Search a number
-
+
31304413140 = 2235711133714087
BaseRepresentation
bin11101001001111000…
…110110111111010100
32222210122202221210220
4131021320312333110
51003102412210030
622214150114340
72155516056420
oct351170667724
988718687726
1031304413140
1112304585a20
12609794b9b0
132c4b6b69b0
14172d797b80
15c333dba10
hex749e36fd4

31304413140 has 384 divisors, whose sum is σ = 120876392448. Its totient is φ = 5841745920.

The previous prime is 31304413081. The next prime is 31304413169. The reversal of 31304413140 is 4131440313.

It is a self number, because there is not a number n which added to its sum of digits gives 31304413140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2215177 + ... + 2229263.

It is an arithmetic number, because the mean of its divisors is an integer number (314782272).

Almost surely, 231304413140 is an apocalyptic number.

31304413140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31304413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60438196224).

31304413140 is an abundant number, since it is smaller than the sum of its proper divisors (89571979308).

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

31304413140 is a wasteful number, since it uses less digits than its factorization.

31304413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14167 (or 14165 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31304413140 its reverse (4131440313), we get a palindrome (35435853453).

It can be divided in two parts, 31304 and 413140, that added together give a palindrome (444444).

The spelling of 31304413140 in words is "thirty-one billion, three hundred four million, four hundred thirteen thousand, one hundred forty".