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3850096144 = 242941202381
BaseRepresentation
bin1110010101111011…
…1100111000010000
3100221022122011000111
43211132330320100
530341111034034
61434012531104
7164260164046
oct34536747020
910838564014
103850096144
1116a6308244
128b5480a94
134948574cb
14287492396
15178014364
hexe57bce10

3850096144 has 40 divisors (see below), whose sum is σ = 7905040920. Its totient is φ = 1813324800.

The previous prime is 3850096121. The next prime is 3850096169. The reversal of 3850096144 is 4416900583.

It can be written as a sum of positive squares in 4 ways, for example, as 499075600 + 3351020544 = 22340^2 + 57888^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3850096097 and 3850096106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82167 + ... + 120214.

It is an arithmetic number, because the mean of its divisors is an integer number (197626023).

Almost surely, 23850096144 is an apocalyptic number.

It is an amenable number.

3850096144 is an abundant number, since it is smaller than the sum of its proper divisors (4054944776).

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

3850096144 is a wasteful number, since it uses less digits than its factorization.

3850096144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202459 (or 202453 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 3850096144 is about 62049.1429755480. The cubic root of 3850096144 is about 1567.3182536249.

The spelling of 3850096144 in words is "three billion, eight hundred fifty million, ninety-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2378 4756 9512 19024 202381 404762 809524 1619048 3238096 5869049 8297621 11738098 16595242 23476196 33190484 46952392 66380968 93904784 132761936 240631009 481262018 962524036 1925048072 3850096144