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256501150270434 = 23232371440210803
BaseRepresentation
bin111010010100100101010011…
…111100100100001111100010
31020122012021022011222101020200
4322110211103330210033202
5232110003323432123214
62305311000211250030
7105012411422414556
oct7224452374441742
91218167264871220
10256501150270434
11748025883a1503
12249277842a9916
13b017c545918b4
14474aa16d07866
151e9c2b4780d09
hexe94953f243e2

256501150270434 has 24 divisors (see below), whose sum is σ = 555769661736432. Its totient is φ = 85497741964440.

The previous prime is 256501150270427. The next prime is 256501150270439. The reversal of 256501150270434 is 434072051105652.

256501150270434 is a `hidden beast` number, since 2 + 5 + 65 + 0 + 1 + 150 + 2 + 7 + 0 + 434 = 666.

256501150270434 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 256501150270434.

It is not an unprimeable number, because it can be changed into a prime (256501150270439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219522724 + ... + 220688079.

It is an arithmetic number, because the mean of its divisors is an integer number (23157069239018).

Almost surely, 2256501150270434 is an apocalyptic number.

256501150270434 is an abundant number, since it is smaller than the sum of its proper divisors (299268511465998).

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

256501150270434 is a wasteful number, since it uses less digits than its factorization.

256501150270434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440243182 (or 440243179 counting only the distinct ones).

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

The spelling of 256501150270434 in words is "two hundred fifty-six trillion, five hundred one billion, one hundred fifty million, two hundred seventy thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 32371 64742 97113 194226 291339 582678 440210803 880421606 1320632409 2641264818 3961897227 7923794454 14250063903913 28500127807826 42750191711739 85500383423478 128250575135217 256501150270434