Search a number
-
+
31031430304 = 257285323201
BaseRepresentation
bin11100111001100111…
…100000110010100000
32222002122002222202111
4130321213200302200
51002023021232204
622131115125104
72145662543200
oct347147406240
988078088674
1031031430304
1112184484976
126020443794
132c06c882a4
141705418400
15c19467d04
hex7399e0ca0

31031430304 has 72 divisors (see below), whose sum is σ = 71153898228. Its totient is φ = 13283020800.

The previous prime is 31031430293. The next prime is 31031430319. The reversal of 31031430304 is 40303413013.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31028117904 + 3312400 = 176148^2 + 1820^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1325904 + ... + 1349104.

Almost surely, 231031430304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31031430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35576949114).

31031430304 is an abundant number, since it is smaller than the sum of its proper divisors (40122467924).

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

31031430304 is a wasteful number, since it uses less digits than its factorization.

31031430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24078 (or 24063 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 31031430304 its reverse (40303413013), we get a palindrome (71334843317).

The spelling of 31031430304 in words is "thirty-one billion, thirty-one million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 853 1568 1706 3412 5971 6824 11942 13648 23201 23884 27296 41797 46402 47768 83594 92804 95536 162407 167188 185608 191072 324814 334376 371216 649628 668752 742432 1136849 1299256 1337504 2273698 2598512 4547396 5197024 9094792 18189584 19790453 36379168 39580906 79161812 138533171 158323624 277066342 316647248 554132684 633294496 969732197 1108265368 1939464394 2216530736 3878928788 4433061472 7757857576 15515715152 31031430304