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31450894336 = 2121721632
BaseRepresentation
bin11101010010100111…
…101001000000000000
310000011212101222020101
4131102213221000000
51003402412104321
622240501452144
72162245122331
oct352247510000
9100155358211
1031450894336
111237a234464
126118a11054
132c72b53064
141745008288
15c411c3791
hex7529e9000

31450894336 has 117 divisors (see below), whose sum is σ = 67223790921. Its totient is φ = 14709620736.

The previous prime is 31450894333. The next prime is 31450894369. The reversal of 31450894336 is 63349805413.

The square root of 31450894336 is 177344.

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

It can be written as a sum of positive squares in only one way, i.e., 24485990400 + 6964903936 = 156480^2 + 83456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31450894333) 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, 192950191 + ... + 192950353.

Almost surely, 231450894336 is an apocalyptic number.

31450894336 is the 177344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31450894336

31450894336 is an abundant number, since it is smaller than the sum of its proper divisors (35772896585).

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

31450894336 is an frugal number, since it uses more digits than its factorization.

31450894336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 31450894336 in words is "thirty-one billion, four hundred fifty million, eight hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 163 256 272 289 326 512 544 578 652 1024 1088 1156 1304 2048 2176 2312 2608 2771 4096 4352 4624 5216 5542 8704 9248 10432 11084 17408 18496 20864 22168 26569 34816 36992 41728 44336 47107 53138 69632 73984 83456 88672 94214 106276 147968 166912 177344 188428 212552 295936 333824 354688 376856 425104 451673 591872 667648 709376 753712 850208 903346 1183744 1418752 1507424 1700416 1806692 2837504 3014848 3400832 3613384 5675008 6029696 6801664 7226768 7678441 11350016 12059392 13603328 14453536 15356882 24118784 27206656 28907072 30713764 48237568 54413312 57814144 61427528 96475136 108826624 115628288 122855056 192950272 231256576 245710112 462513152 491420224 925026304 982840448 1850052608 1965680896 3931361792 7862723584 15725447168 31450894336