Search a number
-
+
31190712448 = 27724973009
BaseRepresentation
bin11101000011000111…
…001000000010000000
32222111201211100210011
4131003013020002000
51002334310244243
622155005114304
72152635452500
oct350307100200
988451740704
1031190712448
1112256386a05
126065858994
132c30c8708c
14171c63ba00
15c2842c89d
hex7431c8080

31190712448 has 48 divisors (see below), whose sum is σ = 72282700350. Its totient is φ = 13367445504.

The previous prime is 31190712433. The next prime is 31190712451. The reversal of 31190712448 is 84421709113.

It can be written as a sum of positive squares in only one way, i.e., 16922887744 + 14267824704 = 130088^2 + 119448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31190712448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2480233 + ... + 2492776.

Almost surely, 231190712448 is an apocalyptic number.

It is an amenable number.

31190712448 is an abundant number, since it is smaller than the sum of its proper divisors (41091987902).

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

31190712448 is an equidigital number, since it uses as much as digits as its factorization.

31190712448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973037 (or 4973018 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 31190712448 in words is "thirty-one billion, one hundred ninety million, seven hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 4973009 9946018 19892036 34811063 39784072 69622126 79568144 139244252 159136288 243677441 278488504 318272576 487354882 556977008 636545152 974709764 1113954016 1949419528 2227908032 3898839056 4455816064 7797678112 15595356224 31190712448