138331346400
138,331,346,400 is an even composite number composed of six prime numbers multiplied together.
138331346400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138331346400:
25 × 35 × 52 × 13 × 127 × 431
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 127 × 431)See below for interesting mathematical facts about the number 138331346400 from the Numbermatics database.
Names of 138331346400
- Cardinal: 138331346400 can be written as One hundred thirty-eight billion, three hundred thirty-one million, three hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.383313464 × 1011
Factors of 138331346400
Divisors of 138331346400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 65 72 75 78 80 81 90 96 100 104 108 117 120 127 130 135 144 150 156 160 162 180 195 200 208 216 225 234 240 243 254 260 270 288 300 312 324 325 351 360 381 390 400 405 416 431 432 450 468 480 486 508 520 540 585 600 624 635 648 650 675 702 720 762 780 800 810 862 864 900 936 972 975 1016 1040 1053 1080 1143 1170 1200 1215 1248 1270 1293 1296 1300 1350 1404 1440 1524 1560 1620 1651 1724 1755 1800 1872 1905 1944 1950 2025 2032 2080 2106 2155 2160 2286 2340 2400 2430 2540 2586 2592 2600 2700 2808 2925 3048 3120 3159 3175 3240 3302 3429 3448 3510 3600 3744 3810 3879 3888 3900 4050 4064 4212 4310 4320 4572 4680 4860 4953 5080 5172 5200 5265 5400 5603 5616 5715 5850 6075 6096 6240 6318 6350 6465 6480 6604 6858 6896 7020 7200 7620 7758 7776 7800 8100 8255 8424 8620 8775 9144 9360 9525 9720 9906 10160 10287 10344 10400 10530 10775 10800 11206 11232 11430 11637 11700 12150 12192 12636 12700 12930 12960 13208 13716 13792 14040 14859 15240 15516 15600 15795 16200 16510 16809 16848 17145 17240 17550 18288 18720 19050 19395 19440 19812 20320 20574 20688 21060 21550 21600 22412 22860 23274 23400 24300 24765 25272 25400 25860 26325 26416 27432 28015 28080 28575 29718 30480 30861 31032 31200 31590 32325 32400 33020 33618 33696 34290 34480 34911 35100 36576 38100 38790 38880 39624 41148 41275 41376 42120 43100 44577 44824 45720 46548 46800 48600 49530 50427 50544 50800 51435 51720 52650 52832 54737 54864 56030 56160 57150 58185 59436 60960 61722 62064 63180 64650 64800 66040 67236 68580 68960 69822 70200 74295 76200 77580 78975 79248 82296 82550 84045 84240 85725 86200 89154 89648 91440 93096 93600 96975 97200 99060 100854 101088 101600 102870 103440 104733 105300 109474 109728 112060 114300 116370 118872 123444 123825 124128 126360 129300 132080 133731 134472 137160 139644 140075 140400 148590 151281 152400 154305 155160 157950 158496 164211 164592 165100 168090 168480 171450 172400 174555 178308 179296 182880 186192 193950 194400 198120 201708 205740 206880 209466 210600 218948 222885 224120 228600 232740 237744 246888 247650 252135 252720 257175 258600 264160 267462 268944 273685 274320 279288 280150 280800 290925 297180 302562 304800 308610 310320 315900 328422 329184 330200 336180 342900 344800 349110 356616 371475 372384 387900 396240 401193 403416 411480 418932 420225 421200 437896 445770 448240 453843 457200 465480 475488 492633 493776 495300 504270 505440 514350 517200 523665 534924 537888 547370 548640 558576 560300 581850 594360 605124 617220 620640 631800 656844 660400 668655 672360 685800 698220 711581 713232 742950 756405 771525 775800 792480 802386 806832 821055 822960 837864 840450 842400 872775 875792 891540 896480 907686 914400 930960 985266 987552 990600 1008540 1028700 1034400 1047330 1069848 1094740 1114425 1117152 1120600 1163700 1188720 1210248 1234440 1260675 1263600 1313688 1320800 1337310 1344720 1361529 1368425 1371600 1396440 1423162 1426464 1477899 1485900 1512810 1543050 1551600 1604772 1613664 1642110 1645920 1675728 1680900 1745550 1751584 1783080 1815372 1861920 1970532 1981200 2005965 2017080 2057400 2094660 2134743 2139696 2189480 2228850 2241200 2269215 2327400 2377440 2420496 2463165 2468880 2521350 2527200 2618325 2627376 2674620 2689440 2723058 2736850 2743200 2792880 2846324 2955798 2971800 3025620 3086100 3103200 3209544 3284220 3343275 3351456 3361800 3491100 3557905 3566160 3630744 3782025 3941064 3962400 4011930 4034160 4105275 4114800 4189320 4269486 4279392 4378960 4433697 4457700 4482400 4538430 4654800 4840992 4926330 4937760 5042700 5236650 5254752 5349240 5446116 5473700 5585760 5692648 5911596 5943600 6051240 6172200 6404229 6419088 6568440 6686550 6723600 6807645 6982200 7115810 7132320 7261488 7389495 7564050 7882128 8023860 8068320 8210550 8229600 8378640 8538972 8757920 8867394 8915400 9076860 9309600 9852660 10029825 10085400 10473300 10673715 10698480 10892232 10947400 11346075 11385296 11823192 11887200 12102480 12315825 12344400 12808458 12838176 13136880 13301091 13373100 13447200 13615290 13964400 14231620 14522976 14778990 15128100 15764256 16047720 16421100 16757280 17077944 17734788 17789525 17830800 18153720 19212687 19705320 20059650 20170800 20946600 21347430 21396960 21784464 21894800 22168485 22692150 22770592 23646384 24204960 24631650 24688800 25616916 26273760 26602182 26746200 27230580 27928800 28463240 29557980 30256200 32021145 32095440 32842200 34038225 34155888 35469576 35579050 35661600 36307440 36947475 38425374 39410640 40119300 40341600 41893200 42694860 43568928 43789600 44336970 45384300 47292768 49263300 51233832 53204364 53368575 53492400 54461160 56926480 57638061 59115960 60512400 64042290 64190880 65684400 66505455 68076450 68311776 70939152 71158100 72614880 73894950 76850748 78821280 80238600 83786400 85389720 88673940 90768600 96063435 98526600 102467664 106408728 106737150 106984800 108922320 110842425 113852960 115276122 118231920 121024800 128084580 131368800 133010910 136152900 141878304 142316200 147789900 153701496 160105725 160477200 170779440 172914183 177347880 181537200 192126870 197053200 204935328 212817456 213474300 217844640 221684850 230552244 236463840 256169160 266021820 272305800 284632400 288190305 295579800 307402992 320211450 320954400 332527275 341558880 345828366 354695760 363074400 384253740 394106400 425634912 426948600 443369700 461104488 480317175 512338320 532043640 544611600 569264800 576380610 591159600 614805984 640422900 665054550 691656732 709391520 768507480 853897200 864570915 886739400 922208976 960634350 1024676640 1064087280 1089223200 1152761220 1182319200 1280845800 1330109100 1383313464 1440951525 1537014960 1707794400 1729141830 1773478800 1844417952 1921268700 2128174560 2305522440 2561691600 2660218200 2766626928 2881903050 3074029920 3458283660 3546957600 3842537400 4322854575 4611044880 5123383200 5320436400 5533253856 5763806100 6916567320 7685074800 8645709150 9222089760 10640872800 11527612200 13833134640 15370149600 17291418300 23055224400 27666269280 34582836600 46110448800 69165673200 138331346400
- Sum of all divisors σ(n): 550332776448
- Sum of proper divisors (its aliquot sum) s(n): 412001430048
- 138331346400 is an abundant number, because the sum of its proper divisors (412001430048) is greater than itself. Its abundance is 273670083648
Bases of 138331346400
- Binary: 100000001101010011000011010101111000002
- Hexadecimal: 0x203530D5E0
- Base-36: 1RJQWU00
Squares and roots of 138331346400
- 138331346400 squared (1383313464002) is 19135561396836792960000
- 138331346400 cubed (1383313464003) is 2647047972144298271214841344000000
-
The
square root of 138331346400 is 371929.2222990821 -
The
cube root of 138331346400 is 5171.7818933547
Scales and comparisons
How big is 138331346400?- 138,331,346,400 seconds is equal to 4,398 years, 26 weeks, 3 days, 6 hours.
-
To count from 1 to 138,331,346,400 would take you about eight thousand, seven hundred ninety-seven 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 138331346400 cubic inches would be around 431 feet tall.
Recreational maths with 138331346400
- 138331346400 backwards is 004643133831
- 138331346400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138331346400's digits is 36
- More coming soon!
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The information we have on file for 138331346400 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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