12813827500144
12,813,827,500,144 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12813827500144 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
12813827500144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 12813827500144:
24 × 11 × 17 × 61 × 71 × 307 × 3221
(2 × 2 × 2 × 2 × 11 × 17 × 61 × 71 × 307 × 3221)See below for interesting mathematical facts about the number 12813827500144 from the Numbermatics database.
Names of 12813827500144
- Cardinal: 12813827500144 can be written as Twelve trillion, eight hundred thirteen billion, eight hundred twenty-seven million, five hundred thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.2813827500144 × 1013
Factors of 12813827500144
Divisors of 12813827500144
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 8 11 16 17 22 34 44 61 68 71 88 122 136 142 176 187 244 272 284 307 374 488 568 614 671 748 781 976 1037 1136 1207 1228 1342 1496 1562 2074 2414 2456 2684 2992 3124 3221 3377 4148 4331 4828 4912 5219 5368 6248 6442 6754 8296 8662 9656 10438 10736 11407 12496 12884 13277 13508 16592 17324 18727 19312 20876 21797 22814 25768 26554 27016 34648 35431 37454 41752 43594 45628 47641 51536 53108 54032 54757 57409 69296 70862 73627 74908 83504 87188 91256 95282 106216 109514 114818 141724 147254 149816 174376 182512 190564 196481 205997 212432 219028 228691 229636 239767 283448 294508 299632 318359 348752 370549 381128 392962 411994 438056 457382 459272 479534 566896 589016 602327 636718 741098 762256 785924 809897 823988 876112 914764 918544 959068 988847 1178032 1204654 1273436 1329617 1482196 1571848 1619794 1647976 1829528 1918136 1977694 2161291 2409308 2515601 2546872 2659234 2964392 3143696 3239588 3295952 3340177 3501949 3659056 3836272 3887747 3955388 4076039 4322582 4818616 5031202 5093744 5318468 5928784 6479176 6680354 7003898 7775494 7910776 8152078 8645164 9637232 10062404 10636936 10877317 12958352 13360708 13950151 14007796 14625787 15550988 15821552 16304156 16810399 17290328 20124808 21273872 21754634 22603489 26721416 27900302 28015592 29251574 31101976 32608312 33620798 34580656 36741947 40249616 42765217 43509268 45206978 53442832 55800604 56031184 58503148 60319667 62203952 65216624 67241596 70208137 73483894 85530434 87018536 90413956 111601208 117006296 120639334 134483192 140416274 146967788 153451661 171060868 174037072 180827912 184914389 223202416 234012592 237152567 241278668 248638379 268966384 280832548 293935576 306903322 342121736 361655824 369828778 474305134 482557336 497276758 561665096 587871152 613806644 663516337 684243472 739657556 772289507 948610268 965114672 994553516 1025434339 1123330192 1193538329 1227613288 1327032674 1479315112 1544579014 1897220536 1989107032 2050868678 2387076658 2455226576 2608678237 2654065348 2958630224 3089158028 3794441072 3978214064 4101737356 4282696357 4774153316 5217356474 5308130696 6178316056 8203474712 8565392714 9548306632 10434712948 10616261392 11279777729 12356632112 13128921619 16406949424 17130785428 19096613264 20869425896 22559555458 26257843238 34261570856 41738851792 45119110916 47109659927 52515686476 68523141712 72805838069 90238221832 94219319854 105031372952 145611676138 180476443664 188438639708 210062745904 291223352276 376877279416 582446704552 753754558832 800864218759 1164893409104 1601728437518 3203456875036 6406913750072 12813827500144
- Sum of all divisors σ(n): 29663055442944
- Sum of proper divisors (its aliquot sum) s(n): 16849227942800
- 12813827500144 is an abundant number, because the sum of its proper divisors (16849227942800) is greater than itself. Its abundance is 4035400442656
Bases of 12813827500144
- Binary: 101110100111011100111010001011101000011100002
- Hexadecimal: 0xBA773A2E870
- Base-36: 4JILA1T9S
Squares and roots of 12813827500144
- 12813827500144 squared (128138275001442) is 164194175203446632320020736
- 12813827500144 cubed (128138275001443) is 2103955837585386513233966822581122985984
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The
square root of 12813827500144 is 3579640.6942798043 -
The
cube root of 12813827500144 is 23400.5621776351
Scales and comparisons
How big is 12813827500144?- 12,813,827,500,144 seconds is equal to 407,440 years, 4 weeks, 15 hours, 49 minutes, 4 seconds.
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To count from 1 to 12,813,827,500,144 would take you about one million, eighteen thousand, six hundred 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 12813827500144 cubic inches would be around 1950 feet tall.
Recreational maths with 12813827500144
- 12813827500144 backwards is 44100572831821
- The number of decimal digits it has is: 14
- The sum of 12813827500144's digits is 46
- More coming soon!
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