137878907431168
137,878,907,431,168 is an even composite number composed of six prime numbers multiplied together.
137878907431168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137878907431168:
28 × 31 × 41 × 53 × 61 × 131071
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 31 × 41 × 53 × 61 × 131071)See below for interesting mathematical facts about the number 137878907431168 from the Numbermatics database.
Names of 137878907431168
- Cardinal: 137878907431168 can be written as One hundred thirty-seven trillion, eight hundred seventy-eight billion, nine hundred seven million, four hundred thirty-one thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37878907431168 × 1014
Factors of 137878907431168
Divisors of 137878907431168
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 8 16 31 32 41 53 61 62 64 82 106 122 124 128 164 212 244 248 256 328 424 488 496 656 848 976 992 1271 1312 1643 1696 1891 1952 1984 2173 2501 2542 2624 3233 3286 3392 3782 3904 3968 4346 5002 5084 5248 6466 6572 6784 7564 7808 7936 8692 10004 10168 10496 12932 13144 13568 15128 15616 17384 20008 20336 25864 26288 30256 34768 40016 40672 51728 52576 60512 67363 69536 77531 80032 81344 100223 103456 105152 121024 131071 132553 134726 139072 155062 160064 162688 200446 206912 210304 242048 262142 265106 269452 278144 310124 320128 325376 400892 413824 420608 484096 524284 530212 538904 556288 620248 640256 801784 827648 1048568 1060424 1077808 1240496 1603568 2097136 2120848 2155616 2480992 3207136 4063201 4109143 4194272 4241696 4311232 4961984 5373911 6414272 6946763 7995331 8126402 8218286 8388544 8483392 8622464 9923968 10747822 12828544 13893526 15990662 16252804 16436572 16777088 16966784 17244928 19847936 21495644 25657088 27787052 31981324 32505608 32873144 33554176 33933568 42991288 55574104 63962648 65011216 65746288 85982576 111148208 127925296 130022432 131492576 166591241 171965152 215349653 222296416 247855261 255850592 260044864 262985152 284817283 327808571 333182482 343930304 423752543 430699306 444592832 495710522 511701184 520089728 525970304 569634566 655617142 666364964 687860608 847505086 861398612 889185664 991421044 1023402368 1040179456 1051940608 1139269132 1311234284 1332729928 1375721216 1695010172 1722797224 1778371328 1982842088 2046804736 2278538264 2622468568 2665459856 3390020344 3445594448 3965684176 4557076528 5244937136 5330919712 6780040688 6891188896 7931368352 8829335773 9114153056 10162065701 10489874272 10661839424 13136328833 13560081376 13782377792 15862736704 17373854263 17658671546 18228306112 20324131402 20979748544 21323678848 26272657666 27120162752 27564755584 31725473408 34747708526 35317343092 36456612224 40648262804 41959497088 42647357696 52545315332 54240325504 55129511168 63450946816 69495417052 70634686184 72913224448 81296525608 83918994176 105090630664 108480651008 138990834104 141269372368 162593051216 210181261328 277981668208 282538744736 325186102432 420362522656 538589482153 555963336416 565077489472 650372204864 840725045312 1077178964306 1111926672832 1130154978944 1300744409728 1681450090624 2154357928612 2223853345664 2260309957888 2601488819456 3362900181248 4308715857224 4447706691328 8617431714448 17234863428896 34469726857792 68939453715584 137878907431168
- Sum of all divisors σ(n): 301380774395904
- Sum of proper divisors (its aliquot sum) s(n): 163501866964736
- 137878907431168 is an abundant number, because the sum of its proper divisors (163501866964736) is greater than itself. Its abundance is 25622959533568
Bases of 137878907431168
- Binary: 111110101100110011011110100110010101001000000002
- Hexadecimal: 0x7D666F4CA900
- Base-36: 1CVGP1K1DS
Squares and roots of 137878907431168
- 137878907431168 squared (1378789074311682) is 19010593114412594332657844224
- 137878907431168 cubed (1378789074311683) is 2621159808233693865576307439804800546373632
-
The
square root of 137878907431168 is 11742184.9513269037 -
The
cube root of 137878907431168 is 51661.3730298115
Scales and comparisons
How big is 137878907431168?- 137,878,907,431,168 seconds is equal to 4,384,122 years, 39 weeks, 6 days, 20 hours, 39 minutes, 28 seconds.
-
To count from 1 to 137,878,907,431,168 would take you about ten million, nine hundred sixty thousand, three hundred 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 137878907431168 cubic inches would be around 4305.1 feet tall.
Recreational maths with 137878907431168
- 137878907431168 backwards is 861134709878731
- The number of decimal digits it has is: 15
- The sum of 137878907431168's digits is 73
- More coming soon!
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