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40824274240 = 265127575857
BaseRepresentation
bin100110000001010100…
…001111110101000000
310220101010002000012001
4212001110033311000
51132102003233430
630430541513344
72643443414461
oct460124176500
9126333060161
1040824274240
111634a269522
127ab3b72854
133b07a841b9
141d93c54d68
1510de0563ca
hex98150fd40

40824274240 has 28 divisors (see below), whose sum is σ = 97212803796. Its totient is φ = 16329709568.

The previous prime is 40824274229. The next prime is 40824274259. The reversal of 40824274240 is 4247242804.

It can be written as a sum of positive squares in 2 ways, for example, as 25093094464 + 15731179776 = 158408^2 + 125424^2 .

It is a super-3 number, since 3×408242742403 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40824274240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63787609 + ... + 63788248.

Almost surely, 240824274240 is an apocalyptic number.

40824274240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40824274240 is an abundant number, since it is smaller than the sum of its proper divisors (56388529556).

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

40824274240 is a wasteful number, since it uses less digits than its factorization.

40824274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127575874 (or 127575864 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 37.

The spelling of 40824274240 in words is "forty billion, eight hundred twenty-four million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 127575857 255151714 510303428 637879285 1020606856 1275758570 2041213712 2551517140 4082427424 5103034280 8164854848 10206068560 20412137120 40824274240