Search a number
-
+
31150731088656 = 24324651072
BaseRepresentation
bin1110001010100110110000…
…10000101101001100010000
311002021222111000020211221100
413011103120100231030100
513040333144124314111
6150130240500024400
76363365104302264
oct705233020551420
9132258430224840
1031150731088656
119a1aa506688a3
1235b1278992100
13144c66958cc7a
147999bc2d20a4
1539047e3d3756
hex1c54d842d310

31150731088656 has 45 divisors (see below), whose sum is σ = 87178969582471. Its totient is φ = 10383554704416.

The previous prime is 31150731088639. The next prime is 31150731088657. The reversal of 31150731088656 is 65688013705113.

It is a happy number.

The square root of 31150731088656 is 5581284.

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

31150731088656 is a `hidden beast` number, since 3 + 1 + 1 + 507 + 3 + 1 + 0 + 8 + 86 + 56 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31150731088657) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66742855 + ... + 67207961.

Almost surely, 231150731088656 is an apocalyptic number.

31150731088656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31150731088656 is the 5581284-th square number.

It is an amenable number.

31150731088656 is an abundant number, since it is smaller than the sum of its proper divisors (56028238493815).

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

31150731088656 is an frugal number, since it uses more digits than its factorization.

31150731088656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930228 (or 465112 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 31150731088656 in words is "thirty-one trillion, one hundred fifty billion, seven hundred thirty-one million, eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 465107 930214 1395321 1860428 2790642 3720856 4185963 5581284 7441712 8371926 11162568 16743852 22325136 33487704 66975408 216324521449 432649042898 648973564347 865298085796 1297947128694 1730596171592 1946920693041 2595894257388 3461192343184 3893841386082 5191788514776 7787682772164 10383577029552 15575365544328 31150731088656