Search a number
-
+
14158692874272 = 2532936971375639
BaseRepresentation
bin1100111000001001001111…
…0110111111100000100000
31212010120001122120020100110
43032002103312333200200
53323434000333434042
650040225210051320
72660634415464432
oct316022366774040
955116048506313
1014158692874272
114569739013951
121708071719b40
137b920b45c39b
1436d3da528652
15198477c3e09c
hexce093dbf820

14158692874272 has 96 divisors (see below), whose sum is σ = 38458602403200. Its totient is φ = 4555584811008.

The previous prime is 14158692874237. The next prime is 14158692874283. The reversal of 14158692874272 is 27247829685141.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9604629 + ... + 10980267.

It is an arithmetic number, because the mean of its divisors is an integer number (400610441700).

Almost surely, 214158692874272 is an apocalyptic number.

14158692874272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14158692874272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19229301201600).

14158692874272 is an abundant number, since it is smaller than the sum of its proper divisors (24299909528928).

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

14158692874272 is a wasteful number, since it uses less digits than its factorization.

14158692874272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379378 (or 1379370 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 66.

The spelling of 14158692874272 in words is "fourteen trillion, one hundred fifty-eight billion, six hundred ninety-two million, eight hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 3697 7394 11091 14788 22182 29576 44364 59152 88728 107213 118304 177456 214426 321639 354912 428852 643278 857704 1286556 1375639 1715408 2573112 2751278 3430816 4126917 5146224 5502556 8253834 10292448 11005112 16507668 22010224 33015336 39893531 44020448 66030672 79787062 119680593 132061344 159574124 239361186 319148248 478722372 638296496 957444744 1276592992 1914889488 3829778976 5085737383 10171474766 15257212149 20342949532 30514424298 40685899064 61028848596 81371798128 122057697192 147486384107 162743596256 244115394384 294972768214 442459152321 488230788768 589945536428 884918304642 1179891072856 1769836609284 2359782145712 3539673218568 4719564291424 7079346437136 14158692874272