Search a number
-
+
31444252728 = 2337187168171
BaseRepresentation
bin11101010010001110…
…010011100000111000
310000011101220112122220
4131102032103200320
51003344212041403
622240103244040
72162134511130
oct352216234070
9100141815586
1031444252728
1112376508529
126116749620
132c71669005
141744199ac0
15c40810953
hex752393838

31444252728 has 32 divisors (see below), whose sum is σ = 89840722560. Its totient is φ = 8984072160.

The previous prime is 31444252727. The next prime is 31444252769. The reversal of 31444252728 is 82725244413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 31444252728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444252727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93583918 + ... + 93584253.

It is an arithmetic number, because the mean of its divisors is an integer number (2807522580).

Almost surely, 231444252728 is an apocalyptic number.

It is an amenable number.

31444252728 is an abundant number, since it is smaller than the sum of its proper divisors (58396469832).

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

31444252728 is a wasteful number, since it uses less digits than its factorization.

31444252728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187168187 (or 187168183 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The spelling of 31444252728 in words is "thirty-one billion, four hundred forty-four million, two hundred fifty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 187168171 374336342 561504513 748672684 1123009026 1310177197 1497345368 2246018052 2620354394 3930531591 4492036104 5240708788 7861063182 10481417576 15722126364 31444252728