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40137482960 = 245501718537
BaseRepresentation
bin100101011000011000…
…010110001011010000
310211121020202101122222
4211120120112023100
51124200143423320
630234445320212
72620433655521
oct453030261320
9124536671588
1040137482960
1116027621023
127941b66068
133a286bb023
141d2a958848
15109dae2825
hex9586162d0

40137482960 has 20 divisors (see below), whose sum is σ = 93319648068. Its totient is φ = 16054993152.

The previous prime is 40137482933. The next prime is 40137482963. The reversal of 40137482960 is 6928473104.

It can be written as a sum of positive squares in 2 ways, for example, as 9636956224 + 30500526736 = 98168^2 + 174644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×401374829602 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40137482963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250859189 + ... + 250859348.

Almost surely, 240137482960 is an apocalyptic number.

40137482960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40137482960 is an abundant number, since it is smaller than the sum of its proper divisors (53182165108).

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

40137482960 is a wasteful number, since it uses less digits than its factorization.

40137482960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501718550 (or 501718544 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 40137482960 in words is "forty billion, one hundred thirty-seven million, four hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 501718537 1003437074 2006874148 2508592685 4013748296 5017185370 8027496592 10034370740 20068741480 40137482960