1328213808304128

Names of 1328213808304128

• Cardinal: 1328213808304128 can be written as One quadrillion, three hundred twenty-eight trillion, two hundred thirteen billion, eight hundred eight million, three hundred four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.328213808304128 × 10¹⁵

Factors of 1328213808304128

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 34
• Sum of prime factors: 36

Divisors of 1328213808304128

• Number of divisors d(n): 572
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 243 248 256 279 288 324 372 384 432 486 496 512 558 576 648 729 744 768 837 864 972 992 1024 1116 1152 1296 1458 1488 1536 1674 1728 1944 1984 2048 2187 2232 2304 2511 2592 2916 2976 3072 3348 3456 3888 3968 4096 4374 4464 4608 5022 5184 5832 5952 6144 6561 6696 6912 7533 7776 7936 8748 8928 9216 10044 10368 11664 11904 12288 13122 13392 13824 15066 15552 15872 17496 17856 18432 19683 20088 20736 22599 23328 23808 26244 26784 27648 30132 31104 31744 34992 35712 36864 39366 40176 41472 45198 46656 47616 52488 53568 55296 59049 60264 62208 63488 67797 69984 71424 78732 80352 82944 90396 93312 95232 104976 107136 110592 118098 120528 124416 126976 135594 139968 142848 157464 160704 165888 177147 180792 186624 190464 203391 209952 214272 236196 241056 248832 271188 279936 285696 314928 321408 331776 354294 361584 373248 380928 406782 419904 428544 472392 482112 497664 531441 542376 559872 571392 610173 629856 642816 708588 723168 746496 813564 839808 857088 944784 964224 995328 1062882 1084752 1119744 1142784 1220346 1259712 1285632 1417176 1446336 1492992 1594323 1627128 1679616 1714176 1830519 1889568 1928448 2125764 2169504 2239488 2440692 2519424 2571264 2834352 2892672 2985984 3188646 3254256 3359232 3428352 3661038 3779136 3856896 4251528 4339008 4478976 4782969 4881384 5038848 5142528 5491557 5668704 5785344 6377292 6508512 6718464 7322076 7558272 7713792 8503056 8678016 8957952 9565938 9762768 10077696 10285056 10983114 11337408 11570688 12754584 13017024 13436928 14348907 14644152 15116544 15427584 16474671 17006112 17356032 19131876 19525536 20155392 21966228 22674816 23141376 25509168 26034048 26873856 28697814 29288304 30233088 30855168 32949342 34012224 34712064 38263752 39051072 40310784 43046721 43932456 45349632 46282752 49424013 51018336 52068096 57395628 58576608 60466176 65898684 68024448 69424128 76527504 78102144 80621568 86093442 87864912 90699264 92565504 98848026 102036672 104136192 114791256 117153216 120932352 129140163 131797368 136048896 138848256 148272039 153055008 156204288 172186884 175729824 181398528 197696052 204073344 208272384 229582512 234306432 241864704 258280326 263594736 272097792 277696512 296544078 306110016 312408576 344373768 351459648 362797056 387420489 395392104 408146688 416544768 444816117 459165024 468612864 516560652 527189472 544195584 593088156 612220032 624817152 688747536 702919296 725594112 774840978 790784208 816293376 833089536 889632234 918330048 937225728 1033121304 1054378944 1088391168 1162261467 1186176312 1224440064 1249634304 1334448351 1377495072 1405838592 1549681956 1581568416 1632586752 1779264468 1836660096 1874451456 2066242608 2108757888 2176782336 2324522934 2372352624 2448880128 2499268608 2668896702 2754990144 2811677184 3099363912 3163136832 3265173504 3486784401 3558528936 3673320192 3748902912 4003345053 4132485216 4217515776 4649045868 4744705248 4897760256 5337793404 5509980288 5623354368 6198727824 6326273664 6530347008 6973568802 7117057872 7346640384 7497805824 8006690106 8264970432 8435031552 9298091736 9489410496 9795520512 10460353203 10675586808 11019960576 11246708736 12010035159 12397455648 12652547328 13947137604 14234115744 14693280768 16013380212 16529940864 16870063104 18596183472 18978820992 19591041024 20920706406 21351173616 22039921152 22493417472 24020070318 24794911296 25305094656 27894275208 28468231488 29386561536 32026760424 33059881728 33740126208 36030105477 37192366944 37957641984 41841412812 42702347232 44079842304 48040140636 49589822592 50610189312 55788550416 56936462976 58773123072 64053520848 66119763456 67480252416 72060210954 74384733888 75915283968 83682825624 85404694464 88159684608 96080281272 99179645184 101220378624 108090316431 111577100832 113872925952 128107041696 132239526912 144120421908 148769467776 151830567936 167365651248 170809388928 176319369216 192160562544 198359290368 202440757248 216180632862 223154201664 227745851904 256214083392 264479053824 288240843816 297538935552 303661135872 324270949293 334731302496 341618777856 384321125088 396718580736 432361265724 446308403328 455491703808 512428166784 528958107648 576481687632 595077871104 607322271744 648541898586 669462604992 683237555712 768642250176 793437161472 864722531448 892616806656 910983407616 1024856333568 1152963375264 1190155742208 1297083797172 1338925209984 1366475111424 1537284500352 1586874322944 1729445062896 1785233613312 1821966815232 2049712667136 2305926750528 2380311484416 2594167594344 2677850419968 2732950222848 3074569000704 3458890125792 3570467226624 4099425334272 4611853501056 4760622968832 5188335188688 5355700839936 5465900445696 6149138001408 6917780251584 7140934453248 8198850668544 9223707002112 10376670377376 10711401679872 12298276002816 13835560503168 14281868906496 16397701337088 18447414004224 20753340754752 21422803359744 24596552005632 27671121006336 36894828008448 41506681509504 42845606719488 49193104011264 55342242012672 73789656016896 83013363019008 110684484025344 147579312033792 166026726038016 221368968050688 332053452076032 442737936101376 664106904152064 1328213808304128
• Sum of all divisors σ(n): 4112676147986048
• Sum of proper divisors (its aliquot sum) s(n): 2784462339681920
• 1328213808304128 is an abundant number, because the sum of its proper divisors (2784462339681920) is greater than itself. Its abundance is 1456248531377792

Bases of 1328213808304128

• Binary: 100101110000000000011100000001110101101000000000000₂
• Hexadecimal: 0x4B800E03AD000
• Base-36: D2T9000000

Squares and roots of 1328213808304128

• 1328213808304128 squared (1328213808304128²) is 1764151920569754882091341840384
• 1328213808304128 cubed (1328213808304128³) is 2343170940846995656868170562426836433504305152
• The square root of 1328213808304128 is 36444667.7622958723
• The cube root of 1328213808304128 is 109923.1917884797

Scales and comparisons

• 1,328,213,808,304,128 seconds is equal to 42,233,090 years, 34 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 1,328,213,808,304,128 would take you about one hundred twenty-six million, six hundred ninety-nine thousand, two hundred seventy-two 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 1328213808304128 cubic inches would be around 9160.3 feet tall.

Recreational maths with 1328213808304128

• 1328213808304128 backwards is 8214038083128231
• 1328213808304128 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 1328213808304128's digits is 54
• More coming soon!