Search a number
-
+
31424133312 = 26321113381509
BaseRepresentation
bin11101010001000001…
…100011100011000000
310000010000001101000100
4131101001203203000
51003324034231222
622234104122400
72161501504005
oct352101434300
9100100041010
1031424133312
1112366116510
12610ba66400
132c6a443430
14174163d8ac
15c3db894ac
hex7510638c0

31424133312 has 168 divisors, whose sum is σ = 105818665680. Its totient is φ = 8789944320.

The previous prime is 31424133277. The next prime is 31424133313. The reversal of 31424133312 is 21333142413.

It is a happy number.

31424133312 is a `hidden beast` number, since 314 + 2 + 4 + 1 + 33 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31424133313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108387 + ... + 273122.

It is an arithmetic number, because the mean of its divisors is an integer number (629873010).

Almost surely, 231424133312 is an apocalyptic number.

31424133312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31424133312 is an abundant number, since it is smaller than the sum of its proper divisors (74394532368).

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

31424133312 is a wasteful number, since it uses less digits than its factorization.

31424133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381551 (or 381538 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 31424133312 its reverse (21333142413), we get a palindrome (52757275725).

The spelling of 31424133312 in words is "thirty-one billion, four hundred twenty-four million, one hundred thirty-three thousand, three hundred twelve".