Search a number
-
+
31404651840 = 2632571383401
BaseRepresentation
bin11101001111110111…
…001111010101000000
310000001122101121110100
4131033313033111000
51003304042324330
622232130402400
72161144064502
oct351767172500
9100048347410
1031404651840
111235611a821
126105430400
132c663b2033
14173cc0bd72
15c3c0dc060
hex74fdcf540

31404651840 has 336 divisors, whose sum is σ = 110100197376. Its totient is φ = 8214528000.

The previous prime is 31404651827. The next prime is 31404651893. The reversal of 31404651840 is 4815640413.

31404651840 is a `hidden beast` number, since 3 + 14 + 0 + 465 + 184 + 0 = 666.

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 = 31404651795 and 31404651804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78315640 + ... + 78316040.

Almost surely, 231404651840 is an apocalyptic number.

31404651840 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 31404651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55050098688).

31404651840 is an abundant number, since it is smaller than the sum of its proper divisors (78695545536).

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

31404651840 is a wasteful number, since it uses less digits than its factorization.

31404651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 31404651840 in words is "thirty-one billion, four hundred four million, six hundred fifty-one thousand, eight hundred forty".