138517207920

Names of 138517207920

• Cardinal: 138517207920 can be written as One hundred thirty-eight billion, five hundred seventeen million, two hundred seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3851720792 × 10¹¹

Factors of 138517207920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2162

Divisors of 138517207920

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 39 40 42 45 48 52 54 56 60 63 65 70 72 78 80 84 90 91 104 105 108 112 117 120 126 130 135 140 144 156 168 180 182 189 195 208 210 216 234 240 252 260 270 273 280 312 315 336 351 360 364 378 390 409 420 432 455 468 504 520 540 546 560 585 624 630 702 720 728 756 780 818 819 840 910 936 945 1008 1040 1080 1092 1170 1227 1260 1365 1404 1456 1512 1560 1636 1638 1680 1723 1755 1820 1872 1890 2045 2160 2184 2340 2454 2457 2520 2730 2808 2863 3024 3120 3272 3276 3446 3510 3640 3681 3780 4090 4095 4368 4680 4908 4914 5040 5169 5317 5460 5616 5726 6135 6544 6552 6892 7020 7280 7362 7560 8180 8190 8589 8615 9360 9816 9828 10338 10634 10920 11043 11452 12061 12270 12285 13104 13784 14040 14315 14724 15120 15507 15951 16360 16380 17178 17230 18405 19632 19656 20676 21268 21840 22086 22399 22904 24122 24540 24570 25767 25845 26585 27568 28080 28630 29448 31014 31902 32720 32760 34356 34460 36183 36810 37219 39312 41352 42536 42945 44172 44798 45808 46521 47853 48244 49080 49140 51534 51690 53170 55215 57260 58896 60305 62028 63804 65520 67197 68712 68920 72366 73620 74438 77301 77535 79755 82704 85072 85890 88344 89596 93042 95706 96488 98160 98280 103068 103380 106340 108549 110430 111657 111995 114520 120610 124056 127608 128835 134394 137424 137840 143559 144732 147240 148876 154602 155070 156793 159510 171780 176688 179192 180915 186084 186095 191412 192976 196560 201591 206136 206760 212680 217098 220860 223314 223990 229040 232605 239265 241220 248112 255216 257670 268788 287118 289464 294480 297752 309204 310140 313586 319020 325647 334971 335985 343560 358384 361830 372168 372190 382824 386505 403182 412272 413520 425360 434196 441720 446628 447980 465210 470379 478530 482440 515340 537576 542745 558285 574236 578928 595504 604773 618408 620280 627172 638040 651294 669942 671970 687120 704707 717795 723660 744336 744380 765648 773010 783965 806364 868392 883440 893256 895960 930420 940758 957060 964880 1004913 1007955 1030680 1075152 1085490 1116570 1148472 1209546 1236816 1240560 1254344 1276080 1302588 1339884 1343940 1409414 1411137 1435590 1447320 1488760 1546020 1567930 1612728 1628235 1674855 1736784 1786512 1791920 1860840 1881516 1914120 2009826 2015910 2061360 2114121 2170980 2233140 2296944 2351895 2419092 2508688 2605176 2679768 2687880 2818828 2822274 2871180 2894640 2977520 3023865 3092040 3135860 3225456 3256470 3349710 3523535 3721680 3763032 3828240 4019652 4031820 4228242 4233411 4341960 4466280 4703790 4838184 4932949 5024565 5210352 5359536 5375760 5637656 5644548 5742360 6047730 6184080 6271720 6342363 6512940 6699420 7047070 7055685 7526064 8039304 8063640 8456484 8466822 8683920 8932560 9161191 9407580 9676368 9865898 10049130 10570605 11275312 11289096 11484720 12095460 12543440 12684726 13025880 13398840 14094140 14111370 14798847 16078608 16127280 16912968 16933644 18322382 18815160 19027089 19731796 20098260 21141210 21167055 22578192 24190920 24664745 25369452 26051760 26797680 27483573 28188280 28222740 29597694 31711815 33825936 33867288 36644764 37630320 38054178 39463592 40196520 42282420 42334110 44396541 45805955 48381840 49329490 50738904 54967146 56376560 56445480 59195388 63423630 64128337 67734576 73289528 73994235 76108356 78927184 80393040 82450719 84564840 84668220 88793082 91611910 95135445 98658980 101477808 109934292 112890960 118390776 126847260 128256674 133189623 137417865 146579056 147988470 152216712 164901438 169129680 169336440 177586164 183223820 190270890 192385011 197317960 219868584 221982705 236781552 247352157 253694520 256513348 266379246 274835730 295976940 304433424 320641685 329802876 338672880 355172328 366447640 380541780 384770022 394635920 412253595 439737168 443965410 494704314 507389040 513026696 532758492 549671460 577155033 591953880 641283370 659605752 665948115 710344656 732895280 761083560 769540044 824507190 887930820 961925055 989408628 1026053392 1065516984 1099342920 1154310066 1183907760 1236760785 1282566740 1319211504 1331896230 1522167120 1539080088 1649014380 1731465099 1775861640 1923850110 1978817256 2131033968 2198685840 2308620132 2473521570 2565133480 2663792460 2885775165 3078160176 3298028760 3462930198 3551723280 3847700220 3957634512 4617240264 4947043140 5130266960 5327584920 5771550330 6596057520 6925860396 7695400440 8657325495 9234480528 9894086280 10655169840 11543100660 13851720792 15390800880 17314650990 19788172560 23086201320 27703441584 34629301980 46172402640 69258603960 138517207920
• Sum of all divisors σ(n): 588995635200
• Sum of proper divisors (its aliquot sum) s(n): 450478427280
• 138517207920 is an abundant number, because the sum of its proper divisors (450478427280) is greater than itself. Its abundance is 311961219360

Bases of 138517207920

• Binary: 10000001000000010001001101101101110000₂
• Hexadecimal: 0x204044DB70
• Base-36: 1RMTKHO0

Squares and roots of 138517207920

• 138517207920 squared (138517207920²) is 19187016889952510726400
• 138517207920 cubed (138517207920³) is 2657732007910103687214779033088000
• The square root of 138517207920 is 372178.9998374439
• The cube root of 138517207920 is 5174.0971195265

Scales and comparisons

• 138,517,207,920 seconds is equal to 4,404 years, 21 weeks, 5 days, 10 hours, 12 minutes.
• To count from 1 to 138,517,207,920 would take you about eight thousand, eight hundred eight 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 138517207920 cubic inches would be around 431.2 feet tall.

Recreational maths with 138517207920

• 138517207920 backwards is 029702715831
• 138517207920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138517207920's digits is 45
• More coming soon!