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32313441144 = 2338318019007
BaseRepresentation
bin11110000110000001…
…111111101101111000
310002101222102220000110
4132012001333231320
51012134220104034
622502233104320
72222520501135
oct360601775570
9102358386013
1032313441144
1112782105666
1263198580a0
13307c76519a
1417c77b558c
15c91ca2de9
hex78607fb78

32313441144 has 64 divisors (see below), whose sum is σ = 81811376640. Its totient is φ = 10634284800.

The previous prime is 32313441131. The next prime is 32313441239. The reversal of 32313441144 is 44114431323.

It is a nude number because it is divisible by every one of its digits.

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, 3583089 + ... + 3592095.

It is an arithmetic number, because the mean of its divisors is an integer number (1278302760).

Almost surely, 232313441144 is an apocalyptic number.

It is an amenable number.

32313441144 is an abundant number, since it is smaller than the sum of its proper divisors (49497935496).

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

32313441144 is a wasteful number, since it uses less digits than its factorization.

32313441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10900 (or 10896 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 32313441144 its reverse (44114431323), we get a palindrome (76427872467).

The spelling of 32313441144 in words is "thirty-two billion, three hundred thirteen million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1801 1992 3602 5403 7204 9007 10806 14408 18014 21612 27021 36028 43224 54042 72056 108084 149483 216168 298966 448449 597932 747581 896898 1195864 1495162 1793796 2242743 2990324 3587592 4485486 5980648 8970972 16221607 17941944 32443214 48664821 64886428 97329642 129772856 194659284 389318568 1346393381 2692786762 4039180143 5385573524 8078360286 10771147048 16156720572 32313441144