138913421613120

Names of 138913421613120

• Cardinal: 138913421613120 can be written as One hundred thirty-eight trillion, nine hundred thirteen billion, four hundred twenty-one million, six hundred thirteen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3891342161312 × 10¹⁴

Factors of 138913421613120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 157794

Divisors of 138913421613120

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 21 22 24 28 30 32 33 35 36 38 40 42 44 45 48 55 56 57 60 63 64 66 70 72 76 77 80 84 88 90 95 96 99 105 110 112 114 120 121 126 132 133 140 144 152 154 160 165 168 171 176 180 190 192 198 209 210 220 224 228 231 240 242 252 264 266 280 285 288 304 308 315 320 330 336 342 352 360 361 363 380 385 396 399 418 420 440 448 456 462 480 484 495 504 528 532 560 570 576 605 608 616 627 630 660 665 672 684 693 704 720 722 726 760 770 792 798 836 840 847 855 880 912 924 960 968 990 1008 1045 1056 1064 1083 1089 1120 1140 1155 1197 1210 1216 1232 1254 1260 1320 1330 1344 1368 1386 1440 1444 1452 1463 1520 1540 1584 1596 1672 1680 1694 1710 1760 1805 1815 1824 1848 1881 1936 1980 1995 2016 2090 2112 2128 2166 2178 2240 2280 2299 2310 2394 2420 2464 2508 2520 2527 2541 2640 2660 2736 2772 2880 2888 2904 2926 3040 3080 3135 3168 3192 3249 3344 3360 3388 3420 3465 3520 3610 3630 3648 3696 3762 3872 3960 3971 3990 4032 4180 4235 4256 4332 4356 4389 4560 4598 4620 4788 4840 4928 5016 5040 5054 5082 5280 5320 5415 5445 5472 5544 5776 5808 5852 5985 6080 6160 6270 6336 6384 6498 6688 6720 6776 6840 6897 6930 7220 7260 7315 7392 7524 7581 7623 7744 7920 7942 7980 8360 8470 8512 8664 8712 8778 9120 9196 9240 9405 9576 9680 10032 10080 10108 10164 10560 10640 10830 10890 10944 11088 11495 11552 11616 11704 11913 11970 12320 12540 12635 12705 12768 12996 13167 13376 13552 13680 13794 13860 14440 14520 14630 14784 15048 15162 15246 15840 15884 15960 16093 16245 16720 16940 17328 17424 17556 18240 18392 18480 18810 19152 19360 19855 20064 20160 20216 20328 20691 21280 21660 21780 21945 22176 22743 22990 23104 23232 23408 23826 23940 24640 25080 25270 25410 25536 25992 26334 27104 27360 27588 27720 27797 28880 29040 29260 30096 30324 30492 31680 31768 31920 32186 32490 33440 33880 34485 34656 34848 35112 35739 36784 36960 37620 37905 38115 38304 38720 39710 40128 40432 40656 41382 42560 43320 43560 43681 43890 44352 45486 45980 46816 47652 47880 48279 50160 50540 50820 51984 52668 54208 54720 55176 55440 55594 57760 58080 58520 59565 60192 60648 60984 63536 63840 64372 64980 65835 66880 67760 68970 69312 69696 70224 71478 73568 73920 75240 75810 76230 76608 79420 80465 80864 81312 82764 83391 86640 87120 87362 87780 90972 91960 93632 95304 95760 96558 100320 101080 101640 103455 103968 105336 110352 110880 111188 113715 115520 116160 117040 119130 120384 121296 121968 127072 127680 128744 129960 131043 131670 135520 137940 138985 140448 142956 144837 147136 150480 151620 152460 157747 158840 160930 161728 162624 165528 166782 173280 174240 174724 175560 178695 181944 183920 190608 191520 193116 200640 202160 203280 206910 207936 210672 218405 220704 221760 222376 227430 234080 238260 241395 242592 243936 250173 254144 257488 259920 262086 263340 271040 275880 277970 280896 285912 289674 300960 303240 304920 305767 315494 317680 321860 331056 333564 346560 348480 349448 351120 357390 363888 367840 381216 383040 386232 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731123271648 771741231184 789280804620 812359190720 826865604840 841899524928 868208885082 902035205280 913904089560 964676538980 992238725808 1044461816640 1052374406160 1102487473120 1148044806720 1157611846776 1218538786080 1240298407260 1262849287392 1322984967744 1403165874880 1447014808470 1462246543296 1543482462368 1578561609240 1653731209680 1736417770164 1804070410560 1827808179120 1929353077960 1984477451616 2104748812320 2170522212705 2204974946240 2315223693552 2437077572160 2480596814520 2525698574784 2894029616940 3086964924736 3157123218480 3307462419360 3472835540328 3655616358240 3858706155920 3968954903232 4209497624640 4341044425410 4630447387104 4961193629040 5788059233880 6314246436960 6614924838720 6945671080656 7311232716480 7717412311840 8682088850820 9260894774208 9922387258080 11576118467760 12628492873920 13891342161312 15434824623680 17364177701640 19844774516160 23152236935520 27782684322624 34728355403280 46304473871040 69456710806560 138913421613120
• Sum of all divisors σ(n): 633473991888192
• Sum of proper divisors (its aliquot sum) s(n): 494560570275072
• 138913421613120 is an abundant number, because the sum of its proper divisors (494560570275072) is greater than itself. Its abundance is 355647148661952

Bases of 138913421613120

• Binary: 11111100101011101001101001001100101100001000000₂
• Hexadecimal: 0x7E574D265840
• Base-36: 1D8NY0L8W0

Squares and roots of 138913421613120

• 138913421613120 squared (138913421613120²) is 19296938704264434742956134400
• 138913421613120 cubed (138913421613120³) is 2680603782068018977133902512041047523328000
• The square root of 138913421613120 is 11786153.8091575915
• The cube root of 138913421613120 is 51790.2574081797

Scales and comparisons

• 138,913,421,613,120 seconds is equal to 4,417,017 years, 6 weeks, 1 day, 15 hours, 12 minutes.
• To count from 1 to 138,913,421,613,120 would take you about eleven million, forty-two thousand, five hundred forty-two 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 138913421613120 cubic inches would be around 4315.9 feet tall.

Recreational maths with 138913421613120

• 138913421613120 backwards is 021316124319831
• 138913421613120 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138913421613120's digits is 45
• More coming soon!