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155405431880 = 23553277264637
BaseRepresentation
bin1001000010111011100…
…0101011010001001000
3112212010110201220102022
42100232320223101020
510021232242310010
6155220421424012
714141043242606
oct2205670532110
9485113656368
10155405431880
115a9a8351126
1226150b6b008
1311868401b6a
14774362c876
15409841dd55
hex242ee2b448

155405431880 has 64 divisors (see below), whose sum is σ = 357547109040. Its totient is φ = 60768893952.

The previous prime is 155405431877. The next prime is 155405431931. The reversal of 155405431880 is 88134504551.

It can be written as a sum of positive squares in 8 ways, for example, as 110331594244 + 45073837636 = 332162^2 + 212306^2 .

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, 454922 + ... + 719558.

Almost surely, 2155405431880 is an apocalyptic number.

155405431880 is a gapful number since it is divisible by the number (10) 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 155405431880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178773554520).

155405431880 is an abundant number, since it is smaller than the sum of its proper divisors (202141677160).

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

155405431880 is a wasteful number, since it uses less digits than its factorization.

155405431880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264978 (or 264974 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 44.

The spelling of 155405431880 in words is "one hundred fifty-five billion, four hundred five million, four hundred thirty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 277 424 530 554 1060 1108 1385 2120 2216 2770 5540 11080 14681 29362 58724 73405 117448 146810 264637 293620 529274 587240 1058548 1323185 2117096 2646370 5292740 10585480 14025761 28051522 56103044 70128805 73304449 112206088 140257610 146608898 280515220 293217796 366522245 561030440 586435592 733044490 1466088980 2932177960 3885135797 7770271594 15540543188 19425678985 31081086376 38851357970 77702715940 155405431880