13978857984
13,978,857,984 is an even composite number composed of five prime numbers multiplied together.
13978857984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13978857984:
29 × 3 × 73 × 132 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 13 × 157)See below for interesting mathematical facts about the number 13978857984 from the Numbermatics database.
Names of 13978857984
- Cardinal: 13978857984 can be written as Thirteen billion, nine hundred seventy-eight million, eight hundred fifty-seven thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.3978857984 × 1010
Factors of 13978857984
Divisors of 13978857984
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 128 147 156 157 168 169 182 192 196 208 224 256 273 294 312 314 336 338 343 364 384 392 416 448 471 507 512 546 588 624 628 637 672 676 686 728 768 784 832 896 942 1014 1029 1092 1099 1176 1183 1248 1256 1274 1344 1352 1372 1456 1536 1568 1664 1792 1884 1911 2028 2041 2058 2184 2198 2352 2366 2496 2512 2548 2688 2704 2744 2912 3136 3297 3328 3549 3584 3768 3822 4056 4082 4116 4368 4396 4459 4704 4732 4992 5024 5096 5376 5408 5488 5824 6123 6272 6594 6656 7098 7536 7644 7693 8112 8164 8232 8281 8736 8792 8918 9408 9464 9984 10048 10192 10752 10816 10976 11648 12246 12544 13188 13377 14196 14287 15072 15288 15386 16224 16328 16464 16562 17472 17584 17836 18816 18928 19968 20096 20384 21632 21952 23079 23296 24492 24843 25088 26376 26533 26754 28392 28574 30144 30576 30772 32448 32656 32928 33124 34944 35168 35672 37632 37856 40192 40768 42861 43264 43904 46158 46592 48984 49686 52752 53066 53508 53851 56784 57148 57967 60288 61152 61544 64896 65312 65856 66248 69888 70336 71344 75264 75712 79599 80384 81536 85722 86528 87808 92316 97968 99372 100009 105504 106132 107016 107702 113568 114296 115934 120576 122304 123088 129792 130624 131712 132496 139776 140672 142688 151424 159198 161553 163072 171444 173901 175616 184632 185731 195936 198744 200018 211008 212264 214032 215404 227136 228592 231868 241152 244608 246176 259584 261248 263424 264992 281344 285376 300027 302848 318396 323106 326144 342888 347802 369264 371462 391872 397488 400036 422016 424528 428064 430808 454272 457184 463736 489216 492352 522496 526848 529984 557193 562688 570752 600054 605696 636792 646212 685776 695604 700063 738528 742924 783744 794976 800072 844032 849056 856128 861616 908544 914368 927472 978432 984704 1044992 1059968 1114386 1141504 1200108 1273584 1292424 1300117 1371552 1391208 1400126 1477056 1485848 1567488 1589952 1600144 1688064 1698112 1712256 1723232 1817088 1828736 1854944 1969408 2100189 2119936 2228772 2283008 2400216 2547168 2584848 2600234 2743104 2782416 2800252 2954112 2971696 3134976 3179904 3200288 3396224 3424512 3446464 3657472 3709888 3900351 3938816 4200378 4239872 4457544 4800432 5094336 5169696 5200468 5486208 5564832 5600504 5908224 5943392 6359808 6400576 6792448 6849024 6892928 7314944 7419776 7800702 8400756 8915088 9100819 9600864 10188672 10339392 10400936 10972416 11129664 11201008 11816448 11886784 12719616 12801152 13584896 13785856 14839552 15601404 16801512 17830176 18201638 19201728 20377344 20678784 20801872 21944832 22259328 22402016 23773568 25602304 27302457 27571712 29679104 31202808 33603024 35660352 36403276 38403456 40754688 41357568 41603744 44518656 44804032 47547136 51204608 54604914 62405616 67206048 71320704 72806552 76806912 82715136 83207488 89037312 89608064 95094272 109209828 124811232 134412096 142641408 145613104 153613824 166414976 179216128 218419656 249622464 268824192 285282816 291226208 332829952 358432256 436839312 499244928 537648384 582452416 665659904 873678624 998489856 1075296768 1164904832 1747357248 1996979712 2329809664 3494714496 4659619328 6989428992 13978857984
- Sum of all divisors σ(n): 47326435200
- Sum of proper divisors (its aliquot sum) s(n): 33347577216
- 13978857984 is an abundant number, because the sum of its proper divisors (33347577216) is greater than itself. Its abundance is 19368719232
Bases of 13978857984
- Binary: 11010000010011010001110010000000002
- Hexadecimal: 0x341347200
- Base-36: 6F6NFUO
Squares and roots of 13978857984
- 13978857984 squared (139788579842) is 195408470536840544256
- 13978857984 cubed (139788579843) is 2731587258505142208207890939904
-
The
square root of 13978857984 is 118232.2205830543 -
The
cube root of 13978857984 is 2408.9284323233
Scales and comparisons
How big is 13978857984?- 13,978,857,984 seconds is equal to 444 years, 25 weeks, 1 day, 8 hours, 6 minutes, 24 seconds.
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To count from 1 to 13,978,857,984 would take you about eight hundred eighty-eight 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 13978857984 cubic inches would be around 200.7 feet tall.
Recreational maths with 13978857984
- 13978857984 backwards is 48975887931
- The number of decimal digits it has is: 11
- The sum of 13978857984's digits is 69
- More coming soon!
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