138753028960

Names of 138753028960

• Cardinal: 138753028960 can be written as One hundred thirty-eight billion, seven hundred fifty-three million, twenty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.3875302896 × 10¹¹

Factors of 138753028960

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 182

Divisors of 138753028960

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 17 20 26 28 31 32 34 35 40 52 56 62 65 68 70 80 85 91 104 107 112 119 124 130 136 140 155 160 169 170 182 208 214 217 221 224 238 248 260 272 280 310 338 340 364 403 416 428 434 442 455 476 496 520 527 535 544 560 595 620 676 680 728 749 806 845 856 868 884 910 952 992 1040 1054 1070 1085 1105 1120 1183 1190 1240 1352 1360 1391 1456 1498 1547 1612 1690 1712 1736 1768 1819 1820 1904 2015 2080 2108 2140 2170 2197 2210 2366 2380 2480 2635 2704 2720 2782 2821 2873 2912 2996 3094 3224 3317 3380 3424 3472 3536 3638 3640 3689 3745 3808 4030 4216 4280 4340 4394 4420 4732 4760 4960 5239 5270 5408 5564 5642 5746 5915 5992 6188 6448 6634 6760 6851 6944 6955 7072 7276 7280 7378 7490 7735 8060 8432 8560 8680 8788 8840 9095 9464 9520 9737 10478 10540 10985 11128 11284 11492 11830 11984 12376 12733 12896 13268 13520 13702 13910 14105 14365 14552 14560 14756 14980 15379 15470 16120 16585 16864 17120 17360 17576 17680 18083 18190 18445 18928 19040 19474 20111 20956 21080 21970 22256 22568 22984 23219 23647 23660 23968 24752 25466 26195 26536 27040 27404 27820 28210 28730 29104 29512 29960 30758 30940 32240 33170 34255 34720 35152 35360 36166 36380 36673 36890 37349 37856 38948 40222 41912 42160 43121 43940 44512 45136 45968 46438 47294 47320 47957 48685 49504 50932 52390 53072 54808 55640 56389 56420 57460 58208 59024 59920 61516 61880 63665 64480 66340 68107 68510 70304 72332 72760 73346 73780 74698 76895 77896 80444 83824 84320 86242 87880 89063 90272 90415 91936 92876 94588 94640 95914 97370 100555 101864 104780 106144 109616 111280 112778 112840 114920 116095 118048 118235 119840 123032 123760 126581 127330 132680 136214 137020 144664 145520 146692 147560 149396 153790 155792 160888 165529 167648 172484 175760 178126 180830 183365 185752 186745 189176 189280 191828 194740 201110 203728 209560 215605 219232 222560 225556 225680 229840 232190 235079 236470 239785 246064 247520 253162 254660 261443 265360 272428 274040 281945 289328 291040 293384 295120 298792 301847 307411 307580 311584 321776 331058 340535 344968 351520 356252 361660 366730 371504 373490 378352 383656 389480 394723 402220 407456 419120 431210 445315 451112 451360 459680 464380 470158 472940 476749 479570 492128 506324 509320 522886 530720 544856 548080 560573 563890 578656 586768 590240 597584 603694 614822 615160 623441 632905 643552 662116 681070 689936 712504 723320 733057 733460 743008 746980 756704 767312 778960 789446 804440 827645 838240 862420 890630 902224 928760 940316 945880 953498 959140 1012648 1018640 1045772 1089712 1096160 1121146 1127780 1157819 1173536 1175395 1195168 1207388 1229644 1230320 1246882 1265810 1307215 1324232 1362140 1379872 1425008 1446640 1466114 1466920 1493960 1509235 1534624 1537055 1557920 1578892 1608880 1645553 1655290 1724840 1781260 1804448 1857520 1880632 1891760 1906996 1918280 1973615 2025296 2037280 2091544 2151877 2179424 2242292 2255560 2315638 2350790 2383745 2414776 2459288 2460640 2493764 2531620 2614430 2648464 2724280 2802865 2850016 2893280 2932228 2933840 2987920 3018470 3074110 3117205 3157784 3217760 3291106 3310580 3449680 3562520 3665285 3715040 3761264 3783520 3813992 3836560 3924011 3947230 3996343 4050592 4183088 4303754 4484584 4511120 4631276 4701580 4767490 4829552 4918576 4987528 5063240 5131399 5228860 5296928 5448560 5605730 5789095 5864456 5867680 5975840 6036940 6148220 6234410 6315568 6582212 6621160 6899360 7125040 7287449 7330570 7522528 7627984 7673120 7848022 7894460 7992686 8104733 8227765 8366176 8607508 8969168 9022240 9262552 9403160 9529741 9534980 9659104 9837152 9975056 10126480 10262798 10457720 10759385 10897120 11211460 11578190 11728912 12073880 12296440 12468820 12631136 13164424 13242320 14250080 14574898 14661140 15255968 15696044 15788920 15985372 16209466 16455530 17215016 17938336 18525104 18806320 19059482 19069960 19620055 19950112 19981715 20252960 20525596 20915440 21518770 22422920 23156380 23457824 24147760 24592880 24937640 25656995 26328848 26484640 27974401 29149796 29322280 31392088 31577840 31970744 32418932 32911060 34430032 36437245 37050208 37612640 38118964 38139920 39240110 39963430 40523665 41051192 41830880 43037540 44845840 46312760 47648705 48295520 49185760 49875280 51012143 51313990 52657696 55948802 58299592 58644560 62784176 63155680 63941488 64837864 65822120 66708187 68860064 72874490 76237928 76279840 78480220 79926860 81047330 82102384 86075080 89691680 92625520 95297410 99750560 102024286 102627980 111897604 116599184 117289120 123886633 125568352 127882976 129675728 131644240 133416374 139872005 145748980 152475856 156960440 159853720 162094660 164204768 172150160 185251040 190594820 204048572 205255960 223795208 233198368 247773266 255060715 259351456 263288480 266832748 279744010 291497960 304951712 313920880 319707440 324189320 333540935 344300320 381189640 408097144 410511920 447590416 495546532 510121430 533665496 559488020 582995920 619433165 627841760 639414880 648378640 667081870 762379280 816194288 821023840 867206431 895180832 991093064 1020242860 1067330992 1118976040 1165991840 1238866330 1296757280 1334163740 1524758560 1632388576 1734412862 1982186128 2040485720 2134661984 2237952080 2477732660 2668327480 3468825724 3964372256 4080971440 4336032155 4475904160 4955465320 5336654960 6937651448 8161942880 8672064310 9910930640 10673309920 13875302896 17344128620 19821861280 27750605792 34688257240 69376514480 138753028960
• Sum of all divisors σ(n): 447718440960
• Sum of proper divisors (its aliquot sum) s(n): 308965412000
• 138753028960 is an abundant number, because the sum of its proper divisors (308965412000) is greater than itself. Its abundance is 170212383040

Bases of 138753028960

• Binary: 10000001001110010100110011001101100000₂
• Hexadecimal: 0x204E533360
• Base-36: 1RQPYYCG

Squares and roots of 138753028960

• 138753028960 squared (138753028960²) is 19252403045574598681600
• 138753028960 cubed (138753028960³) is 2671329237332204490708422619136000
• The square root of 138753028960 is 372495.6764312843
• The cube root of 138753028960 is 5177.0316988185

Scales and comparisons

• 138,753,028,960 seconds is equal to 4,411 years, 47 weeks, 4 days, 20 hours, 2 minutes, 40 seconds.
• To count from 1 to 138,753,028,960 would take you about eight thousand, eight hundred twenty-three 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 138753028960 cubic inches would be around 431.4 feet tall.

Recreational maths with 138753028960

• 138753028960 backwards is 069820357831
• 138753028960 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138753028960's digits is 52
• More coming soon!