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31313031344 = 2472179223129
BaseRepresentation
bin11101001010011001…
…101111000010110000
32222211020222210202122
4131022121233002300
51003112114000334
622215054533412
72155652242400
oct351231570260
988736883678
1031313031344
1112309431a01
12609a807268
132c5041361a
14173099c800
15c3404032e
hex74a66f0b0

31313031344 has 60 divisors (see below), whose sum is σ = 70968727800. Its totient is φ = 13344839424.

The previous prime is 31313031307. The next prime is 31313031361. The reversal of 31313031344 is 44313031313.

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, 28772 + ... + 251900.

It is an arithmetic number, because the mean of its divisors is an integer number (1182812130).

Almost surely, 231313031344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31313031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35484363900).

31313031344 is an abundant number, since it is smaller than the sum of its proper divisors (39655696456).

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

31313031344 is a wasteful number, since it uses less digits than its factorization.

31313031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223330 (or 223317 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 31313031344 its reverse (44313031313), we get a palindrome (75626062657).

The spelling of 31313031344 in words is "thirty-one billion, three hundred thirteen million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 179 196 358 392 716 784 1253 1432 2506 2864 5012 8771 10024 17542 20048 35084 70168 140336 223129 446258 892516 1561903 1785032 3123806 3570064 6247612 10933321 12495224 21866642 24990448 39940091 43733284 79880182 87466568 159760364 174933136 279580637 319520728 559161274 639041456 1118322548 1957064459 2236645096 3914128918 4473290192 7828257836 15656515672 31313031344