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31342044144 = 2437937322159
BaseRepresentation
bin11101001100001000…
…011010001111110000
32222220021120210211210
4131030020122033300
51003142030403034
622222012440120
72156453656665
oct351410321760
988807523753
1031342044144
1112323848724
1260a8479040
132c56431168
141734791a6c
15c368718e9
hex74c21a3f0

31342044144 has 80 divisors (see below), whose sum is σ = 82215372800. Its totient is φ = 10286984448.

The previous prime is 31342044053. The next prime is 31342044193. The reversal of 31342044144 is 44144024313.

It is a super-2 number, since 2×313420441442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 1403337 + ... + 1425495.

It is an arithmetic number, because the mean of its divisors is an integer number (1027692160).

Almost surely, 231342044144 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 31342044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41107686400).

31342044144 is an abundant number, since it is smaller than the sum of its proper divisors (50873328656).

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

31342044144 is a wasteful number, since it uses less digits than its factorization.

31342044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22622 (or 22616 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 31342044144 its reverse (44144024313), we get a palindrome (75486068457).

The spelling of 31342044144 in words is "thirty-one billion, three hundred forty-two million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 373 474 632 746 948 1119 1264 1492 1896 2238 2984 3792 4476 5968 8952 17904 22159 29467 44318 58934 66477 88401 88636 117868 132954 176802 177272 235736 265908 353604 354544 471472 531816 707208 1063632 1414416 1750561 3501122 5251683 7002244 8265307 10503366 14004488 16530614 21006732 24795921 28008976 33061228 42013464 49591842 66122456 84026928 99183684 132244912 198367368 396734736 652959253 1305918506 1958877759 2611837012 3917755518 5223674024 7835511036 10447348048 15671022072 31342044144