138443128512
138,443,128,512 is an even composite number composed of seven prime numbers multiplied together.
138443128512 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138443128512:
26 × 3 × 13 × 19 × 37 × 257 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 19 × 37 × 257 × 307)See below for interesting mathematical facts about the number 138443128512 from the Numbermatics database.
Names of 138443128512
- Cardinal: 138443128512 can be written as One hundred thirty-eight billion, four hundred forty-three million, one hundred twenty-eight thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38443128512 × 1011
Factors of 138443128512
Divisors of 138443128512
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 32 37 38 39 48 52 57 64 74 76 78 96 104 111 114 148 152 156 192 208 222 228 247 257 296 304 307 312 416 444 456 481 494 514 592 608 614 624 703 741 771 832 888 912 921 962 988 1028 1184 1216 1228 1248 1406 1443 1482 1542 1776 1824 1842 1924 1976 2056 2109 2368 2456 2496 2812 2886 2964 3084 3341 3552 3648 3684 3848 3952 3991 4112 4218 4883 4912 5624 5772 5833 5928 6168 6682 7104 7368 7696 7904 7982 8224 8436 9139 9509 9766 9824 10023 11248 11359 11544 11666 11856 11973 12336 13364 14649 14736 15392 15808 15964 16448 16872 17499 18278 19018 19532 19648 20046 22496 22718 23088 23332 23712 23946 24672 26728 27417 28527 29298 29472 30784 31928 33744 34077 34998 36556 38036 39064 40092 44992 45436 46176 46664 47424 47892 49344 53456 54834 57054 58596 58944 63479 63856 67488 68154 69996 73112 75829 76072 78128 78899 80184 90872 92352 93328 95784 106912 109668 114108 117192 123617 126958 127712 134976 136308 139992 146224 147667 151658 152144 156256 157798 160368 180671 181744 186656 190437 191568 213824 215821 219336 227487 228216 234384 236697 247234 253916 255424 272616 279984 292448 295334 303316 304288 312512 315596 320736 361342 363488 370851 373312 380874 383136 431642 438672 443001 454974 456432 468768 473394 494468 507832 542013 545232 559968 584896 590668 606632 608576 631192 641472 647463 722684 726976 741702 761748 766272 863284 877344 886002 909948 912864 937536 946788 988936 1015664 1025687 1084026 1090464 1119936 1181336 1213264 1262384 1294926 1445368 1483404 1499081 1523496 1726568 1754688 1772004 1819896 1825728 1893576 1977872 2031328 2051374 2168052 2180928 2348723 2362672 2426528 2524768 2589852 2805673 2890736 2919263 2966808 2998162 3046992 3077061 3453136 3544008 3639792 3787152 3955744 4062656 4102748 4336104 4497243 4697446 4725344 4853056 5049536 5179704 5611346 5781472 5838526 5933616 5996324 6093984 6154122 6906272 7046169 7088016 7279584 7574304 7911488 8205496 8417019 8672208 8757789 8994486 9394892 9450688 10359408 11222692 11562944 11677052 11867232 11992648 12187968 12308244 13812544 14092338 14176032 14559168 15148608 16410992 16834038 17344416 17515578 17988972 18789784 19488053 20718816 22445384 23354104 23734464 23985296 24616488 28184676 28352064 32821984 33668076 34688832 35031156 35977944 37579568 37950419 38976106 41437632 44890768 46708208 47970592 49232976 55465997 56369352 58464159 65643968 67336152 70062312 71955888 75159136 75900838 77952212 89781536 93416416 95941184 98465952 110931994 112738704 113851257 116928318 134672304 140124624 143911776 150318272 151801676 155904424 166397991 179563072 186832832 196931904 221863988 225477408 227702514 233856636 269344608 280249248 287823552 303603352 311808848 332795982 443727976 450954816 455405028 467713272 538689216 560498496 607206704 623617696 665591964 721057961 887455952 910810056 935426544 1214413408 1247235392 1331183928 1442115922 1774911904 1821620112 1870853088 2163173883 2428826816 2662367856 2884231844 3549823808 3643240224 3741706176 4326347766 5324735712 5768463688 7286480448 8652695532 10649471424 11536927376 17305391064 23073854752 34610782128 46147709504 69221564256 138443128512
- Sum of all divisors σ(n): 429512455680
- Sum of proper divisors (its aliquot sum) s(n): 291069327168
- 138443128512 is an abundant number, because the sum of its proper divisors (291069327168) is greater than itself. Its abundance is 152626198656
Bases of 138443128512
- Binary: 100000001110111101101001111110110000002
- Hexadecimal: 0x203BDA7EC0
- Base-36: 1RLLGPMO
Squares and roots of 138443128512
- 138443128512 squared (1384431285122) is 19166499832190147334144
- 138443128512 cubed (1384431285123) is 2653470199393127001801111997513728
-
The
square root of 138443128512 is 372079.4653189021 -
The
cube root of 138443128512 is 5173.1745809565
Scales and comparisons
How big is 138443128512?- 138,443,128,512 seconds is equal to 4,402 years, 3 weeks, 2 days, 35 minutes, 12 seconds.
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To count from 1 to 138,443,128,512 would take you about eight thousand, eight hundred four 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 138443128512 cubic inches would be around 431.1 feet tall.
Recreational maths with 138443128512
- 138443128512 backwards is 215821344831
- The number of decimal digits it has is: 12
- The sum of 138443128512's digits is 42
- More coming soon!
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