1331338974224842752

Names of 1331338974224842752

• Cardinal: 1331338974224842752 can be written as One quintillion, three hundred thirty-one quadrillion, three hundred thirty-eight trillion, nine hundred seventy-four billion, two hundred twenty-four million, eight hundred forty-two thousand, seven hundred fifty-two.

Scientific notation

• Scientific notation: 1.331338974224842752 × 10¹⁸

Factors of 1331338974224842752

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 9700

Divisors of 1331338974224842752

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 256 312 318 384 416 424 512 624 636 689 768 832 848 1024 1248 1272 1378 1536 1664 1696 2048 2067 2496 2544 2756 2809 3072 3328 3392 4096 4134 4992 5088 5512 5618 6144 6656 6784 8192 8268 8427 9629 9984 10176 11024 11236 12288 13312 13568 16384 16536 16854 19258 19968 20352 22048 22472 24576 26624 27136 28887 32768 33072 33708 36517 38516 39936 40704 44096 44944 49152 53248 54272 57774 65536 66144 67416 73034 77032 79872 81408 88192 89888 98304 106496 108544 109551 115548 125177 131072 132288 134832 146068 154064 159744 162816 176384 179776 196608 212992 217088 219102 231096 250354 264576 269664 292136 308128 319488 325632 352768 359552 375531 393216 425984 434176 438204 462192 500708 510337 529152 539328 584272 616256 638976 651264 705536 719104 751062 851968 868352 876408 924384 1001416 1020674 1058304 1078656 1168544 1232512 1277952 1302528 1411072 1438208 1502124 1531011 1703936 1736704 1752816 1848768 2002832 2041348 2116608 2157312 2337088 2465024 2555904 2605056 2822144 2876416 3004248 3062022 3473408 3505632 3697536 4005664 4082696 4233216 4314624 4674176 4930048 5111808 5210112 5644288 5752832 6008496 6124044 6634381 6946816 7011264 7395072 8011328 8165392 8466432 8629248 9348352 9860096 10420224 11288576 11505664 12016992 12248088 13268762 14022528 14790144 16022656 16330784 16932864 17258496 18696704 19720192 19903143 20840448 22577152 23011328 24033984 24496176 26537524 27047861 28045056 29580288 32045312 32661568 33865728 34516992 37393408 39440384 39806286 45154304 46022656 48067968 48992352 53075048 54095722 56090112 59160576 64090624 65323136 67731456 69033984 74786816 78880768 79612572 81143583 90308608 92045312 92717641 96135936 97984704 106150096 108191444 112180224 118321152 128181248 130646272 135462912 138067968 149573632 157761536 159225144 162287166 184090624 185435282 192271872 195969408 212300192 216382888 224360448 236642304 256362496 261292544 270925824 276135936 278152923 299147264 315523072 318450288 324574332 351622193 368181248 370870564 384543744 391938816 424600384 432765776 448720896 473284608 512724992 522585088 552271872 556305846 598294528 631046144 636900576 649148664 703244386 741741128 769087488 783877632 849200768 865531552 897441792 946569216 1025449984 1045170176 1054866579 1104543744 1112611692 1196589056 1205329333 1262092288 1273801152 1298297328 1406488772 1483482256 1538174976 1567755264 1698401536 1731063104 1794883584 1893138432 2050899968 2090340352 2109733158 2225223384 2393178112 2410658666 2547602304 2596594656 2812977544 2966964512 3076349952 3135510528 3396803072 3462126208 3589767168 3615987999 3786276864 4101799936 4180680704 4219466316 4450446768 4786356224 4821317332 4914034973 5095204608 5193189312 5625955088 5933929024 6152699904 6271021056 6793606144 6924252416 7179534336 7231975998 8203599872 8361361408 8438932632 8900893536 9642634664 9828069946 10190409216 10386378624 11251910176 11867858048 12305399808 12542042112 13587212288 13848504832 14359068672 14463951996 14742104919 16407199744 16722722816 16877865264 17801787072 19285269328 19656139892 20380818432 20772757248 22503820352 23735716096 24610799616 25084084224 27174424576 27697009664 28927903992 29484209838 33445445632 33755730528 35603574144 38570538656 39312279784 40761636864 41545514496 45007640704 47471432192 49221599232 50168168448 54348849152 55394019328 57855807984 58968419676 63882454649 66890891264 67511461056 71207148288 77141077312 78624559568 81523273728 83091028992 90015281408 94942864384 100336336896 108697698304 110788038656 115711615968 117936839352 127764909298 135022922112 142414296576 154282154624 157249119136 163046547456 166182057984 180030562816 189885728768 191647363947 200672673792 217395396608 221576077312 231423231936 235873678704 255529818596 260443853569 270045844224 284828593152 308564309248 314498238272 326093094912 332364115968 360061125632 379771457536 383294727894 434790793216 443152154624 462846463872 471747357408 511059637192 520887707138 540091688448 569657186304 617128618496 628996476544 652186189824 664728231936 720122251264 759542915072 766589455788 781331560707 869581586432 886304309248 925692927744 943494714816 1022119274384 1041775414276 1080183376896 1139314372608 1234257236992 1257992953088 1304372379648 1329456463872 1440244502528 1519085830144 1533178911576 1562663121414 1772608618496 1851385855488 1886989429632 2044238548768 2083550828552 2160366753792 2278628745216 2468514473984 2515985906176 2608744759296 2658912927744 2880489005056 3038171660288 3066357823152 3125326242828 3385770096397 3545217236992 3702771710976 3773978859264 4088477097536 4167101657104 4320733507584 4557257490432 4937028947968 5031971812352 5317825855488 5760978010112 6076343320576 6132715646304 6250652485656 6771540192794 7405543421952 7547957718528 8176954195072 8334203314208 8641467015168 9114514980864 9874057895936 10063943624704 10157310289191 10635651710976 11521956020224 12152686641152 12265431292608 12501304971312 13543080385588 14811086843904 15095915437056 16353908390144 16668406628416 17282934030336 18229029961728 19748115791872 20127887249408 20314620578382 23043912040448 24530862585216 25002609942624 27086160771176 29622173687808 30191830874112 32707816780288 33336813256832 34565868060672 36458059923456 39496231583744 40255774498816 40629241156764 46087824080896 49061725170432 50005219885248 54172321542352 59244347375616 60383661748224 65415633560576 66673626513664 69131736121344 78992463167488 80511548997632 81258482313528 98123450340864 100010439770496 108344643084704 118488694751232 120767323496448 130831267121152 133347253027328 138263472242688 157984926334976 161023097995264 162516964627056 196246900681728 200020879540992 216689286169408 236977389502464 241534646992896 261662534242304 266694506054656 322046195990528 325033929254112 392493801363456 400041759081984 433378572338816 473954779004928 483069293985792 523325068484608 533389012109312 644092391981056 650067858508224 784987602726912 800083518163968 866757144677632 966138587971584 1046650136969216 1066778024218624 1300135717016448 1569975205453824 1600167036327936 1733514289355264 1932277175943168 2093300273938432 2133556048437248 2600271434032896 3139950410907648 3200334072655872 3467028578710528 4186600547876864 4267112096874496 5200542868065792 6279900821815296 6400668145311744 6934057157421056 8373201095753728 8534224193748992 10401085736131584 12559801643630592 12801336290623488 13868114314842112 17068448387497984 20802171472263168 25119603287261184 25602672581246976 27736228629684224 34136896774995968 41604342944526336 51205345162493952 55472457259368448 83208685889052672 102410690324987904 110944914518736896 166417371778105344 221889829037473792 332834743556210688 443779658074947584 665669487112421376 1331338974224842752
• Sum of all divisors σ(n): 3897221760321054984
• Sum of proper divisors (its aliquot sum) s(n): 2565882786096212232
• 1331338974224842752 is an abundant number, because the sum of its proper divisors (2565882786096212232) is greater than itself. Its abundance is 1234543811871369480

Bases of 1331338974224842752

• Binary: 1001001111001110111011011111001001010010011100000000000000000₂
• Hexadecimal: 0x1279DDBE4A4E0000
• Base-36: A44WA1EJSTMO

Squares and roots of 1331338974224842752

• 1331338974224842752 squared (1331338974224842752²) is 1772463464290056513568587159126933504
• 1331338974224842752 cubed (1331338974224842752³) is 2359749690398935040306849939807912864591546542360363008
• The square root of 1331338974224842752 is 1153836632.3812235213
• The cube root of 1331338974224842752 is 1100093.3734029405

Scales and comparisons

• 1,331,338,974,224,842,752 seconds is equal to 42,332,461,278 years, 26 weeks, 6 days, 2 hours, 59 minutes, 12 seconds.
• To count from 1 to 1,331,338,974,224,842,752 would take you about one hundred forty-eight billion, one hundred sixty-three million, six hundred fourteen thousand, four hundred seventy-four 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 1331338974224842752 cubic inches would be around 91674.4 feet tall.

Recreational maths with 1331338974224842752

• 1331338974224842752 backwards is 2572484224798331331
• 1331338974224842752 is a Harshad number.
• The number of decimal digits it has is: 19
• The sum of 1331338974224842752's digits is 78
• More coming soon!