137568311508992
137,568,311,508,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 137568311508992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1632 divisors.
137568311508992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred thirty-two divisors.
Prime factorization of 137568311508992:
216 × 72 × 133 × 17 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 13 × 17 × 31 × 37)See below for interesting mathematical facts about the number 137568311508992 from the Numbermatics database.
Names of 137568311508992
- Cardinal: 137568311508992 can be written as One hundred thirty-seven trillion, five hundred sixty-eight billion, three hundred eleven million, five hundred eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.37568311508992 × 1014
Factors of 137568311508992
Divisors of 137568311508992
- Number of divisors d(n): 1632
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 31 32 34 37 49 52 56 62 64 68 74 91 98 104 112 119 124 128 136 148 169 182 196 208 217 221 224 238 248 256 259 272 296 338 364 392 403 416 434 442 448 476 481 496 512 518 527 544 592 629 637 676 728 784 806 832 833 868 884 896 952 962 992 1024 1036 1054 1088 1147 1183 1184 1258 1274 1352 1456 1519 1547 1568 1612 1664 1666 1736 1768 1792 1813 1904 1924 1984 2048 2072 2108 2176 2197 2294 2366 2368 2516 2548 2704 2821 2873 2912 3038 3094 3136 3224 3328 3332 3367 3472 3536 3584 3626 3689 3808 3848 3968 4096 4144 4216 4352 4394 4403 4588 4732 4736 5032 5096 5239 5408 5642 5746 5824 6076 6188 6253 6272 6448 6656 6664 6734 6851 6944 7072 7168 7252 7378 7616 7696 7936 8029 8177 8192 8281 8288 8432 8704 8788 8806 9176 9464 9472 10064 10192 10478 10816 10829 11284 11492 11648 12152 12376 12506 12544 12896 13312 13328 13468 13702 13888 14144 14336 14504 14756 14911 15232 15379 15392 15872 16058 16354 16384 16562 16576 16864 17408 17576 17612 18352 18928 18944 19499 19747 20111 20128 20384 20956 21632 21658 22568 22984 23296 23569 24304 24752 25012 25088 25792 25823 26624 26656 26936 27404 27776 28288 28672 29008 29512 29822 30464 30758 30784 30821 31744 32116 32708 32768 33124 33152 33728 34816 35152 35224 36673 36704 37349 37856 37888 38998 39494 40222 40256 40768 41912 43264 43316 43771 45136 45968 46592 47138 47957 48608 49504 50024 50176 51584 51646 53248 53312 53872 54808 55552 56203 56576 57239 57344 58016 59024 59644 60928 61516 61568 61642 63488 64232 65416 65536 66248 66304 67456 68107 69632 70304 70448 73346 73408 74698 75712 75776 77996 78988 80444 80512 81289 81536 83824 86528 86632 87542 89063 90272 91936 93184 94276 95914 97216 99008 100048 100352 103168 103292 104377 106301 106496 106624 107653 107744 109616 111104 112406 113152 114478 114688 116032 118048 119288 121856 123032 123136 123284 126976 128464 130832 132496 132608 134912 136214 136493 139264 140608 140777 140896 146692 146816 149396 151424 151552 155992 157976 160888 161024 162578 163072 167648 173056 173264 175084 178126 180544 183872 186368 188552 191828 193843 194432 198016 200096 200704 206336 206584 208754 212602 212992 213248 215306 215488 219232 222208 224812 226304 228956 229376 232064 236096 238576 243712 246064 246272 246568 253487 253952 256711 256928 261443 261664 264992 265216 269824 272428 272986 278528 281216 281554 281792 293384 293632 298792 302848 303104 306397 311984 315952 321776 322048 325156 326144 335296 335699 346112 346528 350168 356252 361088 367744 372736 377104 383656 387686 388864 396032 400192 400673 401408 412672 413168 417508 425204 425984 426496 430612 430976 438464 444416 449624 452608 457912 458752 464128 472192 476749 477152 487424 492128 492544 493136 506974 507904 513422 513856 522886 523328 529984 530432 539648 544856 545972 557056 562432 563108 563584 569023 586768 587264 597584 605696 606208 612794 623441 623968 631904 643552 644096 650312 652288 670592 671398 692224 693056 700336 712504 722176 730639 735488 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137568311508992
- Sum of all divisors σ(n): 389192538631680
- Sum of proper divisors (its aliquot sum) s(n): 251624227122688
- 137568311508992 is an abundant number, because the sum of its proper divisors (251624227122688) is greater than itself. Its abundance is 114055915613696
Bases of 137568311508992
- Binary: 111110100011110000111100101011100000000000000002
- Hexadecimal: 0x7D1E1E570000
- Base-36: 1CRI0CRI0W
Squares and roots of 137568311508992
- 137568311508992 squared (1375683115089922) is 18925040331435060764096856064
- 137568311508992 cubed (1375683115089923) is 2603485843635095643876968377573774865727488
-
The
square root of 137568311508992 is 11728951.8503995915 -
The
cube root of 137568311508992 is 51622.5518258853
Scales and comparisons
How big is 137568311508992?- 137,568,311,508,992 seconds is equal to 4,374,246 years, 40 weeks, 3 days, 15 hours, 36 minutes, 32 seconds.
-
To count from 1 to 137,568,311,508,992 would take you about ten million, nine hundred thirty-five thousand, six hundred sixteen 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 137568311508992 cubic inches would be around 4301.9 feet tall.
Recreational maths with 137568311508992
- 137568311508992 backwards is 299805113865731
- 137568311508992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137568311508992's digits is 68
- More coming soon!
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"Number 137568311508992 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 137568311508992 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/137568311508992/
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The information we have on file for 137568311508992 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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