12812768980992

Names of 12812768980992

• Cardinal: 12812768980992 can be written as Twelve trillion, eight hundred twelve billion, seven hundred sixty-eight million, nine hundred eighty thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 1.2812768980992 × 10¹³

Factors of 12812768980992

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 46

Divisors of 12812768980992

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 512 576 656 738 768 864 984 1024 1107 1152 1312 1476 1536 1681 1728 1968 2048 2214 2304 2624 2952 3072 3362 3456 3936 4096 4428 4608 5043 5248 5904 6144 6724 6912 7872 8856 9216 10086 10496 11808 12288 13448 13824 15129 15744 17712 18432 20172 20992 23616 26896 27648 30258 31488 35424 36864 40344 41984 45387 47232 53792 55296 60516 62976 68921 70848 80688 83968 90774 94464 107584 110592 121032 125952 137842 141696 161376 167936 181548 188928 206763 215168 242064 251904 275684 283392 322752 363096 377856 413526 430336 484128 503808 551368 566784 620289 645504 726192 755712 827052 860672 968256 1102736 1133568 1240578 1291008 1452384 1511424 1654104 1721344 1860867 1936512 2205472 2267136 2481156 2582016 2825761 2904768 3308208 3442688 3721734 3873024 4410944 4534272 4962312 5164032 5651522 5809536 6616416 6885376 7443468 7746048 8477283 8821888 9924624 10328064 11303044 11619072 13232832 14886936 15492096 16954566 17643776 19849248 20656128 22606088 23238144 25431849 26465664 29773872 30984192 33909132 35287552 39698496 45212176 46476288 50863698 52931328 59547744 61968384 67818264 70575104 76295547 79396992 90424352 92952576 101727396 105862656 115856201 119095488 135636528 141150208 152591094 158793984 180848704 185905152 203454792 211725312 231712402 238190976 271273056 282300416 305182188 317587968 347568603 361697408 406909584 423450624 463424804 476381952 542546112 610364376 635175936 695137206 723394816 813819168 846901248 926849608 952763904 1042705809 1085092224 1220728752 1270351872 1390274412 1446789632 1627638336 1853699216 1905527808 2085411618 2170184448 2441457504 2540703744 2780548824 2893579264 3128117427 3255276672 3707398432 3811055616 4170823236 4340368896 4882915008 5561097648 5787158528 6256234854 6510553344 7414796864 7622111232 8341646472 8680737792 9765830016 11122195296 11574317056 12512469708 13021106688 14829593728 16683292944 17361475584 19531660032 22244390592 25024939416 26042213376 29659187456 33366585888 34722951168 39063320064 44488781184 50049878832 52084426752 59318374912 66733171776 78126640128 88977562368 100099757664 104168853504 118636749824 133466343552 156253280256 177955124736 200199515328 237273499648 266932687104 312506560512 355910249472 400399030656 474546999296 533865374208 711820498944 800798061312 1067730748416 1423640997888 1601596122624 2135461496832 3203192245248 4270922993664 6406384490496 12812768980992
• Sum of all divisors σ(n): 38908103829840
• Sum of proper divisors (its aliquot sum) s(n): 26095334848848
• 12812768980992 is an abundant number, because the sum of its proper divisors (26095334848848) is greater than itself. Its abundance is 13282565867856

Bases of 12812768980992

• Binary: 10111010011100110100100010110011000000000000₂
• Hexadecimal: 0xBA7348B3000
• Base-36: 4JI3RU2O0

Squares and roots of 12812768980992

• 12812768980992 squared (12812768980992²) is 164167048960270774057304064
• 12812768980992 cubed (12812768980992³) is 2103434472619152338810602861511980351488
• The square root of 12812768980992 is 3579492.8385166523
• The cube root of 12812768980992 is 23399.9178053655

Scales and comparisons

• 12,812,768,980,992 seconds is equal to 407,406 years, 21 weeks, 6 days, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 12,812,768,980,992 would take you about one million, eighteen thousand, five 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 12812768980992 cubic inches would be around 1950 feet tall.

Recreational maths with 12812768980992

• 12812768980992 backwards is 29908986721821
• 12812768980992 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12812768980992's digits is 72
• More coming soon!