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406642264440 = 23353388685537
BaseRepresentation
bin1011110101011011100…
…01001000100101111000
31102212121121011100211220
411322231301020211320
523130300404430230
6510450414552040
741243655134316
oct5725561104570
91385547140756
10406642264440
11147501a58a45
1266987808620
132c4667b0129
14159783db0b6
15a89eaebd10
hex5eadc48978

406642264440 has 32 divisors (see below), whose sum is σ = 1219926793680. Its totient is φ = 108437937152.

The previous prime is 406642264433. The next prime is 406642264447. The reversal of 406642264440 is 44462246604.

It is an interprime number because it is at equal distance from previous prime (406642264433) and next prime (406642264447).

It is a junction number, because it is equal to n+sod(n) for n = 406642264392 and 406642264401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406642264447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1694342649 + ... + 1694342888.

Almost surely, 2406642264440 is an apocalyptic number.

406642264440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406642264440 is an abundant number, since it is smaller than the sum of its proper divisors (813284529240).

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

406642264440 is a wasteful number, since it uses less digits than its factorization.

406642264440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388685551 (or 3388685547 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 406642264440 in words is "four hundred six billion, six hundred forty-two million, two hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3388685537 6777371074 10166056611 13554742148 16943427685 20332113222 27109484296 33886855370 40664226444 50830283055 67773710740 81328452888 101660566110 135547421480 203321132220 406642264440