12940701510318800

Names of 12940701510318800

• Cardinal: 12940701510318800 can be written as Twelve quadrillion, nine hundred forty trillion, seven hundred one billion, five hundred ten million, three hundred eighteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.29407015103188 × 10¹⁶

Factors of 12940701510318800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 362

Divisors of 12940701510318800

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 131 172 181 200 215 262 344 362 400 430 524 655 688 724 860 905 1048 1075 1310 1448 1720 1810 1849 2096 2150 2620 2896 3275 3440 3620 3698 4300 4525 5240 5633 6550 7240 7396 7783 8600 9050 9245 10480 11266 13100 14480 14792 15566 17161 17200 18100 18490 22532 23711 26200 28165 29584 31132 34322 36200 36980 38915 45064 46225 47422 52400 56330 62264 68644 72400 73960 77830 79507 85805 90128 92450 94844 112660 118555 124528 137288 140825 147920 155660 159014 171610 184900 189688 194575 225320 237110 242219 274576 281650 311320 318028 334669 343220 369800 379376 389150 397535 429025 450640 474220 484438 563300 592775 622640 636056 669338 686440 737923 739600 778300 795070 858050 948440 968876 1019573 1126600 1185550 1211095 1272112 1338676 1372880 1475846 1556600 1590140 1673345 1716100 1896880 1937752 1987675 2039146 2248091 2253200 2371100 2422190 2677352 2951692 3106141 3113200 3180280 3346690 3432200 3689615 3875504 3975350 4078292 4496182 4742200 4844380 5097865 5354704 5903384 6055475 6212282 6360560 6693380 6864400 7379230 7950700 8156584 8366725 8992364 9484400 9688760 10195730 10415417 11240455 11806768 12110950 12424564 13386760 14390767 14758460 15530705 15901400 16313168 16733450 17984728 18448075 19377520 20391460 20830834 22480910 24221900 24849128 25489325 26773520 28781534 29516920 31061410 31730689 31802800 33466900 35969456 36896150 40782920 41661668 43841639 44961820 48443800 49698256 50978650 52077085 56202275 57563068 59033840 62122820 63461378 66933800 71953835 73792300 77653525 81565840 83323336 87683278 89923640 96667913 96887600 101957300 104154170 112404550 115126136 124245640 126922756 133564063 133867600 143907670 147584600 155307050 158653445 166646672 175366556 179847280 193335826 203914600 208308340 219208195 224809100 230252272 248491280 253845512 260385425 267128126 287815340 295169200 310614100 317306890 350733112 359769175 386671652 406904471 407829200 416616680 438416390 449618200 483339565 507691024 520770850 534256252 575630680 621228200 634613780 667820315 701466224 719538350 773343304 793267225 813808942 833233360 876832780 899236400 966679130 1041541700 1068512504 1096040975 1151261360 1242456400 1269227560 1335640630 1364419627 1439076700 1546686608 1586534450 1627617884 1753665560 1885190477 1933358260 2034522355 2083083400 2137025008 2192081950 2416697825 2538455120 2671281260 2728839254 2878153400 3173068900 3255235768 3339101575 3507331120 3770380954 3866716520 4069044710 4156720259 4166166800 4384163900 4833395650 5342562520 5457678508 5743254709 5756306800 6346137800 6510471536 6678203150 6822098135 7540761908 7733433040 8138089420 8313440518 8768327800 9425952385 9666791300 10172611775 10685125040 10915357016 11486509418 12692275600 13356406300 13644196270 15081523816 16276178840 16626881036 17496892253 17536655600 18851904770 19333582600 20345223550 20783601295 21830714032 22973018836 26712812600 27288392540 28716273545 30163047632 32552357680 33253762072 34110490675 34993784506 37703809540 38667165200 40690447100 41567202590 45946037672 47129761925 53425625200 54576785080 57432547090 66507524144 68220981350 69987569012 75407619080 81380894200 83134405180 87484461265 91892075344 94259523850 103918006475 109153570160 114865094180 136441962700 139975138024 143581367725 150815238160 162761788400 166268810360 174968922530 178738971137 188519047700 207836012950 229730188360 246959952487 272883925400 279950276048 287162735450 332537620720 349937845060 357477942274 377038095400 415672025900 437422306325 459460376720 493919904974 545767850800 574325470900 699875690120 714955884548 752366366879 754076190800 831344051800 874844612650 893694855685 987839809948 1148650941800 1234799762435 1399751380240 1429911769096 1504732733758 1662688103600 1749689225300 1787389711370 1975679619896 2297301883600 2469599524870 2859823538192 3009465467516 3499378450600 3574779422740 3761831834395 3951359239792 4468474278425 4939199049740 6018930935032 6173998812175 6998756901200 7149558845480 7523663668790 8936948556850 9878398099480 12037861870064 12347997624350 14299117690960 15047327337580 17873897113700 18809159171975 19756796198960 24695995248700 30094654675160 32351753775797 35747794227400 37618318343950 49391990497400 60189309350320 64703507551594 71495588454800 75236636687900 98783980994800 129407015103188 150473273375800 161758768878985 258814030206376 300946546751600 323517537757970 517628060412752 647035075515940 808793844394925 1294070151031880 1617587688789850 2588140302063760 3235175377579700 6470350755159400 12940701510318800
• Sum of all divisors σ(n): 32252323658755200
• Sum of proper divisors (its aliquot sum) s(n): 19311622148436400
• 12940701510318800 is an abundant number, because the sum of its proper divisors (19311622148436400) is greater than itself. Its abundance is 6370920638117600

Bases of 12940701510318800

• Binary: 101101111110010111111111011100101010101011101011010000₂
• Hexadecimal: 0x2DF97FDCAABAD0
• Base-36: 3JF3G7C8CSW

Squares and roots of 12940701510318800

• 12940701510318800 squared (12940701510318800²) is 167461755579167271382877633440000
• 12940701510318800 cubed (12940701510318800³) is 2167072593343967641005622905319095883940672000000
• The square root of 12940701510318800 is 113757204.2128268903
• The cube root of 12940701510318800 is 234775.4094510487

Scales and comparisons

• 12,940,701,510,318,800 seconds is equal to 411,474,279 years, 42 weeks, 21 hours, 53 minutes, 20 seconds.
• To count from 1 to 12,940,701,510,318,800 would take you about one billion, two hundred thirty-four million, four hundred twenty-two thousand, eight hundred thirty-nine 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 12940701510318800 cubic inches would be around 19564.6 feet tall.

Recreational maths with 12940701510318800

• 12940701510318800 backwards is 00881301510704921
• 12940701510318800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12940701510318800's digits is 50
• More coming soon!