138460113792
138,460,113,792 is an even composite number composed of seven prime numbers multiplied together.
138460113792 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138460113792:
27 × 32 × 72 × 11 × 13 × 17 × 1009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 13 × 17 × 1009)See below for interesting mathematical facts about the number 138460113792 from the Numbermatics database.
Names of 138460113792
- Cardinal: 138460113792 can be written as One hundred thirty-eight billion, four hundred sixty million, one hundred thirteen thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.38460113792 × 1011
Factors of 138460113792
Divisors of 138460113792
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 17 18 21 22 24 26 28 32 33 34 36 39 42 44 48 49 51 52 56 63 64 66 68 72 77 78 84 88 91 96 98 99 102 104 112 117 119 126 128 132 136 143 144 147 153 154 156 168 176 182 187 192 196 198 204 208 221 224 231 234 238 252 264 272 273 286 288 294 306 308 312 336 352 357 364 374 384 392 396 408 416 429 441 442 448 462 468 476 504 528 539 544 546 561 572 576 588 612 616 624 637 663 672 693 704 714 728 748 784 792 816 819 832 833 858 882 884 896 924 936 952 1001 1008 1009 1056 1071 1078 1088 1092 1122 1144 1152 1176 1224 1232 1248 1274 1287 1309 1326 1344 1386 1408 1428 1456 1496 1547 1568 1584 1617 1632 1638 1664 1666 1683 1716 1764 1768 1848 1872 1904 1911 1989 2002 2016 2018 2112 2142 2156 2176 2184 2244 2288 2352 2431 2448 2464 2496 2499 2548 2574 2618 2652 2688 2772 2856 2912 2992 3003 3027 3094 3136 3168 3234 3264 3276 3332 3366 3432 3528 3536 3696 3744 3808 3822 3927 3978 4004 4032 4036 4224 4284 4312 4368 4488 4576 4641 4704 4851 4862 4896 4928 4992 4998 5096 5148 5236 5304 5544 5712 5733 5824 5984 6006 6054 6188 6272 6336 6468 6528 6552 6664 6732 6864 7007 7056 7063 7072 7293 7392 7488 7497 7616 7644 7854 7956 8008 8064 8072 8568 8624 8736 8976 9009 9081 9152 9163 9282 9408 9702 9724 9792 9856 9996 10192 10296 10472 10608 10829 11088 11099 11424 11466 11648 11781 11968 12012 12108 12376 12672 12936 13104 13117 13328 13464 13728 13923 14014 14112 14126 14144 14586 14784 14976 14994 15232 15288 15708 15912 16016 16144 17017 17136 17153 17248 17472 17952 18018 18162 18304 18326 18564 18816 19404 19448 19584 19992 20384 20592 20944 21021 21189 21216 21658 21879 22176 22198 22848 22932 23562 23936 24024 24216 24752 25872 26208 26234 26656 26928 27456 27489 27846 28028 28224 28252 28288 29172 29568 29988 30576 31416 31824 32032 32288 32487 33297 34034 34272 34306 34496 34944 35904 36036 36324 36652 37128 38808 38896 39351 39984 40768 41184 41888 42042 42378 42432 43316 43758 44352 44396 45696 45864 47124 48048 48432 49441 49504 51051 51459 51744 52416 52468 53312 53856 54912 54978 55692 56056 56448 56504 58344 59976 61152 62832 63063 63567 63648 64064 64576 64974 66594 68068 68544 68612 68992 71808 72072 72648 73304 74256 77616 77693 77792 78702 79968 81536 82368 82467 83776 84084 84756 84864 86632 87516 88704 88792 91728 91819 94248 96096 96864 97461 98882 99008 99891 102102 102918 103488 104832 104936 106624 107712 109956 111384 112112 113008 116688 118053 119119 119952 120071 122304 125664 126126 127134 127296 128128 129152 129948 133188 136136 137088 137224 144144 144287 145296 146608 148323 148512 153153 154377 155232 155386 155584 157404 159936 164736 164934 167552 168168 169512 173264 175032 177584 183456 183638 188496 188683 192192 193728 194922 197764 198016 199782 204204 205836 206976 209872 215424 219912 222768 222989 224224 226016 233079 233376 236106 238238 239904 240142 244608 251328 252252 254268 254592 259896 266376 272272 274448 275457 288288 288574 290592 293216 296646 297024 306306 308754 310464 310772 311168 314808 319872 329868 336336 339024 346528 350064 355168 357357 360213 366912 367276 376992 377366 384384 387456 389844 395528 399564 408408 411672 419744 432861 439824 444969 445536 445978 448448 452032 466158 466752 472212 476476 479808 480284 502656 504504 508536 519792 532752 543851 544544 548896 550914 566049 576576 577148 581184 586432 593292 594048 612612 617508 620928 621544 629616 642733 659736 668967 672672 678048 693056 699237 700128 710336 714714 720426 733824 734552 753984 754732 779688 791056 799128 816816 823344 826371 839488 840497 865722 879648 889938 891072 891956 896896 904064 932316 933504 944424 952952 959616 960568 1009008 1010009 1017072 1039584 1065504 1072071 1080639 1087702 1089088 1097792 1101828 1132098 1153152 1154296 1162368 1172864 1186584 1225224 1235016 1243088 1259232 1285466 1298583 1319472 1320781 1337934 1345344 1356096 1386112 1398474 1400256 1420672 1429428 1440852 1469104 1507968 1509464 1559376 1560923 1582112 1598256 1631553 1633632 1646688 1652742 1678976 1680994 1698147 1731444 1759296 1779876 1782144 1783912 1864632 1888848 1905904 1921136 1928199 2006901 2018016 2020018 2034144 2079168 2131008 2144142 2161278 2175404 2178176 2195584 2203656 2264196 2308592 2373168 2450448 2452879 2470032 2486176 2518464 2521491 2570932 2597166 2638944 2641562 2675868 2690688 2712192 2796948 2800512 2858856 2881704 2938208 3018928 3030027 3118752 3121846 3164224 3196512 3263106 3267264 3293376 3305484 3361988 3396294 3462888 3518592 3559752 3567824 3729264 3777696 3811808 3842272 3856398 3962343 4013802 4036032 4040036 4068288 4158336 4262016 4288284 4322556 4350808 4407312 4528392 4617184 4682769 4746336 4894659 4900896 4905758 4940064 4972352 5036928 5042982 5141864 5194332 5277888 5283124 5351736 5593896 5717712 5763408 5784597 5876416 6037856 6060054 6237504 6243692 6328448 6393024 6526212 6534528 6586752 6610968 6723976 6792588 6925776 7070063 7119504 7135648 7358637 7458528 7555392 7564473 7623616 7684544 7712796 7924686 8027604 8072064 8080072 8136576 8576568 8645112 8701616 8814624 9056784 9090081 9234368 9245467 9365538 9492672 9789318 9801792 9811516 9880128 9944704 10085964 10283728 10388664 10555776 10566248 10703472 10926461 11187792 11435424 11526816 11569194 11752832 11887029 12075712 12120108 12475008 12487384 12786048 13052424 13221936 13447952 13585176 13851552 14048307 14140126 14239008 14271296 14717274 14917056 15110784 15128946 15247232 15369088 15425592 15849372 16055208 16160144 17153136 17170153 17290224 17403232 17629248 18113568 18180162 18468736 18490934 18731076 18985344 19578636 19603584 19623032 19760256 20171928 20567456 20777328 21132496 21210189 21406944 21852922 22075911 22375584 22870848 23053632 23138388 23774058 24151424 24240216 24974768 26104848 26443872 26895904 27170352 27703104 27736401 28096614 28280252 28478016 28542592 29434548 29834112 30257892 30851184 31698744 32110416 32320288 32779383 34306272 34340306 34580448 34806464 35258496 36227136 36360324 36981868 37462152 39157272 39246064 40343856 41134912 41554656 42264992 42420378 42813888 43705844 44151822 44751168 45741696 46107264 46276776 47548116 48480432 49949536 51510459 52209696 52887744 53791808 54340704 55406208 55472802 56193228 56560504 56956032 58869096 60515784 61702368 63397488 63630567 64220832 64640576 65558766 68612544 68680612 69160896 69612928 72454272 72720648 73963736 74924304 78314544 78492128 80687712 82269824 83109312 83209203 84529984 84840756 85627776 87411688 88303644 89502336 92553552 95096232 96960864 98338149 99899072 103020918 104419392 105775488 107583616 108681408 110945604 112386456 113121008 117738192 120191071 121031568 123404736 126794976 127261134 128441664 129281152 131117532 137225088 137361224 138321792 145441296 147927472 149848608 154531377 156629088 156984256 161375424 166218624 166418406 169059968 169681512 174823376 176607288 185107104 190192464 193921728 196676298 199798144 206041836 208838784 217362816 221891208 224772912 226242016 235476384 240382142 242063136 246809472 253589952 254522268 256883328 262235064 274722448 290882592 295854944 299697216 309062754 313258176 313968512 322750848 332836812 339363024 349646752 353214576 360573213 370214208 380384928 387843456 393352596 412083672 443782416 449545824 452484032 470952768 480764284 484126272 507179904 509044536 524470128 549444896 581765184 591709888 599394432 618125508 626516352 665673624 678726048 699293504 706429152 721146426 740428416 760769856 786705192 824167344 887564832 899091648 904968064 941905536 961528568 968252544 1018089072 1048940256 1081719639 1098889792 1163530368 1183419776 1236251016 1331347248 1357452096 1398587008 1412858304 1442292852 1521539712 1573410384 1648334688 1775129664 1798183296 1923057136 2036178144 2097880512 2163439278 2197779584 2472502032 2662694496 2714904192 2825716608 2884585704 3146820768 3296669376 3550259328 3846114272 4072356288 4195761024 4326878556 4945004064 5325388992 5769171408 6293641536 6593338752 7692228544 8144712576 8653757112 9890008128 10650777984 11538342816 12587283072 15384457088 17307514224 19780016256 23076685632 34615028448 46153371264 69230056896 138460113792
- Sum of all divisors σ(n): 577113919200
- Sum of proper divisors (its aliquot sum) s(n): 438653805408
- 138460113792 is an abundant number, because the sum of its proper divisors (438653805408) is greater than itself. Its abundance is 300193691616
Bases of 138460113792
- Binary: 100000001111001101110110101011100000002
- Hexadecimal: 0x203CDDAB80
- Base-36: 1RLVKRK0
Squares and roots of 138460113792
- 138460113792 squared (1384601137922) is 19171203111293588619264
- 138460113792 cubed (1384601137923) is 2654446964319254720543329603289088
-
The
square root of 138460113792 is 372102.2894205303 -
The
cube root of 138460113792 is 5173.3861340721
Scales and comparisons
How big is 138460113792?- 138,460,113,792 seconds is equal to 4,402 years, 31 weeks, 2 days, 14 hours, 43 minutes, 12 seconds.
-
To count from 1 to 138,460,113,792 would take you about eight thousand, eight hundred five 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 138460113792 cubic inches would be around 431.1 feet tall.
Recreational maths with 138460113792
- 138460113792 backwards is 297311064831
- The number of decimal digits it has is: 12
- The sum of 138460113792's digits is 45
- More coming soon!
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The information we have on file for 138460113792 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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