Search a number
-
+
31555236240 = 243251133112037
BaseRepresentation
bin11101011000110101…
…101011000110010000
310000110010202002102100
4131120311223012100
51004111120024430
622255110120400
72164653040203
oct353065530620
9100403662370
1031555236240
1112423121040
126147950100
132c8b656c28
141754c0993a
15c4a434960
hex758d6b190

31555236240 has 240 divisors, whose sum is σ = 115965809856. Its totient is φ = 7626009600.

The previous prime is 31555236221. The next prime is 31555236253. The reversal of 31555236240 is 4263255513.

31555236240 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 5 + 23 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 31555236195 and 31555236204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2615502 + ... + 2627538.

Almost surely, 231555236240 is an apocalyptic number.

31555236240 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 31555236240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57982904928).

31555236240 is an abundant number, since it is smaller than the sum of its proper divisors (84410573616).

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

31555236240 is a wasteful number, since it uses less digits than its factorization.

31555236240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12389 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 31555236240 in words is "thirty-one billion, five hundred fifty-five million, two hundred thirty-six thousand, two hundred forty".