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151355514112 = 2811178213851
BaseRepresentation
bin1000110011110101111…
…1011101110100000000
3112110200020002202122221
42030331133131310000
54434434002422422
6153310505540424
713635505433305
oct2147537356400
9473606082587
10151355514112
115920a272a50
12254007a4714
131137135360a
14747b8030ac
153e0cad83c7
hex233d7ddd00

151355514112 has 144 divisors (see below), whose sum is σ = 349488385344. Its totient is φ = 64655360000.

The previous prime is 151355514103. The next prime is 151355514119. The reversal of 151355514112 is 211415553151.

It is a super-2 number, since 2×1513555141122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151355514119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39300987 + ... + 39304837.

It is an arithmetic number, because the mean of its divisors is an integer number (2427002676).

Almost surely, 2151355514112 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 151355514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174744192672).

151355514112 is an abundant number, since it is smaller than the sum of its proper divisors (198132871232).

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

151355514112 is a wasteful number, since it uses less digits than its factorization.

151355514112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4702 counting only the distinct ones).

The product of its digits is 15000, while the sum is 34.

The spelling of 151355514112 in words is "one hundred fifty-one billion, three hundred fifty-five million, five hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 704 748 821 1088 1408 1496 1642 2176 2816 2992 3284 3851 4352 5984 6568 7702 9031 11968 13136 13957 15404 18062 23936 26272 27914 30808 36124 42361 47872 52544 55828 61616 65467 72248 84722 105088 111656 123232 130934 144496 153527 169444 210176 223312 246464 261868 288992 307054 338888 446624 492928 523736 577984 614108 677776 720137 893248 985856 1047472 1155968 1228216 1355552 1440274 1786496 2094944 2311936 2456432 2711104 2880548 3161671 3572992 4189888 4912864 5422208 5761096 6323342 8379776 9825728 10844416 11522192 12646684 16759552 19651456 23044384 25293368 34778381 39302912 46088768 50586736 53748407 69556762 92177536 101173472 107496814 139113524 184355072 202346944 214993628 278227048 404693888 429987256 556454096 591232477 809387776 859974512 1112908192 1182464954 1719949024 2225816384 2364929908 3439898048 4451632768 4729859816 6879796096 8903265536 9459719632 13759592192 18919439264 37838878528 75677757056 151355514112