138281997312
138,281,997,312 is an even composite number composed of five prime numbers multiplied together.
What does the number 138281997312 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 440 divisors.
138281997312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty divisors.
Prime factorization of 138281997312:
210 × 34 × 17 × 281 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 17 × 281 × 349)See below for interesting mathematical facts about the number 138281997312 from the Numbermatics database.
Names of 138281997312
- Cardinal: 138281997312 can be written as One hundred thirty-eight billion, two hundred eighty-one million, nine hundred ninety-seven thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38281997312 × 1011
Factors of 138281997312
Divisors of 138281997312
- Number of divisors d(n): 440
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 256 272 281 288 306 324 349 384 408 432 459 512 544 562 576 612 648 698 768 816 843 864 918 1024 1047 1088 1124 1152 1224 1296 1377 1396 1536 1632 1686 1728 1836 2094 2176 2248 2304 2448 2529 2592 2754 2792 3072 3141 3264 3372 3456 3672 4188 4352 4496 4608 4777 4896 5058 5184 5508 5584 5933 6282 6528 6744 6912 7344 7587 8376 8704 8992 9216 9423 9554 9792 10116 10368 11016 11168 11866 12564 13056 13488 13824 14331 14688 15174 16752 17408 17799 17984 18846 19108 19584 20232 20736 22032 22336 22761 23732 25128 26112 26976 27648 28269 28662 29376 30348 33504 35598 35968 37692 38216 39168 40464 41472 42993 44064 44672 45522 47464 50256 52224 53397 53952 56538 57324 58752 60696 67008 71196 71936 75384 76432 78336 80928 82944 85986 88128 89344 91044 94928 98069 100512 106794 107904 113076 114648 117504 121392 128979 134016 142392 143872 150768 152864 156672 160191 161856 171972 176256 178688 182088 189856 196138 201024 213588 215808 226152 229296 235008 242784 257958 268032 284784 287744 294207 301536 305728 320382 323712 343944 352512 357376 364176 379712 386937 392276 402048 427176 431616 452304 458592 470016 480573 485568 515916 536064 569568 588414 603072 611456 640764 647424 687888 705024 728352 759424 773874 784552 804096 854352 863232 882621 904608 917184 961146 971136 1031832 1072128 1139136 1176828 1206144 1222912 1281528 1294848 1375776 1410048 1456704 1518848 1547748 1569104 1608192 1667173 1708704 1765242 1809216 1834368 1922292 1942272 2063664 2278272 2353656 2412288 2445824 2563056 2589696 2647863 2751552 2913408 3037696 3095496 3138208 3216384 3334346 3417408 3530484 3618432 3668736 3844584 3884544 4127328 4556544 4707312 4824576 4891648 5001519 5126112 5295726 5503104 5826816 6075392 6190992 6276416 6668692 6834816 7060968 7236864 7337472 7689168 7769088 7943589 8254656 9113088 9414624 9649152 10003038 10252224 10591452 11006208 11653632 12381984 12552832 13337384 13669632 14121936 14473728 14674944 15004557 15378336 15887178 16509312 18226176 18829248 20006076 20504448 21182904 22012416 23307264 24763968 25105664 26674768 27339264 28243872 28947456 30009114 30756672 31774356 33018624 37658496 40012152 41008896 42365808 44024832 45013671 49527936 50211328 53349536 54678528 56487744 60018228 61513344 63548712 66037248 75316992 80024304 82017792 84731616 90027342 99055872 100422656 106699072 112975488 120036456 123026688 127097424 132074496 135041013 150633984 160048608 164035584 169463232 180054684 198111744 213398144 225950976 240072912 246053376 254194848 270082026 301267968 320097216 338926464 360109368 396223488 426796288 451901952 480145824 492106752 508389696 540164052 640194432 677852928 720218736 853592576 903803904 960291648 1016779392 1080328104 1280388864 1355705856 1440437472 1707185152 1920583296 2033558784 2160656208 2560777728 2711411712 2880874944 3841166592 4067117568 4321312416 5121555456 5761749888 7682333184 8134235136 8642624832 11523499776 15364666368 17285249664 23046999552 34570499328 46093999104 69140998656 138281997312
- Sum of all divisors σ(n): 440040724200
- Sum of proper divisors (its aliquot sum) s(n): 301758726888
- 138281997312 is an abundant number, because the sum of its proper divisors (301758726888) is greater than itself. Its abundance is 163476729576
Bases of 138281997312
- Binary: 100000001100100011111111010100000000002
- Hexadecimal: 0x20323FD400
- Base-36: 1RIXJ400
Squares and roots of 138281997312
- 138281997312 squared (1382819973122) is 19121910780595975225344
- 138281997312 cubed (1382819973123) is 2644216015162676467869037602275328
-
The
square root of 138281997312 is 371862.8743394533 -
The
cube root of 138281997312 is 5171.1668168679
Scales and comparisons
How big is 138281997312?- 138,281,997,312 seconds is equal to 4,396 years, 48 weeks, 6 days, 1 hour, 55 minutes, 12 seconds.
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To count from 1 to 138,281,997,312 would take you about eight thousand, seven hundred ninety-three 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 138281997312 cubic inches would be around 430.9 feet tall.
Recreational maths with 138281997312
- 138281997312 backwards is 213799182831
- 138281997312 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138281997312's digits is 54
- More coming soon!
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