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31456214881 = 7213219492
BaseRepresentation
bin11101010010111011…
…111011111101100001
310000012020102021122121
4131102323323331201
51003410242334011
622241211504241
72162341262200
oct352273737541
9100166367577
1031456214881
1112382238903
12611a758081
132c73c96a00
1417459d1237
15c418c4e71
hex752efbf61

31456214881 has 27 divisors (see below), whose sum is σ = 39643547481. Its totient is φ = 24875663904.

The previous prime is 31456214863. The next prime is 31456214893. The reversal of 31456214881 is 18841265413.

The square root of 31456214881 is 177359.

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 121550625 + 31334664256 = 11025^2 + 177016^2 .

It is not a de Polignac number, because 31456214881 - 213 = 31456206689 is a prime.

It is a super-2 number, since 2×314562148812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31456214821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16138695 + ... + 16140643.

Almost surely, 231456214881 is an apocalyptic number.

31456214881 is the 177359-th square number.

31456214881 is the 88680-th centered octagonal number.

It is an amenable number.

31456214881 is a deficient number, since it is larger than the sum of its proper divisors (8187332600).

31456214881 is an frugal number, since it uses more digits than its factorization.

31456214881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 1969 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The spelling of 31456214881 in words is "thirty-one billion, four hundred fifty-six million, two hundred fourteen thousand, eight hundred eighty-one".

Divisors: 1 7 13 49 91 169 637 1183 1949 8281 13643 25337 95501 177359 329381 1241513 2305667 3798601 16139669 26590207 49381813 186131449 345672691 641963569 2419708837 4493744983 31456214881