12986471808640

Names of 12986471808640

• Cardinal: 12986471808640 can be written as Twelve trillion, nine hundred eighty-six billion, four hundred seventy-one million, eight hundred eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.298647180864 × 10¹³

Factors of 12986471808640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 17149

Divisors of 12986471808640

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 113 124 128 155 160 176 220 226 248 310 320 341 352 440 452 496 565 620 640 682 704 880 904 961 992 1130 1240 1243 1364 1408 1705 1760 1808 1922 1984 2260 2480 2486 2728 3410 3503 3520 3616 3844 3968 4520 4805 4960 4972 5456 6215 6820 7006 7040 7232 7688 9040 9610 9920 9944 10571 10912 12430 13640 14012 14464 15376 16987 17515 18080 19220 19840 19888 21142 21824 24860 27280 28024 30752 33974 35030 36160 38440 38533 39776 42284 43648 49720 52855 54560 56048 61504 67948 70060 72320 76880 77066 79552 84568 84935 99440 105710 108593 109120 112096 123008 135896 140120 153760 154132 159104 169136 169870 186857 192665 198880 211420 217186 218240 224192 271792 280240 307520 308264 338272 339740 373714 385330 397760 422840 434372 448384 526597 542965 543584 560480 615040 616528 676544 679480 747428 770660 795520 845680 868744 934285 1053194 1085930 1087168 1120960 1194523 1233056 1353088 1358960 1494856 1541320 1691360 1737488 1868570 1919531 2106388 2171860 2174336 2241920 2389046 2466112 2632985 2717920 2989712 3082640 3382720 3474976 3737140 3839062 4212776 4343720 4778092 4932224 5265970 5435840 5792567 5972615 5979424 6165280 6765440 6949952 7474280 7678124 8425552 8687440 9556184 9597655 10531940 10871680 11585134 11945230 11958848 12330560 13899904 14948560 15356248 16324507 16851104 17374880 19112368 19195310 21063880 21114841 23170268 23890460 23917696 24661120 28962835 29897120 30712496 32649014 33702208 34749760 38224736 38390620 42127760 42229682 46340536 47780920 57925670 59505461 59794240 61424992 65298028 67404416 69499520 76449472 76781240 81622535 84255520 84459364 92681072 95561840 105574205 115851340 119010922 119588480 122849984 130596056 152898944 153562480 163245070 168511040 168918728 179569577 185362144 191123680 211148410 231702680 238021844 245699968 261192112 297527305 307124960 326490140 337022080 337837456 359139154 370724288 382247360 422296820 463405360 476043688 522384224 595054610 614249920 652980280 654560071 675674912 718278308 741448576 764494720 844593640 897847885 926810720 952087376 1044768448 1190109220 1228499840 1305960560 1309120142 1351349824 1436556616 1689187280 1795695770 1844669291 1853621440 1904174752 2089536896 2380218440 2611921120 2618240284 2702699648 2873113232 3272800355 3378374560 3591391540 3689338582 3707242880 3808349504 4760436880 5223842240 5236480568 5746226464 6545600710 6756749120 7182783080 7378677164 7616699008 9223346455 9520873760 10447684480 10472961136 11492452928 13091201420 13513498240 14365566160 14757354328 18446692910 19041747520 20291362201 20945922272 22984905856 26182402840 28731132320 29514708656 36893385820 38083495040 40582724402 41891844544 52364805680 57462264640 59029417312 73786771640 81165448804 83783689088 101456811005 104729611360 114924529280 118058834624 147573543280 162330897608 202913622010 209459222720 236117669248 295147086560 324661795216 405827244020 418918445440 590294173120 649323590432 811654488040 1180588346240 1298647180864 1623308976080 2597294361728 3246617952160 6493235904320 12986471808640
• Sum of all divisors σ(n): 35307667575360
• Sum of proper divisors (its aliquot sum) s(n): 22321195766720
• 12986471808640 is an abundant number, because the sum of its proper divisors (22321195766720) is greater than itself. Its abundance is 9334723958080

Bases of 12986471808640

• Binary: 10111100111110100110000010011111111010000000₂
• Hexadecimal: 0xBCFA609FE80
• Base-36: 4LPWI0I9S

Squares and roots of 12986471808640

• 12986471808640 squared (12986471808640²) is 168648450036601472778649600
• 12986471808640 cubed (12986471808640³) is 2190148341971156602394637397288812544000
• The square root of 12986471808640 is 3603674.7645479885
• The cube root of 12986471808640 is 23505.1878141569

Scales and comparisons

• 12,986,471,808,640 seconds is equal to 412,929 years, 32 weeks, 6 days, 16 hours, 10 minutes, 40 seconds.
• To count from 1 to 12,986,471,808,640 would take you about one million, thirty-two thousand, three hundred twenty-four 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 12986471808640 cubic inches would be around 1958.8 feet tall.

Recreational maths with 12986471808640

• 12986471808640 backwards is 04680817468921
• 12986471808640 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12986471808640's digits is 64
• More coming soon!