138416705123840

Names of 138416705123840

• Cardinal: 138416705123840 can be written as One hundred thirty-eight trillion, four hundred sixteen billion, seven hundred five million, one hundred twenty-three thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3841670512384 × 10¹⁴

Factors of 138416705123840

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3319

Divisors of 138416705123840

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 4 5 8 10 11 13 16 19 20 22 23 26 32 38 40 44 46 52 55 64 65 76 80 88 92 95 104 110 115 128 130 143 152 160 176 184 190 208 209 220 230 247 253 256 260 286 293 299 304 320 352 368 380 416 418 437 440 460 494 506 512 520 572 586 598 608 640 704 715 736 760 832 836 874 880 920 988 1012 1040 1045 1144 1172 1196 1216 1235 1265 1280 1408 1430 1465 1472 1495 1520 1664 1672 1748 1760 1840 1976 2024 2080 2090 2185 2288 2344 2392 2432 2470 2530 2560 2717 2816 2860 2930 2944 2953 2990 3040 3223 3289 3328 3344 3496 3520 3680 3809 3952 4048 4160 4180 4370 4576 4688 4784 4807 4864 4940 5060 5434 5567 5632 5681 5720 5860 5888 5906 5980 6080 6446 6578 6656 6688 6739 6992 7040 7360 7618 7904 8096 8320 8360 8740 9152 9376 9568 9614 9728 9880 10120 10868 11134 11362 11440 11720 11776 11812 11960 12160 12892 13156 13376 13478 13585 13984 14080 14720 14765 15236 15808 16115 16192 16445 16640 16720 17480 18304 18752 19045 19136 19228 19760 20240 21736 22268 22724 22880 23440 23624 23920 24035 24320 25784 26312 26752 26956 27170 27835 27968 28160 28405 29440 29530 30472 31616 32230 32384 32483 32890 33280 33440 33695 34960 36608 37504 38090 38272 38389 38456 39520 40480 41899 43472 44536 45448 45760 46880 47248 47840 48070 48640 51568 52624 53504 53912 54340 55670 55936 56107 56810 58880 59060 60944 61237 62491 63232 64460 64768 64966 65780 66880 67390 67919 69920 72371 73216 74129 75008 76180 76544 76778 76912 79040 80960 83798 86944 87607 89072 90896 91520 93760 94496 95680 96140 103136 105248 107008 107824 108680 111340 111872 112214 113620 118120 121888 122474 124982 126464 128041 128920 129536 129932 131560 133760 134780 135838 139840 144742 148258 150016 152360 153088 153556 153824 158080 161920 162415 167596 173888 175214 178144 181792 183040 187520 188992 191360 191945 192280 206272 209495 210496 215648 217360 222680 223744 224428 227240 236240 243776 244948 249964 256082 257840 259864 263120 267520 269560 271676 279680 280535 289484 296516 304720 306185 307112 307648 312455 316160 323840 324830 335192 339595 347776 350428 356288 361855 363584 366080 370645 375040 377984 382720 383890 384560 412544 418990 420992 422279 431296 434720 438035 445360 448856 454480 472480 487552 489896 499928 512164 515680 519728 526240 535040 539120 543352 559360 561070 578968 593032 609440 612370 614224 615296 617177 624910 632320 640205 647680 649660 670384 679190 695552 700856 712576 723710 727168 729391 741290 747109 750080 755968 765440 767780 769120 796081 825088 837980 841984 844558 862592 865229 869440 876070 882947 890720 897712 908960 944960 963677 975104 979792 999856 1024328 1031360 1039456 1052480 1078240 1086704 1118720 1122140 1157936 1186064 1218880 1224740 1228448 1230592 1234354 1249820 1280410 1290461 1299320 1340768 1358380 1391104 1401712 1408451 1425152 1447420 1454336 1458782 1482580 1494218 1511936 1535560 1538240 1592162 1650176 1664533 1675960 1683968 1689116 1725184 1730458 1738880 1752140 1765894 1781440 1795424 1817920 1889920 1927354 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19796439520 20539650560 20696277680 20795779015 21042369280 21473271040 22765905448 23146606208 23436624640 23508271930 23620598144 24198724672 24364848640 24576829745 24863787520 25472341760 27355080064 28019575936 28457381810 28794821120 28933257760 29525747680 30248405840 31674303232 33114044288 33273246424 34193850080 35024469920 36339381760 37613235088 39322927592 39592879040 41392555360 41591558030 42084738560 42946542080 45531810896 46293212416 46873249280 47016543860 47241196288 48397449344 49153659490 50944683520 54069025439 54710160128 56039151872 56914763620 57866515520 59051495360 60496811680 63348606464 66228088576 66546492848 68387700160 70048939840 75226470176 78645855184 79185758080 82785110720 83183116060 91063621792 92586424832 94033087720 94482392576 96794898688 98307318980 108138050878 109420320256 112078303744 113829527240 115733031040 118102990720 120993623360 132456177152 133092985696 136775400320 140097879680 150452940352 157291710368 158371516160 165570221440 166366232120 182127243584 188066175440 193589797376 196614637960 216276101756 227659054480 231466062080 236205981440 241987246720 266185971392 270345127195 273550800640 280195759360 300905880704 314583420736 316743032320 331140442880 332732464240 364254487168 376132350880 393229275920 432552203512 455318108960 462932124160 472411962880 483974493440 532371942784 540690254390 547101601280 560391518720 601811761408 629166841472 662280885760 665464928480 728508974336 752264701760 786458551840 865104407024 910636217920 967948986880 1064743885568 1081380508780 1203623522816 1258333682944 1330929856960 1457017948672 1504529403520 1572917103680 1730208814048 1821272435840 2129487771136 2162761017560 2516667365888 2661859713920 3009058807040 3145834207360 3460417628096 3642544871680 4325522035120 5323719427840 6018117614080 6291668414720 6920835256192 7285089743360 8651044070240 10647438855680 12583336829440 13841670512384 17302088140480 27683341024768 34604176280960 69208352561920 138416705123840
• Sum of all divisors σ(n): 429868106680320
• Sum of proper divisors (its aliquot sum) s(n): 291451401556480
• 138416705123840 is an abundant number, because the sum of its proper divisors (291451401556480) is greater than itself. Its abundance is 153034696432640

Bases of 138416705123840

• Binary: 11111011110001110100110100010100011011000000000₂
• Hexadecimal: 0x7DE3A68A3600
• Base-36: 1D2BR8F0U8

Squares and roots of 138416705123840

• 138416705123840 squared (138416705123840²) is 19159184257340074509736345600
• 138416705123840 cubed (138416705123840³) is 2651951157761558556521190203978997039104000
• The square root of 138416705123840 is 11765062.9035224457
• The cube root of 138416705123840 is 51728.4544099649

Scales and comparisons

• 138,416,705,123,840 seconds is equal to 4,401,223 years, 3 weeks, 5 days, 4 hours, 37 minutes, 20 seconds.
• To count from 1 to 138,416,705,123,840 would take you about eleven million, three thousand and fifty-seven 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 138416705123840 cubic inches would be around 4310.7 feet tall.

Recreational maths with 138416705123840

• 138416705123840 backwards is 048321507614831
• The number of decimal digits it has is: 15
• The sum of 138416705123840's digits is 53
• More coming soon!