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1310404144 = 24724374801
BaseRepresentation
bin100111000011011…
…0010111000110000
310101022202102112211
41032012302320300
510140430413034
6334010301504
744321152150
oct11606627060
93338672484
101310404144
11612764035
12306a27894
1317b63b78a
14c606c760
157a097d64
hex4e1b2e30

1310404144 has 40 divisors (see below), whose sum is σ = 2903404448. Its totient is φ = 561254400.

The previous prime is 1310404127. The next prime is 1310404153. The reversal of 1310404144 is 4414040131.

It is a super-2 number, since 2×13104041442 = 3434318041224745472, which contains 22 as substring.

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, 270544 + ... + 275344.

Almost surely, 21310404144 is an apocalyptic number.

1310404144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1310404144 is an abundant number, since it is smaller than the sum of its proper divisors (1593000304).

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

1310404144 is a wasteful number, since it uses less digits than its factorization.

1310404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1310404144 is about 36199.5047479934. The cubic root of 1310404144 is about 1094.2966909067.

Adding to 1310404144 its reverse (4414040131), we get a palindrome (5724444275).

The spelling of 1310404144 in words is "one billion, three hundred ten million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 2437 4801 4874 9602 9748 17059 19204 19496 33607 34118 38408 38992 67214 68236 76816 134428 136472 268856 272944 537712 11700037 23400074 46800148 81900259 93600296 163800518 187200592 327601036 655202072 1310404144