13722903148120320

Names of 13722903148120320

• Cardinal: 13722903148120320 can be written as Thirteen quadrillion, seven hundred twenty-two trillion, nine hundred three billion, one hundred forty-eight million, one hundred twenty thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.372290314812032 × 10¹⁶

Factors of 13722903148120320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 80436192

Divisors of 13722903148120320

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 70 77 80 84 88 96 105 110 112 120 128 132 140 154 160 165 168 176 192 210 220 224 231 240 256 264 280 308 320 330 336 352 384 385 420 440 448 462 480 528 560 577 616 640 660 672 704 768 770 840 880 896 924 960 1056 1120 1154 1155 1232 1280 1320 1344 1408 1540 1680 1731 1760 1792 1848 1920 2112 2240 2308 2310 2464 2640 2688 2816 2885 3080 3360 3462 3520 3696 3840 4039 4224 4480 4616 4620 4928 5280 5376 5770 6160 6347 6720 6924 7040 7392 8078 8448 8655 8960 9232 9240 9856 10560 11540 12117 12320 12694 13440 13848 14080 14784 16156 17310 18464 18480 19041 19712 20195 21120 23080 24234 24640 25388 26880 27696 29568 31735 32312 34620 36928 36960 38082 40390 42240 44429 46160 48468 49280 50776 55392 59136 60585 63470 64624 69240 73856 73920 76164 80780 88858 92320 95205 96936 98560 101552 110784 121170 126940 129248 133287 138480 147712 147840 152328 161560 177716 184640 190410 193872 203104 221568 222145 242340 253880 258496 266574 276960 295680 304656 323120 355432 369280 380820 387744 406208 443136 444290 484680 507760 516992 533148 553920 609312 646240 666435 710864 738560 761640 775488 812416 888580 969360 1015520 1033984 1066296 1107840 1218624 1292480 1332870 1421728 1523280 1550976 1624832 1777160 1938720 2031040 2132592 2215680 2437248 2584960 2665740 2843456 3046560 3101952 3554320 3877440 4062080 4265184 4874496 5169920 5331480 5686912 6093120 7108640 7754880 8124160 8530368 10662960 11373824 12186240 14217280 15509760 17060736 21325920 24372480 28434560 34121472 42651840 56869120 80435587 85303680 160871174 170607360 241306761 321742348 402177935 482613522 563049109 643484696 804355870 884791457 965227044 1126098218 1206533805 1286969392 1608711740 1689147327 1769582914 1930454088 2252196436 2413067610 2573938784 2654374371 2815245545 3217423480 3378294654 3539165828 3860908176 4423957285 4504392872 4826135220 5147877568 5308748742 5630491090 6193540199 6434846960 6756589308 7078331656 7721816352 8445736635 8847914570 9008785744 9652270440 10295755136 10617497484 11260982180 12387080398 12869693920 13271871855 13513178616 14156663312 15443632704 16891473270 17695829140 18017571488 18580620597 19304540880 20591510272 21234994968 22521964360 24774160796 25739387840 26543743710 27026357232 28313326624 30887265408 30967700995 33782946540 35391658280 36035142976 37161241194 38609081760 42469989936 45043928720 46411333699 49548321592 51478775680 53087487420 54052714464 56626653248 61774530816 61935401990 67565893080 70783316560 72070285952 74322482388 77218163520 84939979872 90087857440 92822667398 92903102985 99096643184 102957551360 106174974840 108105428928 113253306496 123870803980 135131786160 139234001097 141566633120 144140571904 148644964776 154436327040 169879959744 180175714880 185645334796 185806205970 198193286368 212349949680 216210857856 226506612992 232056668495 247741607960 270263572320 278468002194 283133266240 297289929552 308872654080 324879335893 339759919488 360351429760 371290669592 371612411940 396386572736 424699899360 432421715712 464113336990 495483215920 510524670689 540527144640 556936004388 566266532480 594579859104 649758671786 679519838976 696170005485 720702859520 742581339184 743224823880 792773145472 849399798720 928226673980 974638007679 990966431840 1021049341378 1081054289280 1113872008776 1132533064960 1189159718208 1299517343572 1392340010970 1485162678368 1486449647760 1531574012067 1585546290944 1624396679465 1698799597440 1856453347960 1949276015358 1981932863680 2042098682756 2162108578560 2227744017552 2378319436416 2552623353445 2599034687144 2784680021940 2970325356736 2972899295520 3063148024134 3248793358930 3397599194880 3573672694823 3712906695920 3898552030716 3963865727360 4084197365512 4455488035104 4756638872832 4873190038395 5105246706890 5198069374288 5569360043880 5940650713472 5945798591040 6126296048268 6497586717860 7147345389646 7425813391840 7657870060335 7797104061432 7927731454720 8168394731024 8910976070208 9746380076790 10210493413780 10396138748576 10721018084469 11138720087760 11881301426944 11891597182080 12252592096536 12995173435720 14294690779292 14851626783680 15315740120670 15594208122864 16336789462048 17821952140416 17868363474115 19492760153580 20420986827560 20792277497152 21442036168938 22277440175520 23783194364160 24505184193072 25990346871440 28589381558584 29703253567360 30631480241340 31188416245728 32673578924096 35643904280832 35736726948230 38985520307160 40841973655120 41584554994304 42884072337876 44554880351040 49010368386144 51980693742880 53605090422345 57178763117168 59406507134720 61262960482680 62376832491456 65347157848192 71473453896460 77971040614320 81683947310240 83169109988608 85768144675752 89109760702080 98020736772288 103961387485760 107210180844690 114357526234336 122525920965360 124753664982912 130694315696384 142946907792920 155942081228640 163367894620480 171536289351504 178219521404160 196041473544576 207922774971520 214420361689380 228715052468672 245051841930720 249507329965824 285893815585840 311884162457280 326735789240960 343072578703008 392082947089152 415845549943040 428840723378760 457430104937344 490103683861440 571787631171680 623768324914560 653471578481920 686145157406016 857681446757520 914860209874688 980207367722880 1143575262343360 1247536649829120 1372290314812032 1715362893515040 1960414735445760 2287150524686720 2744580629624064 3430725787030080 4574301049373440 6861451574060160 13722903148120320
• Sum of all divisors σ(n): 54736806298761216
• Sum of proper divisors (its aliquot sum) s(n): 41013903150640896
• 13722903148120320 is an abundant number, because the sum of its proper divisors (41013903150640896) is greater than itself. Its abundance is 27291000002520576

Bases of 13722903148120320

• Binary: 110000110000001110100001011111011011100100100100000000₂
• Hexadecimal: 0x30C0E85F6E4900
• Base-36: 3R4D2OBJ4LC

Squares and roots of 13722903148120320

• 13722903148120320 squared (13722903148120320²) is 188318070812690589317549196902400
• 13722903148120320 cubed (13722903148120320³) is 2584270646803417036775953977523504328126496768000
• The square root of 13722903148120320 is 117144795.6510246339
• The cube root of 13722903148120320 is 239413.5167638105

Scales and comparisons

• 13,722,903,148,120,320 seconds is equal to 436,345,872 years, 19 weeks, 6 days, 16 hours, 32 minutes.
• To count from 1 to 13,722,903,148,120,320 would take you about one billion, three hundred nine million, thirty-seven thousand, six hundred seventeen 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 13722903148120320 cubic inches would be around 19951.1 feet tall.

Recreational maths with 13722903148120320

• 13722903148120320 backwards is 02302184130922731
• 13722903148120320 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13722903148120320's digits is 48
• More coming soon!