138375631680
138,375,631,680 is an even composite number composed of seven prime numbers multiplied together.
138375631680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138375631680:
26 × 3 × 5 × 11 × 132 × 17 × 4561
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 13 × 17 × 4561)See below for interesting mathematical facts about the number 138375631680 from the Numbermatics database.
Names of 138375631680
- Cardinal: 138375631680 can be written as One hundred thirty-eight billion, three hundred seventy-five million, six hundred thirty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3837563168 × 1011
Factors of 138375631680
Divisors of 138375631680
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22 24 26 30 32 33 34 39 40 44 48 51 52 55 60 64 65 66 68 78 80 85 88 96 102 104 110 120 130 132 136 143 156 160 165 169 170 176 187 192 195 204 208 220 221 240 255 260 264 272 286 312 320 330 338 340 352 374 390 408 416 429 440 442 480 507 510 520 528 544 561 572 624 660 663 676 680 704 715 748 780 816 832 845 858 880 884 935 960 1014 1020 1040 1056 1088 1105 1122 1144 1248 1320 1326 1352 1360 1430 1496 1560 1632 1690 1716 1760 1768 1859 1870 2028 2040 2080 2112 2145 2210 2244 2288 2431 2496 2535 2640 2652 2704 2720 2805 2860 2873 2992 3120 3264 3315 3380 3432 3520 3536 3718 3740 4056 4080 4160 4290 4420 4488 4561 4576 4862 5070 5280 5304 5408 5440 5577 5610 5720 5746 5984 6240 6630 6760 6864 7072 7293 7436 7480 8112 8160 8580 8619 8840 8976 9122 9152 9295 9724 10140 10560 10608 10816 11154 11220 11440 11492 11968 12155 12480 13260 13520 13683 13728 14144 14365 14586 14872 14960 16224 16320 17160 17238 17680 17952 18244 18590 19448 20280 21216 22308 22440 22805 22880 22984 24310 26520 27040 27366 27456 27885 28730 29172 29744 29920 31603 32448 34320 34476 35360 35904 36465 36488 37180 38896 40560 42432 43095 44616 44880 45610 45760 45968 48620 50171 53040 54080 54732 55770 57460 58344 59293 59488 59840 63206 68415 68640 68952 70720 72930 72976 74360 77537 77792 81120 86190 89232 89760 91220 91936 94809 97240 100342 106080 109464 111540 114920 116688 118586 118976 126412 136830 137280 137904 145860 145952 148720 150513 155074 155584 158015 162240 172380 177879 178464 179520 182440 183872 189618 194480 200684 212160 218928 223080 229840 232611 233376 237172 250855 252824 273660 275808 291720 291904 296465 297440 301026 310148 316030 344760 355758 356928 364880 379236 387685 388960 401368 437856 446160 459680 465222 466752 474045 474344 501710 505648 547320 551616 583440 592930 594880 602052 620296 632060 652223 689520 711516 729760 752565 758472 770809 775370 777920 802736 852907 875712 889395 892320 919360 930444 948090 948688 1003420 1007981 1011296 1094640 1163055 1166880 1185860 1204104 1240592 1264120 1304446 1379040 1423032 1459520 1505130 1516944 1541618 1550740 1605472 1705814 1778790 1784640 1860888 1896180 1897376 1956669 2006840 2015962 2022592 2189280 2312427 2326110 2333760 2371720 2408208 2481184 2528240 2558721 2608892 2758080 2846064 3010260 3023943 3033888 3083236 3101480 3210944 3261115 3411628 3557580 3721776 3792360 3794752 3854045 3913338 4013680 4031924 4264535 4378560 4624854 4652220 4743440 4816416 4962368 5039905 5056480 5117442 5217784 5692128 6020520 6047886 6067776 6166472 6202960 6522230 6823256 7115160 7443552 7584720 7708090 7826676 8027360 8063848 8478899 8529070 9249708 9304440 9486880 9632832 9783345 10079810 10112960 10234884 10435568 11087791 11384256 11562135 12041040 12095772 12332944 12405920 12793605 13044460 13103753 13646512 14230320 14887104 15119715 15169440 15416180 15653352 16054720 16127696 16957798 17058140 18499416 18608880 18973760 19566690 20159620 20469768 20871136 22175582 23124270 24082080 24191544 24665888 24811840 25436697 25587210 26088920 26207506 27293024 28460640 30239430 30338880 30832360 31306704 32255392 33263373 33915596 34116280 36998832 37217760 39133380 39311259 40319240 40939536 41742272 42394495 44351164 46248540 48164160 48383088 49331776 50873394 51174420 52177840 52415012 54586048 55438955 56921280 60478860 61664720 62613408 64510784 65518765 66526746 67831192 68232560 73997664 74435520 78266760 78622518 80638480 81879072 84788990 88702328 92497080 96766176 101746788 102348840 104355680 104830024 110877910 120957720 123329440 125226816 127183485 131037530 133053492 135662384 136465120 144141283 147995328 156533520 157245036 161276960 163758144 166316865 169577980 177404656 184994160 193532352 196556295 203493576 204697680 208711360 209660048 221755820 241915440 246658880 254366970 262075060 266106984 271324768 272930240 288282566 313067040 314490072 322553920 332633730 339155960 354809312 369988320 393112590 406987152 409395360 419320096 432423849 443511640 483830880 508733940 524150120 532213968 542649536 576565132 626134080 628980144 665267460 678311920 709618624 720706415 739976640 786225180 813974304 818790720 838640192 864847698 887023280 967661760 1017467880 1048300240 1064427936 1153130264 1257960288 1330534920 1356623840 1441412830 1572450360 1627948608 1729695396 1774046560 2034935760 2096600480 2128855872 2162119245 2306260528 2515920576 2661069840 2713247680 2882825660 3144900720 3459390792 3548093120 4069871520 4193200960 4324238490 4612521056 5322139680 5765651320 6289801440 6918781584 8139743040 8648476980 9225042112 10644279360 11531302640 12579602880 13837563168 17296953960 23062605280 27675126336 34593907920 46125210560 69187815840 138375631680
- Sum of all divisors σ(n): 549635891328
- Sum of proper divisors (its aliquot sum) s(n): 411260259648
- 138375631680 is an abundant number, because the sum of its proper divisors (411260259648) is greater than itself. Its abundance is 272884627968
Bases of 138375631680
- Binary: 100000001101111101010010010011010000002
- Hexadecimal: 0x2037D49340
- Base-36: 1RKHA0QO
Squares and roots of 138375631680
- 138375631680 squared (1383756316802) is 19147815442839019622400
- 138375631680 cubed (1383756316803) is 2649591057194908272801515077632000
-
The
square root of 138375631680 is 371988.7520880167 -
The
cube root of 138375631680 is 5172.3337310947
Scales and comparisons
How big is 138375631680?- 138,375,631,680 seconds is equal to 4,399 years, 47 weeks, 4 days, 19 hours, 28 minutes.
-
To count from 1 to 138,375,631,680 would take you about eight thousand, seven hundred ninety-nine 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 138375631680 cubic inches would be around 431 feet tall.
Recreational maths with 138375631680
- 138375631680 backwards is 086136573831
- 138375631680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138375631680's digits is 51
- More coming soon!
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The information we have on file for 138375631680 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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