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241540165126404 = 223231216433839719
BaseRepresentation
bin110110111010110111110011…
…101111011100100100000100
31011200020000101101222000221200
4312322313303233130210010
5223124343224233021104
62213414004153342500
7101606462314060644
oct6672676357344404
91150200341860850
10241540165126404
116aa64677302751
1223110128707a30
13a4a11a82b9411
14439086bc3c524
151cdd0323a8b39
hexdbadf3bdc904

241540165126404 has 36 divisors (see below), whose sum is σ = 630255341264640. Its totient is φ = 77916182298480.

The previous prime is 241540165126391. The next prime is 241540165126417. The reversal of 241540165126404 is 404621561045142.

241540165126404 is a `hidden beast` number, since 2 + 4 + 1 + 540 + 1 + 65 + 1 + 2 + 6 + 40 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (241540165126391) and next prime (241540165126417).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2415401651264042 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241540165126404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108216918744 + ... + 108216920975.

Almost surely, 2241540165126404 is an apocalyptic number.

It is an amenable number.

241540165126404 is an abundant number, since it is smaller than the sum of its proper divisors (388715176138236).

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

241540165126404 is a wasteful number, since it uses less digits than its factorization.

241540165126404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216433839760 (or 216433839755 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 241540165126404 in words is "two hundred forty-one trillion, five hundred forty billion, one hundred sixty-five million, one hundred twenty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 216433839719 432867679438 649301519157 865735358876 1298603038314 1947904557471 2597206076628 3895809114942 6709449031289 7791618229884 13418898062578 20128347093867 26837796125156 40256694187734 60385041281601 80513388375468 120770082563202 241540165126404