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151411104 = 253213371093
BaseRepresentation
bin10010000011001…
…01100110100000
3101112220110222200
421001211212200
5302230123404
623005133200
73515654535
oct1101454640
9345813880
10151411104
1178516449
124285a200
13254a4290
1416174d8c
15d45c839
hex90659a0

151411104 has 144 divisors (see below), whose sum is σ = 476664552. Its totient is φ = 45287424.

The previous prime is 151411087. The next prime is 151411123. The reversal of 151411104 is 401114151.

151411104 is a `hidden beast` number, since 151 + 411 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151290000 + 121104 = 12300^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137982 + ... + 139074.

Almost surely, 2151411104 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 151411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238332276).

151411104 is an abundant number, since it is smaller than the sum of its proper divisors (325253448).

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

151411104 is a wasteful number, since it uses less digits than its factorization.

151411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 151411104 is about 12304.9219420523. The cubic root of 151411104 is about 532.9902223683.

Adding to 151411104 its reverse (401114151), we get a palindrome (552525255).

The spelling of 151411104 in words is "one hundred fifty-one million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 72 74 78 96 104 111 117 144 148 156 208 222 234 288 296 312 333 416 444 468 481 592 624 666 888 936 962 1093 1184 1248 1332 1443 1776 1872 1924 2186 2664 2886 3279 3552 3744 3848 4329 4372 5328 5772 6558 7696 8658 8744 9837 10656 11544 13116 14209 15392 17316 17488 19674 23088 26232 28418 34632 34976 39348 40441 42627 46176 52464 56836 69264 78696 80882 85254 104928 113672 121323 127881 138528 157392 161764 170508 227344 242646 255762 314784 323528 341016 363969 454688 485292 511524 525733 647056 682032 727938 970584 1023048 1051466 1294112 1364064 1455876 1577199 1941168 2046096 2102932 2911752 3154398 3882336 4092192 4205864 4731597 5823504 6308796 8411728 9463194 11647008 12617592 16823456 18926388 25235184 37852776 50470368 75705552 151411104