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844540008040 = 235157134480893
BaseRepresentation
bin11000100101000101000…
…00011101011001101000
32222201220110000120201001
430102202200131121220
5102314104220224130
61443550515204344
7115005326423611
oct14224240353150
92881813016631
10844540008040
112a61928a9aa3
121178168a66b4
13618417a2b11
142cc39894c08
1516e7d66b6ca
hexc4a281d668

844540008040 has 32 divisors (see below), whose sum is σ = 1912318312680. Its totient is φ = 335664306432.

The previous prime is 844540008019. The next prime is 844540008079. The reversal of 844540008040 is 40800045448.

It can be written as a sum of positive squares in 4 ways, for example, as 791327668356 + 53212339684 = 889566^2 + 230678^2 .

It is a super-3 number, since 3×8445400080403 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67234167 + ... + 67246726.

Almost surely, 2844540008040 is an apocalyptic number.

It is an amenable number.

844540008040 is an abundant number, since it is smaller than the sum of its proper divisors (1067778304640).

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

844540008040 is a wasteful number, since it uses less digits than its factorization.

844540008040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134481061 (or 134481057 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The spelling of 844540008040 in words is "eight hundred forty-four billion, five hundred forty million, eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 134480893 268961786 537923572 672404465 1075847144 1344808930 2689617860 5379235720 21113500201 42227000402 84454000804 105567501005 168908001608 211135002010 422270004020 844540008040