Search a number
-
+
31480437456 = 2434132381239
BaseRepresentation
bin11101010100011000…
…010101101011010000
310000020220222220210000
4131110120111223100
51003432442444311
622243435010000
72163054206016
oct352430255320
9100226886700
1031480437456
1112394982666
126126899900
132c78cc80b0
141748cd88b6
15c43aac056
hex754615ad0

31480437456 has 200 divisors, whose sum is σ = 102389696640. Its totient is φ = 9265031424.

The previous prime is 31480437449. The next prime is 31480437467. The reversal of 31480437456 is 65473408413.

It is a super-2 number, since 2×314804374562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 346885 + ... + 428123.

Almost surely, 231480437456 is an apocalyptic number.

31480437456 is a gapful number since it is divisible by the number (36) 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 31480437456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51194848320).

31480437456 is an abundant number, since it is smaller than the sum of its proper divisors (70909259184).

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

31480437456 is a wasteful number, since it uses less digits than its factorization.

31480437456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81295 (or 81280 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 31480437456 in words is "thirty-one billion, four hundred eighty million, four hundred thirty-seven thousand, four hundred fifty-six".