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31051051344 = 24321712684253
BaseRepresentation
bin11100111010110010…
…010111000101010000
32222011000000211202200
4130322302113011100
51002043032120334
622133055443200
72146321403325
oct347262270520
988130024680
1031051051344
1112194566505
126026b26500
132c0b068081
141707c84b4c
15c1b041799
hex73ac97150

31051051344 has 60 divisors (see below), whose sum is σ = 92011578516. Its totient is φ = 9741505536.

The previous prime is 31051051277. The next prime is 31051051373. The reversal of 31051051344 is 44315015013.

It is a happy number.

31051051344 is a `hidden beast` number, since 3 + 10 + 510 + 5 + 134 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23229417744 + 7821633600 = 152412^2 + 88440^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6339679 + ... + 6344574.

Almost surely, 231051051344 is an apocalyptic number.

31051051344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31051051344 is an abundant number, since it is smaller than the sum of its proper divisors (60960527172).

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

31051051344 is a wasteful number, since it uses less digits than its factorization.

31051051344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684284 (or 12684275 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 31051051344 its reverse (44315015013), we get a palindrome (75366066357).

The spelling of 31051051344 in words is "thirty-one billion, fifty-one million, fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 12684253 25368506 38052759 50737012 76105518 101474024 114158277 152211036 202948048 215632301 228316554 304422072 431264602 456633108 608844144 646896903 862529204 913266216 1293793806 1725058408 1826532432 1940690709 2587587612 3450116816 3881381418 5175175224 7762762836 10350350448 15525525672 31051051344