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241954301968 = 24291274105931
BaseRepresentation
bin1110000101010110011…
…0011010100000010000
3212010112012201001022021
43201111212122200100
512431010300130333
6303052520221224
723323565430121
oct3412546324020
9763465631267
10241954301968
1193680994235
123aa8600a814
1319a7c238822
14b9d4050048
1564617e382d
hex385599a810

241954301968 has 40 divisors (see below), whose sum is σ = 488770145280. Its totient is φ = 115885768320.

The previous prime is 241954301947. The next prime is 241954302043. The reversal of 241954301968 is 869103459142.

241954301968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1994038 + ... + 2111893.

It is an arithmetic number, because the mean of its divisors is an integer number (12219253632).

Almost surely, 2241954301968 is an apocalyptic number.

It is an amenable number.

241954301968 is an abundant number, since it is smaller than the sum of its proper divisors (246815843312).

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

241954301968 is a wasteful number, since it uses less digits than its factorization.

241954301968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106095 (or 4106089 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 241954301968 in words is "two hundred forty-one billion, nine hundred fifty-four million, three hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 127 232 254 464 508 1016 2032 3683 7366 14732 29464 58928 4105931 8211862 16423724 32847448 65694896 119071999 238143998 476287996 521453237 952575992 1042906474 1905151984 2085812948 4171625896 8343251792 15122143873 30244287746 60488575492 120977150984 241954301968