Search a number
-
+
31343141808 = 24341117235623
BaseRepresentation
bin11101001100001100…
…100110001110110000
32222220100122120120000
4131030030212032300
51003142321014213
622222052150000
72156466211116
oct351414461660
988810576500
1031343141808
1112324428390
1260a8908300
132c56726974
141734999ab6
15c369dbc73
hex74c3263b0

31343141808 has 400 divisors, whose sum is σ = 109359714816. Its totient is φ = 8549038080.

The previous prime is 31343141803. The next prime is 31343141833. The reversal of 31343141808 is 80814134313.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31343141803) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5571285 + ... + 5576907.

Almost surely, 231343141808 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 31343141808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54679857408).

31343141808 is an abundant number, since it is smaller than the sum of its proper divisors (78016573008).

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

31343141808 is a wasteful number, since it uses less digits than its factorization.

31343141808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 31343141808 in words is "thirty-one billion, three hundred forty-three million, one hundred forty-one thousand, eight hundred eight".