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31139543296 = 284122692
BaseRepresentation
bin11101000000000011…
…111011100100000000
32222101011112200220101
4131000003323210000
51002233210341141
622145540252144
72151444515341
oct350003734400
988334480811
1031139543296
111222a507854
1260506a1054
132c234ac784
14171591c0c8
15c23bc1531
hex7400fb900

31139543296 has 81 divisors (see below), whose sum is σ = 63948181843. Its totient is φ = 15133552640.

The previous prime is 31139543273. The next prime is 31139543299. The reversal of 31139543296 is 69234593113.

The square root of 31139543296 is 176464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24480983296 + 6658560000 = 156464^2 + 81600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31139543299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115760250 + ... + 115760518.

Almost surely, 231139543296 is an apocalyptic number.

31139543296 is the 176464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31139543296

31139543296 is an abundant number, since it is smaller than the sum of its proper divisors (32808638547).

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

31139543296 is an frugal number, since it uses more digits than its factorization.

31139543296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 312 counting only the distinct ones).

The product of its digits is 524880, while the sum is 46.

The spelling of 31139543296 in words is "thirty-one billion, one hundred thirty-nine million, five hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 269 328 538 656 1076 1312 1681 2152 2624 3362 4304 5248 6724 8608 10496 11029 13448 17216 22058 26896 34432 44116 53792 68864 72361 88232 107584 144722 176464 215168 289444 352928 430336 452189 578888 705856 904378 1157776 1411712 1808756 2315552 2823424 2966801 3617512 4631104 5933602 7235024 9262208 11867204 14470048 18524416 23734408 28940096 47468816 57880192 94937632 115760384 121638841 189875264 243277682 379750528 486555364 759501056 973110728 1946221456 3892442912 7784885824 15569771648 31139543296