137883970224

Names of 137883970224

• Cardinal: 137883970224 can be written as One hundred thirty-seven billion, eight hundred eighty-three million, nine hundred seventy thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.37883970224 × 10¹¹

Factors of 137883970224

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 178

Divisors of 137883970224

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 33 36 39 41 42 44 48 49 52 54 56 63 66 72 77 78 82 84 88 91 98 99 101 104 108 112 117 121 123 126 132 143 144 147 154 156 164 168 176 182 189 196 198 202 208 216 231 234 242 246 252 264 273 286 287 294 297 303 308 312 328 336 351 363 364 369 378 392 396 404 429 432 441 451 462 468 484 492 504 528 533 539 546 572 574 588 594 606 616 624 637 656 693 702 707 726 728 738 756 784 792 808 819 847 858 861 882 902 909 924 936 968 984 1001 1008 1066 1078 1089 1092 1107 1111 1144 1148 1176 1188 1212 1232 1274 1287 1313 1323 1353 1386 1404 1414 1452 1456 1476 1512 1573 1584 1599 1616 1617 1638 1694 1716 1722 1764 1804 1818 1848 1872 1911 1936 1968 2002 2009 2079 2121 2132 2156 2178 2184 2214 2222 2288 2296 2352 2376 2424 2457 2541 2548 2574 2583 2626 2646 2706 2727 2772 2808 2828 2904 2952 3003 3024 3146 3157 3198 3234 3267 3276 3333 3388 3432 3444 3528 3608 3636 3696 3731 3822 3861 3939 4004 4018 4059 4141 4158 4242 4264 4312 4356 4368 4428 4444 4592 4719 4752 4797 4848 4851 4914 4949 4961 5082 5096 5148 5166 5252 5292 5412 5454 5544 5616 5656 5733 5808 5863 5904 5929 6006 6027 6292 6314 6363 6396 6468 6534 6552 6666 6776 6864 6888 7007 7056 7216 7272 7462 7623 7644 7722 7749 7777 7878 8008 8036 8118 8282 8316 8484 8528 8624 8712 8856 8888 9009 9191 9438 9471 9594 9702 9828 9898 9922 9999 10164 10192 10296 10332 10504 10584 10824 10908 11011 11088 11193 11312 11466 11726 11817 11858 12012 12054 12177 12221 12423 12584 12628 12726 12792 12936 13068 13104 13332 13552 13776 14014 14157 14391 14443 14544 14553 14847 14883 14924 15246 15288 15444 15498 15554 15756 16016 16072 16236 16564 16632 16968 17199 17424 17589 17712 17776 17787 18018 18081 18382 18876 18942 19089 19188 19404 19656 19796 19844 19998 20328 20592 20664 21008 21021 21168 21648 21816 22022 22099 22386 22869 22932 23331 23452 23634 23716 24024 24108 24354 24442 24846 25168 25256 25452 25584 25872 26117 26136 26664 27027 27573 28028 28314 28413 28782 28886 28987 29106 29694 29766 29848 29997 30492 30576 30888 30996 31108 31512 32144 32472 33033 33128 33264 33579 33936 34398 34727 35178 35451 35574 36036 36162 36663 36764 37269 37752 37884 38178 38376 38808 39312 39592 39688 39996 40656 41041 41328 42042 42471 43329 43632 44044 44198 44541 44649 44772 45551 45738 45864 46662 46904 47268 47432 48048 48216 48708 48884 49692 50512 50904 52234 52272 52767 53328 53361 53833 54054 54243 54439 55146 56056 56628 56826 57564 57772 57974 58212 59388 59532 59696 59994 60984 61776 61992 62216 63024 63063 64337 64493 64944 66066 66256 66297 67158 68796 69454 69993 70356 70902 71148 72072 72324 73326 73528 74538 75504 75768 76356 76752 77077 77616 78351 79184 79376 79992 82082 82719 84084 84942 85239 85547 86658 86961 88088 88396 89082 89298 89544 91102 91476 91728 93324 93808 94536 94864 96432 97416 97768 99099 99384 100737 101101 101808 104181 104468 105534 106722 107666 108108 108486 108878 109989 110292 111807 112112 113256 113652 115128 115544 115948 116424 118776 119064 119988 121968 123123 123984 124432 126126 128674 128986 129987 132132 132594 133623 133947 134316 136653 137592 138908 139986 140712 141804 142296 144144 144648 146652 147056 149076 151536 152712 154154 156702 158301 158873 159984 160083 161499 163317 164164 165438 168168 169884 170478 171094 173316 173922 176176 176792 178164 178596 179088 182204 182952 186648 189072 189189 193011 193479 194832 195536 198198 198768 198891 201474 202202 202909 208362 208936 209979 211068 213444 215332 216216 216972 217756 219978 220584 223614 226512 227304 230256 231088 231231 231896 232848 235053 237552 238128 239976 243089 246246 248157 252252 256641 257348 257972 259974 260883 264264 265188 267246 267894 268632 273306 275184 277816 279972 281424 283608 284592 287287 289296 293304 297297 298152 303303 305424 308308 312543 313404 316602 317746 318857 320166 322998 326634 328328 329967 330876 336336 339768 340956 342188 346632 347844 353584 356328 357192 364408 365904 369369 373296 376831 378378 386022 386958 389961 396396 397782 402948 404404 405818 409959 416724 417872 419958 422136 426888 430664 432432 433944 435512 439956 441168 447228 451451 454608 462462 463792 470106 476619 479952 484497 486178 489951 492492 496314 501061 504504 513282 514696 515944 519948 521766 528528 530376 534492 535788 537264 546612 555632 559944 567216 574574 579033 580437 586608 592163 594594 596304 596673 598829 606606 608727 616616 625086 626808 633204 635492 637714 640332 645996 653268 656656 659934 661752 679536 681912 684376 693264 693693 695688 705159 707707 712656 714384 728816 729267 738738 753662 756756 769923 772044 773916 779922 782649 792792 795564 805896 808808 811636 819918 833448 839916 844272 853776 861328 861861 867888 871024 879912 894456 902902 909909 924924 937629 940212 953238 956571 968994 972356 979902 984984 992628 1002122 1009008 1026564 1029392 1031888 1039896 1043532 1060752 1068984 1071576 1093224 1108107 1112111 1119888 1130493 1149148 1158066 1160874 1184326 1189188 1193346 1197658 1213212 1217454 1229877 1233232 1250172 1253616 1266408 1270984 1275428 1280664 1291992 1306536 1319868 1323504 1354353 1363824 1368752 1387386 1391376 1410318 1415414 1429857 1453491 1458534 1469853 1477476 1503183 1507324 1513512 1539846 1544088 1547832 1559844 1565298 1585584 1591128 1611792 1617616 1623272 1639836 1666896 1679832 1723722 1737099 1741311 1759824 1776489 1788912 1796487 1805804 1819818 1826181 1849848 1875258 1880424 1906476 1913142 1937988 1944712 1959804 1969968 1985256 2004244 2053128 2079792 2081079 2087064 2123121 2137968 2143152 2186448 2187801 2216214 2224222 2231999 2260986 2298296 2309769 2316132 2321748 2368652 2378376 2386692 2395316 2426424 2434908 2459754 2500344 2532816 2541968 2550856 2561328 2583984 2585583 2613072 2637817 2639736 2708706 2729727 2774772 2820636 2830828 2859714 2869713 2906982 2917068 2939706 2954952 3006366 3014648 3027024 3079692 3088176 3095664 3119688 3130596 3160157 3182256 3246544 3279672 3336333 3359664 3391479 3447444 3474198 3482622 3507427 3552978 3592974 3611608 3639636 3652362 3699696 3750516 3760848 3812952 3826284 3875976 3889424 3919608 3970512 4008488 4063059 4106256 4145141 4162158 4174128 4246242 4289571 4375602 4432428 4448444 4463998 4509549 4521972 4596592 4619538 4632264 4643496 4737304 4756752 4773384 4790632 4852848 4869816 4919508 5000688 5101712 5171166 5275634 5279472 5329467 5389461 5417412 5459454 5478543 5549544 5641272 5661656 5719428 5739426 5813964 5834136 5879412 5909904 6012732 6029296 6159384 6239376 6261192 6320314 6369363 6513793 6559344 6563403 6672666 6695997 6782958 6894888 6948396 6965244 7014854 7105956 7185948 7223216 7279272 7304724 7501032 7625904 7652568 7751952 7756749 7784777 7839216 7913451 8016976 8126118 8290282 8324316 8492484 8579142 8609139 8751204 8864856 8896888 8927996 9019098 9043944 9239076 9264528 9286992 9474608 9480471 9546768 9581264 9739632 9839016 10008999 10174437 10342332 10522281 10551268 10658934 10778922 10834824 10918908 10957086 11099088 11282544 11323312 11438856 11478852 11627928 11668272 11758824 12025464 12189177 12318768 12435423 12522384 12640628 12738726 13027586 13126806 13345332 13391994 13528647 13565916 13789776 13896792 13930488 14029708 14211912 14371896 14558544 14609448 15002064 15305136 15513498 15569554 15826902 15988401 16168383 16252236 16580564 16648632 16984968 17158284 17218278 17502408 17729712 17793776 17855992 18038196 18087888 18478152 18960942 19108089 19541379 19678032 20017998 20087991 20348874 20684664 21044562 21102536 21317868 21557844 21669648 21837816 21914172 22877712 22957704 23255856 23354331 23517648 23740353 24050928 24378354 24551989 24870846 25281256 25477452 26055172 26253612 26690664 26783988 27057294 27131832 27793584 27860976 28059416 28423824 28441413 28743792 29015987 29218896 30026997 31026996 31139108 31566843 31653804 31976802 32336766 32504472 33161128 33297264 33969936 34316568 34436556 35004816 35711984 36076392 36956304 37306269 37921884 38216178 39082758 40035996 40175982 40697748 41369328 42089124 42205072 42635736 43115688 43675632 43828344 45596551 45915408 46708662 47480706 48756708 49103978 49741692 50562512 50954904 52110344 52507224 53381328 53567976 54114588 54263664 56118832 56882826 58031974 58624137 60053994 60263973 62053992 62278216 63133686 63307608 63953604 64673532 65008944 66322256 68633136 68873112 70062993 71221059 72152784 73655967 74612538 75843768 76432356 78165516 80071992 80351964 81395496 84178248 85271472 85324239 86231376 87047961 87656688 91193102 93417324 94700529 94961412 97513416 98207956 99483384 101909808 104220688 105014448 107135952 108229176 111918807 113765652 116063948 117248274 120107988 120527946 124107984 124556432 126267372 126615216 127907208 129347064 136789653 137746224 140125986 142442118 147311934 149225076 151687536 152864712 156331032 160143984 160703928 162790992 168356496 170648478 174095922 175872411 182386204 186834648 189401058 189922824 195026832 196415912 198966768 210188979 216458352 220967901 223837614 227531304 232127896 234496548 240215976 241055892 252534744 255814416 258694128 261143883 273579306 280251972 284884236 294623868 298450152 305729424 312662064 319175857 321407856 341296956 348191844 351744822 364772408 373669296 378802116 379845648 392831824 410368959 420377958 441935802 447675228 455062608 464255792 468993096 480431952 482111784 505069488 522287766 547158612 560503944 569768472 589247736 596900304 638351714 662903703 682593912 696383688 703489644 729544816 757604232 783431649 820737918 840755916 883871604 895350456 937986192 957527571 964223568 1044575532 1094317224 1121007888 1139536944 1178495472 1231106877 1276703428 1325807406 1365187824 1392767376 1406979288 1515208464 1566863298 1641475836 1681511832 1767743208 1790700912 1915055142 2089151064 2188634448 2462213754 2553406856 2651614812 2813958576 2872582713 3133726596 3282951672 3363023664 3535486416 3830110284 4178302128 4924427508 5106813712 5303229624 5745165426 6267453192 6565903344 7660220568 8617748139 9848855016 10606459248 11490330852 12534906384 15320441136 17235496278 19697710032 22980661704 34470992556 45961323408 68941985112 137883970224
• Sum of all divisors σ(n): 563800789440
• Sum of proper divisors (its aliquot sum) s(n): 425916819216
• 137883970224 is an abundant number, because the sum of its proper divisors (425916819216) is greater than itself. Its abundance is 288032848992

Bases of 137883970224

• Binary: 10000000011010100001100110101010110000₂
• Hexadecimal: 0x201A866AB0
• Base-36: 1RCCK0C0

Squares and roots of 137883970224

• 137883970224 squared (137883970224²) is 19011989244732918610176
• 137883970224 cubed (137883970224³) is 2621448558919761998478123047399424
• The square root of 137883970224 is 371327.3087506493
• The cube root of 137883970224 is 5166.2005342209

Scales and comparisons

• 137,883,970,224 seconds is equal to 4,384 years, 14 weeks, 5 days, 6 hours, 50 minutes, 24 seconds.
• To count from 1 to 137,883,970,224 would take you about eight thousand, seven hundred sixty-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 137883970224 cubic inches would be around 430.5 feet tall.

Recreational maths with 137883970224

• 137883970224 backwards is 422079388731
• 137883970224 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137883970224's digits is 54
• More coming soon!