138327922304
138,327,922,304 is an even composite number composed of five prime numbers multiplied together.
What does the number 138327922304 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
138327922304 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138327922304:
27 × 11 × 132 × 592 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 13 × 59 × 59 × 167)See below for interesting mathematical facts about the number 138327922304 from the Numbermatics database.
Names of 138327922304
- Cardinal: 138327922304 can be written as One hundred thirty-eight billion, three hundred twenty-seven million, nine hundred twenty-two thousand, three hundred four.
Scientific notation
- Scientific notation: 1.38327922304 × 1011
Factors of 138327922304
Divisors of 138327922304
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 8 11 13 16 22 26 32 44 52 59 64 88 104 118 128 143 167 169 176 208 236 286 334 338 352 416 472 572 649 668 676 704 767 832 944 1144 1298 1336 1352 1408 1534 1664 1837 1859 1888 2171 2288 2596 2672 2704 3068 3481 3674 3718 3776 4342 4576 5192 5344 5408 6136 6962 7348 7436 7552 8437 8684 9152 9853 9971 10384 10688 10816 12272 13924 14696 14872 16874 17368 18304 19706 19942 20768 21376 21632 23881 24544 27848 28223 29392 29744 33748 34736 38291 39412 39884 41536 45253 47762 49088 55696 56446 58784 59488 67496 69472 76582 78824 79768 83072 90506 95524 98176 108383 109681 111392 112892 117568 118976 128089 134992 138944 153164 157648 159536 181012 191048 216766 219362 222784 225784 235136 237952 256178 269984 277888 306328 310453 315296 319072 362024 382096 433532 438724 445568 451568 497783 512356 539968 581327 588289 612656 620906 630592 638144 724048 764192 867064 877448 903136 995566 1024712 1079936 1162654 1176578 1225312 1241812 1261184 1276288 1408979 1448096 1528384 1665157 1734128 1754896 1806272 1991132 2049424 2325308 2353156 2450624 2483624 2817958 2896192 3056768 3330314 3468256 3509792 3612544 3982264 4098848 4650616 4706312 4901248 4967248 5635916 5792384 6394597 6471179 6660628 6936512 7019584 7557251 7964528 8197696 9301232 9412624 9934496 11271832 12789194 12942358 13321256 13873024 14039168 15114502 15929056 16395392 18316727 18602464 18825248 19868992 22543664 25578388 25884716 26642512 30229004 31858112 36633454 37204928 37650496 39737984 45087328 51156776 51769432 53285024 60458008 63716224 73266908 74409856 75300992 83129761 90174656 98244263 102313552 103538864 106570048 120916016 146533816 166259522 180349312 196488526 204627104 207077728 213140096 241832032 293067632 332519044 392977052 409254208 414155456 483664064 586135264 665038088 785954104 818508416 828310912 967328128 1080686893 1172270528 1330076176 1571908208 2161373786 2344541056 2660152352 3143816416 4322747572 5320304704 6287632832 8645495144 10640609408 12575265664 17290990288 34581980576 69163961152 138327922304
- Sum of all divisors σ(n): 333125382240
- Sum of proper divisors (its aliquot sum) s(n): 194797459936
- 138327922304 is an abundant number, because the sum of its proper divisors (194797459936) is greater than itself. Its abundance is 56469537632
Bases of 138327922304
- Binary: 100000001101001111110010010110100000002
- Hexadecimal: 0x2034FC9680
- Base-36: 1RJOVFY8
Squares and roots of 138327922304
- 138327922304 squared (1383279223042) is 19134614088941460668416
- 138327922304 cubed (1383279223043) is 2646851411012118116944920354750464
-
The
square root of 138327922304 is 371924.6191152181 -
The
cube root of 138327922304 is 5171.7392208771
Scales and comparisons
How big is 138327922304?- 138,327,922,304 seconds is equal to 4,398 years, 20 weeks, 5 days, 14 hours, 51 minutes, 44 seconds.
-
To count from 1 to 138,327,922,304 would take you about eight thousand, seven hundred ninety-six 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 138327922304 cubic inches would be around 431 feet tall.
Recreational maths with 138327922304
- 138327922304 backwards is 403229723831
- 138327922304 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138327922304's digits is 44
- More coming soon!
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