12946456800

Names of 12946456800

• Cardinal: 12946456800 can be written as Twelve billion, nine hundred forty-six million, four hundred fifty-six thousand, eight hundred.

Scientific notation

• Scientific notation: 1.29464568 × 10¹⁰

Factors of 12946456800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 370

Divisors of 12946456800

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 79 80 81 90 96 100 108 120 135 144 150 158 160 162 180 200 216 225 237 240 243 270 281 288 300 316 324 360 395 400 405 432 450 474 480 486 540 562 600 632 648 675 711 720 729 790 800 810 843 864 900 948 972 1080 1124 1185 1200 1215 1264 1296 1350 1405 1422 1440 1458 1580 1620 1686 1800 1896 1944 1975 2025 2133 2160 2248 2370 2400 2430 2528 2529 2592 2700 2810 2844 2916 3160 3240 3372 3555 3600 3645 3792 3888 3950 4050 4215 4266 4320 4496 4740 4860 5058 5400 5620 5688 5832 5925 6075 6320 6399 6480 6744 7025 7110 7200 7290 7584 7587 7776 7900 8100 8430 8532 8992 9480 9720 10116 10665 10800 11240 11376 11664 11850 12150 12640 12645 12798 12960 13488 14050 14220 14580 15174 15800 16200 16860 17064 17775 18225 18960 19197 19440 20232 21075 21330 21600 22199 22480 22752 22761 23328 23700 24300 25290 25596 26976 28100 28440 29160 30348 31600 31995 32400 33720 34128 35550 36450 37920 37935 38394 38880 40464 42150 42660 44398 44960 45522 47400 48600 50580 51192 53325 56200 56880 57591 58320 60696 63200 63225 63990 64800 66597 67440 68256 68283 71100 72900 75870 76788 80928 84300 85320 88796 91044 94800 95985 97200 101160 102384 106650 110995 112400 113760 113805 115182 116640 121392 126450 127980 133194 134880 136566 142200 145800 151740 153576 159975 168600 170640 177592 182088 189600 189675 191970 194400 199791 202320 204768 204849 213300 221990 224800 227610 230364 242784 252900 255960 266388 273132 284400 287955 291600 303480 307152 319950 332985 337200 341280 341415 355184 364176 379350 383940 399582 404640 409698 426600 443980 455220 460728 479925 505800 511920 532776 546264 554975 568800 569025 575910 583200 599373 606960 614304 639900 665970 674400 682830 710368 728352 758700 767880 799164 819396 853200 887960 910440 921456 959850 998955 1011600 1023840 1024245 1065552 1092528 1109950 1138050 1151820 1198746 1213920 1279800 1331940 1365660 1439775 1517400 1535760 1598328 1638792 1664925 1706400 1707075 1775920 1798119 1820880 1842912 1919700 1997910 2023200 2048490 2131104 2185056 2219900 2276100 2303640 2397492 2559600 2663880 2731320 2879550 2996865 3034800 3071520 3196656 3277584 3329850 3414150 3551840 3596238 3641760 3839400 3995820 4096980 4439800 4552200 4607280 4794984 4994775 5119200 5121225 5327760 5394357 5462640 5759100 5993730 6069600 6393312 6555168 6659700 6828300 7192476 7678800 7991640 8193960 8879600 8990595 9104400 9214560 9589968 9989550 10242450 10655520 10788714 10925280 11518200 11987460 13319400 13656600 14384952 14984325 15357600 15983280 16183071 16387920 17759200 17981190 18208800 19179936 19979100 20484900 21577428 23036400 23974920 26638800 26971785 27313200 28769904 29968650 31966560 32366142 32775840 35962380 39958200 40969800 43154856 44952975 46072800 47949840 53277600 53943570 54626400 57539808 59937300 64732284 71924760 79916400 80915355 81939600 86309712 89905950 95899680 107887140 119874600 129464568 134858925 143849520 159832800 161830710 163879200 172619424 179811900 215774280 239749200 258929136 269717850 287699040 323661420 359623800 404576775 431548560 479498400 517858272 539435700 647322840 719247600 809153550 863097120 1078871400 1294645680 1438495200 1618307100 2157742800 2589291360 3236614200 4315485600 6473228400 12946456800
• Sum of all divisors σ(n): 48157230240
• Sum of proper divisors (its aliquot sum) s(n): 35210773440
• 12946456800 is an abundant number, because the sum of its proper divisors (35210773440) is greater than itself. Its abundance is 22264316640

Bases of 12946456800

• Binary: 1100000011101010110100000011100000₂
• Hexadecimal: 0x303AB40E0
• Base-36: 5Y3ZI00

Squares and roots of 12946456800

• 12946456800 squared (12946456800²) is 167610743674266240000
• 12946456800 cubed (12946456800³) is 2169965252194761147858432000000
• The square root of 12946456800 is 113782.4977753611
• The cube root of 12946456800 is 2348.1020921899

Scales and comparisons

• 12,946,456,800 seconds is equal to 411 years, 34 weeks, 1 day, 6 hours.
• To count from 1 to 12,946,456,800 would take you about eight hundred twenty-three 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 12946456800 cubic inches would be around 195.7 feet tall.

Recreational maths with 12946456800

• 12946456800 backwards is 00865464921
• 12946456800 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 12946456800's digits is 45
• More coming soon!