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40000407034037 = 3741241710909433
BaseRepresentation
bin10010001100001010100100…
…00011010101100010110101
312020122000001010211111001012
421012011102003111202311
520220331313200042122
6221023533332242005
711265635242552622
oct1106052203254265
9166560033744035
1040000407034037
1111822093a6483a
1245a041b470305
1319420399cc8c8
149c405c591349
1549578081e7e2
hex2461520d58b5

40000407034037 has 16 divisors (see below), whose sum is σ = 42100902213552. Its totient is φ = 37954350305280.

The previous prime is 40000407034019. The next prime is 40000407034121. The reversal of 40000407034037 is 73043070400004.

It can be written as a sum of positive squares in 8 ways, for example, as 678302135281 + 39322104898756 = 823591^2 + 6270734^2 .

It is a cyclic number.

It is not a de Polignac number, because 40000407034037 - 214 = 40000407017653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40000407033994 and 40000407034012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40000407034837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1788128 + ... + 9121305.

It is an arithmetic number, because the mean of its divisors is an integer number (2631306388347).

Almost surely, 240000407034037 is an apocalyptic number.

It is an amenable number.

40000407034037 is a deficient number, since it is larger than the sum of its proper divisors (2100495179515).

40000407034037 is a wasteful number, since it uses less digits than its factorization.

40000407034037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10911928.

The product of its (nonzero) digits is 28224, while the sum is 32.

The spelling of 40000407034037 in words is "forty trillion, four hundred seven million, thirty-four thousand, thirty-seven".

Divisors: 1 37 41 1517 2417 89429 99097 3666589 10909433 403649021 447286753 16549609861 26368099561 975619683757 1081092082001 40000407034037