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42407407644 = 2237618276231
BaseRepresentation
bin100111011111101011…
…011011000000011100
311001110110000111221120
4213133223123000130
51143322244021034
631252013530540
73030616005660
oct473753330034
9131413014846
1042407407644
1116a91970038
1282761a3a50
133ccaa62b24
1420a41d88a0
151183022c49
hex9dfadb01c

42407407644 has 48 divisors (see below), whose sum is σ = 114940310016. Its totient is φ = 11917771200.

The previous prime is 42407407631. The next prime is 42407407657. The reversal of 42407407644 is 44670470424.

It is an interprime number because it is at equal distance from previous prime (42407407631) and next prime (42407407657).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42407407596 and 42407407605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4132992 + ... + 4143239.

It is an arithmetic number, because the mean of its divisors is an integer number (2394589792).

Almost surely, 242407407644 is an apocalyptic number.

It is an amenable number.

42407407644 is an abundant number, since it is smaller than the sum of its proper divisors (72532902372).

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

42407407644 is a wasteful number, since it uses less digits than its factorization.

42407407644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8276306 (or 8276304 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 42.

The spelling of 42407407644 in words is "forty-two billion, four hundred seven million, four hundred seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 8276231 16552462 24828693 33104924 49657386 57933617 99314772 115867234 173800851 231734468 347601702 504850091 695203404 1009700182 1514550273 2019400364 3029100546 3533950637 6058201092 7067901274 10601851911 14135802548 21203703822 42407407644