Search a number
-
+
14009544115152 = 2431377338813299
BaseRepresentation
bin1100101111011101100111…
…1001101000001111010000
31211121022002012212020102220
43023313121321220033100
53314013021243141102
645443521250341040
72644104364113135
oct313673171501720
954538065766386
1014009544115152
114511461474663
1216a3187b8a780
137a812c363c71
143660cbc4058c
15194648c591bc
hexcbdd9e683d0

14009544115152 has 160 divisors (see below), whose sum is σ = 36557741404800. Its totient is φ = 4622780743680.

The previous prime is 14009544115111. The next prime is 14009544115183. The reversal of 14009544115152 is 25151144590041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4246601599 + ... + 4246604897.

It is an arithmetic number, because the mean of its divisors is an integer number (228485883780).

Almost surely, 214009544115152 is an apocalyptic number.

14009544115152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14009544115152 is an abundant number, since it is smaller than the sum of its proper divisors (22548197289648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14009544115152 is a wasteful number, since it uses less digits than its factorization.

14009544115152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 14009544115152 in words is "fourteen trillion, nine billion, five hundred forty-four million, one hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 733 822 881 1096 1466 1644 1762 2192 2199 2643 2932 3288 3299 3524 4398 5286 5864 6576 6598 7048 8796 9897 10572 11728 13196 14096 17592 19794 21144 26392 35184 39588 42288 52784 79176 100421 120697 158352 200842 241394 301263 362091 401684 451963 482788 602526 645773 724182 803368 903926 965576 1205052 1291546 1355889 1448364 1606736 1807852 1931152 1937319 2410104 2418167 2583092 2711778 2896728 2906419 3615704 3874638 4820208 4836334 5166184 5423556 5793456 5812838 7231408 7254501 7749276 8719257 9672668 10332368 10847112 11625676 14509002 15498552 17438514 19345336 21694224 23251352 29018004 30997104 34877028 38690672 46502704 58036008 69754056 88470901 116072016 139508112 176941802 265412703 331288879 353883604 398179403 530825406 662577758 707767208 796358806 993866637 1061650812 1194538209 1325155516 1415534416 1592717612 1987733274 2123301624 2130405127 2389076418 2650311032 3185435224 3975466548 4246603248 4260810254 4778152836 5300622064 6370870448 6391215381 7950933096 8521620508 9556305672 12782430762 15901866192 17043241016 19112611344 25564861524 34086482032 51129723048 102259446096 291865502399 583731004798 875596507197 1167462009596 1751193014394 2334924019192 3502386028788 4669848038384 7004772057576 14009544115152