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40206268840 = 2351005156721
BaseRepresentation
bin100101011100011110…
…101111100110101000
310211210001012002011011
4211130132233212220
51124320301100330
630245343513304
72622230434453
oct453436574650
9124701162134
1040206268840
1116062432961
127960bb8834
133a39a2302a
141d35b4249a
1510a4b7d82a
hex95c7af9a8

40206268840 has 16 divisors (see below), whose sum is σ = 90464104980. Its totient is φ = 16082507520.

The previous prime is 40206268819. The next prime is 40206268853. The reversal of 40206268840 is 4886260204.

It can be written as a sum of positive squares in 2 ways, for example, as 36748123204 + 3458145636 = 191698^2 + 58806^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1005156721 = 40206268840 / (4 + 0 + 2 + 0 + 6 + 2 + 6 + 8 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 40206268793 and 40206268802.

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, 502578321 + ... + 502578400.

Almost surely, 240206268840 is an apocalyptic number.

40206268840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40206268840 is an abundant number, since it is smaller than the sum of its proper divisors (50257836140).

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

40206268840 is a wasteful number, since it uses less digits than its factorization.

40206268840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005156732 (or 1005156728 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 40206268840 in words is "forty billion, two hundred six million, two hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1005156721 2010313442 4020626884 5025783605 8041253768 10051567210 20103134420 40206268840