13006381128140800
13,006,381,128,140,800 is an even composite number composed of four prime numbers multiplied together.
13006381128140800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 13006381128140800:
211 × 52 × 1072 × 2813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 107 × 107 × 281 × 281 × 281)See below for interesting mathematical facts about the number 13006381128140800 from the Numbermatics database.
Names of 13006381128140800
- Cardinal: 13006381128140800 can be written as Thirteen quadrillion, six trillion, three hundred eighty-one billion, one hundred twenty-eight million, one hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30063811281408 × 1016
Factors of 13006381128140800
Divisors of 13006381128140800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 128 160 200 214 256 281 320 400 428 512 535 562 640 800 856 1024 1070 1124 1280 1405 1600 1712 2048 2140 2248 2560 2675 2810 3200 3424 4280 4496 5120 5350 5620 6400 6848 7025 8560 8992 10240 10700 11240 11449 12800 13696 14050 17120 17984 21400 22480 22898 25600 27392 28100 30067 34240 35968 42800 44960 45796 51200 54784 56200 57245 60134 68480 71936 78961 85600 89920 91592 109568 112400 114490 120268 136960 143872 150335 157922 171200 179840 183184 219136 224800 228980 240536 273920 286225 287744 300670 315844 342400 359680 366368 394805 449600 457960 481072 547840 572450 575488 601340 631688 684800 719360 732736 751675 789610 899200 915920 962144 1095680 1144900 1202680 1263376 1369600 1438720 1465472 1503350 1579220 1798400 1831840 1924288 1974025 2289800 2405360 2526752 2739200 2877440 2930944 3006700 3158440 3217169 3596800 3663680 3848576 3948050 4579600 4810720 5053504 5478400 5861888 6013400 6316880 6434338 7193600 7327360 7697152 7896100 8448827 9159200 9621440 10107008 11723776 12026800 12633760 12868676 14387200 14654720 15394304 15792200 16085845 16897654 18318400 19242880 20214016 22188041 23447552 24053600 25267520 25737352 29309440 30788608 31584400 32171690 33795308 36636800 38485760 40428032 42244135 44376082 48107200 50535040 51474704 58618880 61577216 63168800 64343380 67590616 73273600 76971520 80429225 80856064 84488270 88752164 96214400 101070080 102949408 110940205 117237760 126337600 128686760 135181232 146547200 153943040 160858450 161712128 168976540 177504328 192428800 202140160 205898816 211220675 221880410 252675200 257373520 270362464 293094400 307886080 321716900 337953080 355008656 384857600 404280320 411797632 422441350 443760820 505350400 514747040 540724928 554701025 586188800 643433800 675906160 710017312 769715200 808560640 823595264 844882700 887521640 904024489 1010700800 1029494080 1081449856 1109402050 1286867600 1351812320 1420034624 1539430400 1647190528 1689765400 1775043280 1808048978 2021401600 2058988160 2162899712 2218804100 2374120387 2573735200 2703624640 2840069248 3294381056 3379530800 3550086560 3616097956 4042803200 4117976320 4325799424 4437608200 4520122445 4748240774 5147470400 5407249280 5680138496 6588762112 6759061600 7100173120 7232195912 8235952640 8651598848 8875216400 9040244890 9496481548 10294940800 10814498560 11360276992 11870601935 13518123200 14200346240 14464391824 16471905280 17303197696 17750432800 18080489780 18992963096 20589881600 21628997120 22600612225 22720553984 23741203870 27036246400 28400692480 28928783648 32943810560 35500865600 36160979560 37985926192 41179763200 43257994240 45201224450 45441107968 47482407740 54072492800 56801384960 57857567296 59353009675 71001731200 72321959120 75971852384 82359526400 86515988480 90402448900 94964815480 108144985600 113602769920 115715134592 118706019350 142003462400 144643918240 151943704768 164719052800 180804897800 189929630960 216289971200 227205539840 231430269184 237412038700 254030881409 284006924800 289287836480 303887409536 361609795600 379859261920 432579942400 462860538368 474824077400 508061762818 568013849600 578575672960 607774819072 723219591200 759718523840 925721076736 949648154800 1016123525636 1136027699200 1157151345920 1215549638144 1270154407045 1446439182400 1519437047680 1851442153472 1899296309600 2032247051272 2314302691840 2431099276288 2540308814090 2892878364800 3038874095360 3798592619200 4064494102544 4628605383680 4862198552576 5080617628180 5785756729600 6077748190720 6350772035225 7597185238400 8128988205088 9257210767360 10161235256360 11571513459200 12155496381440 12701544070450 15194370476800 16257976410176 20322470512720 23143026918400 24310992762880 25403088140900 30388740953600 32515952820352 40644941025440 46286053836800 50806176281800 60777481907200 65031905640704 81289882050880 101612352563600 121554963814400 130063811281408 162579764101760 203224705127200 260127622562816 325159528203520 406449410254400 520255245125632 650319056407040 812898820508800 1300638112814080 1625797641017600 2601276225628160 3251595282035200 6503190564070400 13006381128140800
- Sum of all divisors σ(n): 32668407285810660
- Sum of proper divisors (its aliquot sum) s(n): 19662026157669860
- 13006381128140800 is an abundant number, because the sum of its proper divisors (19662026157669860) is greater than itself. Its abundance is 6655645029529060
Bases of 13006381128140800
- Binary: 1011100011010100111100000101101111010011001000000000002
- Hexadecimal: 0x2E353C16F4C800
- Base-36: 3K2DL04VW1S
Squares and roots of 13006381128140800
- 13006381128140800 squared (130063811281408002) is 169165950050457149309664624640000
- 13006381128140800 cubed (130063811281408003) is 2200236820260275080321004568549700573069312000000
-
The
square root of 13006381128140800 is 114045522.1748789223 -
The
cube root of 13006381128140800 is 235171.9347045155
Scales and comparisons
How big is 13006381128140800?- 13,006,381,128,140,800 seconds is equal to 413,562,688 years, 25 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,006,381,128,140,800 would take you about one billion, two hundred forty million, six hundred eighty-eight thousand and sixty-five 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 13006381128140800 cubic inches would be around 19597.7 feet tall.
Recreational maths with 13006381128140800
- 13006381128140800 backwards is 00804182118360031
- The number of decimal digits it has is: 17
- The sum of 13006381128140800's digits is 46
- More coming soon!
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