,033,458,040 years, 22 weeks, 2 days, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 189,749,841,988,304,000 would take you about eighteen billion, one hundred million, three hundred seventy-four thousand, one hundred twenty-one 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 189749841988304000 cubic inches would be around 47886.4 feet tall.

Recreational maths with 189749841988304000

• 189749841988304000 backwards is 000403889148947981
• The number of decimal digits it has is: 18
• The sum of 189749841988304000's digits is 83
• More coming soon!