13838827290624

Names of 13838827290624

• Cardinal: 13838827290624 can be written as Thirteen trillion, eight hundred thirty-eight billion, eight hundred twenty-seven million, two hundred ninety thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 1.3838827290624 × 10¹³

Factors of 13838827290624

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 2698

Divisors of 13838827290624

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 54 56 58 63 64 72 84 87 96 108 112 116 126 128 144 168 174 189 192 203 216 224 232 252 256 261 288 336 348 378 384 406 432 448 464 504 512 522 576 609 672 696 756 768 783 812 841 864 896 928 1008 1024 1044 1152 1218 1344 1392 1512 1536 1566 1624 1682 1728 1792 1827 1856 2016 2048 2088 2304 2436 2523 2657 2688 2784 3024 3072 3132 3248 3364 3456 3584 3654 3712 4032 4096 4176 4608 4872 5046 5314 5376 5481 5568 5887 6048 6144 6264 6496 6728 6912 7168 7308 7424 7569 7971 8064 8192 8352 9216 9744 10092 10628 10752 10962 11136 11774 12096 12288 12528 12992 13456 13824 14336 14616 14848 15138 15942 16128 16384 16704 17661 18432 18599 19488 20184 21256 21504 21924 22272 22707 23548 23913 24192 24576 25056 25984 26912 27648 28672 29232 29696 30276 31884 32256 32768 33408 35322 36864 37198 38976 40368 42512 43008 43848 44544 45414 47096 47826 48384 49152 50112 51968 52983 53824 55296 55797 57344 58464 59392 60552 63768 64512 66816 70644 71739 73728 74396 77053 77952 80736 85024 86016 87696 89088 90828 94192 95652 96768 98304 100224 103936 105966 107648 110592 111594 114688 116928 118784 121104 127536 129024 133632 141288 143478 147456 148792 154106 155904 158949 161472 167391 170048 172032 175392 178176 181656 188384 191304 193536 200448 207872 211932 215296 221184 223188 229376 231159 233856 237568 242208 255072 258048 267264 282576 286956 294912 297584 308212 311808 317898 322944 334782 340096 344064 350784 356352 363312 376768 382608 387072 400896 415744 423864 430592 442368 446376 462318 467712 475136 484416 502173 510144 516096 534528 539371 565152 573912 595168 616424 623616 635796 645888 669564 680192 688128 693477 701568 712704 726624 753536 765216 774144 801792 831488 847728 861184 884736 892752 924636 935424 950272 968832 1004346 1020288 1032192 1069056 1078742 1130304 1147824 1190336 1232848 1247232 1271592 1291776 1339128 1360384 1386954 1403136 1425408 1453248 1507072 1530432 1548288 1603584 1618113 1662976 1695456 1722368 1785504 1849272 1870848 1937664 2008692 2040576 2064384 2080431 2138112 2157484 2234537 2260608 2295648 2380672 2465696 2494464 2543184 2583552 2678256 2720768 2773908 2806272 2850816 2906496 3014144 3060864 3096576 3207168 3236226 3325952 3390912 3444736 3571008 3698544 3741696 3875328 4017384 4081152 4160862 4276224 4314968 4469074 4521216 4591296 4761344 4854339 4931392 4988928 5086368 5167104 5356512 5441536 5547816 5612544 5812992 6028288 6121728 6193152 6414336 6472452 6651904 6703611 6781824 6889472 7142016 7397088 7483392 7750656 8034768 8162304 8321724 8552448 8629936 8938148 9042432 9182592 9522688 9708678 9862784 9977856 10172736 10334208 10713024 10883072 11095632 11225088 11625984 12056576 12243456 12828672 12944904 13407222 13563648 13778944 14284032 14563017 14794176 14966784 15501312 15641759 16069536 16324608 16643448 17259872 17876296 18084864 18365184 19045376 19417356 19725568 19955712 20110833 20345472 20668416 21426048 21766144 22191264 22450176 23251968 24113152 24486912 25657344 25889808 26814444 27127296 27557888 28568064 29126034 29588352 29933568 31002624 31283518 32139072 32649216 33286896 34519744 35752592 36169728 36730368 38090752 38834712 39451136 40221666 40690944 41336832 42852096 43532288 44382528 44900352 46503936 46925277 48226304 48973824 51779616 53628888 54254592 57136128 58252068 59176704 59867136 60332499 62005248 62567036 64278144 65298432 66573792 69039488 71505184 72339456 73460736 76181504 77669424 78902272 80443332 81381888 82673664 85704192 87064576 88765056 89800704 93007872 93850554 96452608 97947648 103559232 107257776 108509184 114272256 116504136 118353408 120664998 124010496 125134072 128556288 130596864 133147584 138078976 140775831 143010368 144678912 146921472 152363008 155338848 157804544 160886664 162763776 171408384 177530112 179601408 186015744 187701108 192905216 195895296 207118464 214515552 217018368 228544512 233008272 236706816 241329996 248020992 250268144 257112576 261193728 266295168 276157952 281551662 286020736 289357824 293842944 304726016 310677696 315609088 321773328 325527552 342816768 355060224 372031488 375402216 391790592 414236928 422327493 429031104 434036736 457089024 466016544 473413632 482659992 500536288 514225152 532590336 552315904 563103324 572041472 578715648 587685888 609452032 621355392 631218176 643546656 651055104 685633536 710120448 744062976 750804432 783581184 828473856 844654986 858062208 868073472 914178048 932033088 946827264 965319984 1001072576 1028450304 1065180672 1104631808 1126206648 1144082944 1175371776 1242710784 1262436352 1287093312 1302110208 1371267072 1420240896 1501608864 1656947712 1689309972 1716124416 1736146944 1828356096 1864066176 1893654528 1930639968 2002145152 2056900608 2130361344 2209263616 2252413296 2288165888 2350743552 2485421568 2524872704 2574186624 2604220416 2742534144 2840481792 3003217728 3313895424 3378619944 3432248832 3728132352 3787309056 3861279936 4004290304 4113801216 4260722688 4418527232 4504826592 4576331776 4970843136 5148373248 5208440832 5485068288 5680963584 6006435456 6627790848 6757239888 6864497664 7456264704 7574618112 7722559872 8008580608 8227602432 8521445376 8837054464 9009653184 9152663552 9941686272 10296746496 11361927168 12012870912 13255581696 13514479776 13728995328 14912529408 15445119744 16017161216 16455204864 17042890752 17674108928 18019306368 18305327104 19883372544 20593492992 22723854336 24025741824 26511163392 27028959552 27457990656 29825058816 30890239488 32034322432 34085781504 36038612736 36610654208 39766745088 41186985984 48051483648 53022326784 54057919104 54915981312 59650117632 61780478976 64068644864 68171563008 72077225472 73221308416 79533490176 82373971968 96102967296 108115838208 109831962624 119300235264 123560957952 128137289728 144154450944 159066980352 164747943936 192205934592 216231676416 219663925248 238600470528 247121915904 256274579456 288308901888 329495887872 384411869184 432463352832 477200941056 494243831808 512549158912 576617803776 658991775744 768823738368 864926705664 988487663616 1153235607552 1537647476736 1729853411328 1976975327232 2306471215104 3459706822656 4612942430208 6919413645312 13838827290624
• Sum of all divisors σ(n): 48550802601600
• Sum of proper divisors (its aliquot sum) s(n): 34711975310976
• 13838827290624 is an abundant number, because the sum of its proper divisors (34711975310976) is greater than itself. Its abundance is 20873148020352

Bases of 13838827290624

• Binary: 11001001011000011010011000101000000000000000₂
• Hexadecimal: 0xC961A628000
• Base-36: 4WLGWGLC0

Squares and roots of 13838827290624

• 13838827290624 squared (13838827290624²) is 191513140779719600558309376
• 13838827290624 cubed (13838827290624³) is 2650317279135499686600776059600056090624
• The square root of 13838827290624 is 3720057.4310921599
• The cube root of 13838827290624 is 24008.5775420419

Scales and comparisons

• 13,838,827,290,624 seconds is equal to 440,031 years, 46 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 13,838,827,290,624 would take you about one million, one hundred thousand and seventy-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 13838827290624 cubic inches would be around 2000.7 feet tall.

Recreational maths with 13838827290624

• 13838827290624 backwards is 42609272883831
• 13838827290624 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13838827290624's digits is 63
• More coming soon!