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14354754156 = 22324371131997
BaseRepresentation
bin11010101111001110…
…00010101001101100
31101001102000001210100
431113213002221230
5213344304113111
610332224111100
71015503253131
oct152747025154
941042001710
1014354754156
1160a6980296
122947465490
131479c6ac92
149a2660588
1559035a756
hex3579c2a6c

14354754156 has 144 divisors (see below), whose sum is σ = 37977907968. Its totient is φ = 4568054400.

The previous prime is 14354754143. The next prime is 14354754209. The reversal of 14354754156 is 65145745341.

It is a happy number.

14354754156 is a `hidden beast` number, since 1 + 4 + 3 + 54 + 7 + 541 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14397450 + ... + 14398446.

It is an arithmetic number, because the mean of its divisors is an integer number (263735472).

Almost surely, 214354754156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14354754156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18988953984).

14354754156 is an abundant number, since it is smaller than the sum of its proper divisors (23623153812).

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

14354754156 is a wasteful number, since it uses less digits than its factorization.

14354754156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1247 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 14354754156 in words is "fourteen billion, three hundred fifty-four million, seven hundred fifty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 71 86 129 131 142 172 213 258 262 284 387 393 426 516 524 639 774 786 852 997 1179 1278 1548 1572 1994 2358 2556 2991 3053 3988 4716 5633 5982 6106 8973 9159 9301 11266 11964 12212 16899 17946 18318 18602 22532 27477 27903 33798 35892 36636 37204 42871 50697 54954 55806 67596 70787 83709 85742 101394 109908 111612 128613 130607 141574 167418 171484 202788 212361 257226 261214 283148 334836 385839 391821 399943 424722 514452 522428 637083 771678 783642 799886 849444 1175463 1199829 1274166 1543356 1567284 1599772 2350926 2399658 2548332 3043841 3599487 4701852 4799316 5616101 6087682 7198974 9131523 9273097 11232202 12175364 14397948 16848303 18263046 18546194 22464404 27394569 27819291 33696606 36526092 37092388 50544909 54789138 55638582 67393212 83457873 101089818 109578276 111277164 166915746 202179636 333831492 398743171 797486342 1196229513 1594972684 2392459026 3588688539 4784918052 7177377078 14354754156