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3134100144 = 243717548687
BaseRepresentation
bin1011101011001110…
…1001001010110000
322002102100210011010
42322303221022300
522404312201034
61234554350520
7140444261130
oct27263511260
98072323133
103134100144
11136913290a
1273572b440
133ac407336
1421a352ac0
151352323e9
hexbace92b0

3134100144 has 80 divisors (see below), whose sum is σ = 9797372928. Its totient is φ = 842781696.

The previous prime is 3134100139. The next prime is 3134100181. The reversal of 3134100144 is 4410014313.

3134100144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3134100144.

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, 268632 + ... + 280055.

Almost surely, 23134100144 is an apocalyptic number.

3134100144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3134100144 is an abundant number, since it is smaller than the sum of its proper divisors (6663272784).

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

3134100144 is a wasteful number, since it uses less digits than its factorization.

3134100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548722 (or 548716 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3134100144 is about 55983.0344300843. The cubic root of 3134100144 is about 1463.4266395235.

Adding to 3134100144 its reverse (4410014313), we get a palindrome (7544114457).

The spelling of 3134100144 in words is "three billion, one hundred thirty-four million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 548687 1097374 1646061 2194748 3292122 3840809 4389496 6584244 7681618 8778992 9327679 11522427 13168488 15363236 18655358 23044854 26336976 27983037 30726472 37310716 46089708 55966074 61452944 65293753 74621432 92179416 111932148 130587506 149242864 184358832 195881259 223864296 261175012 391762518 447728592 522350024 783525036 1044700048 1567050072 3134100144