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10042140040 = 2351714767853
BaseRepresentation
bin10010101101000111…
…01110010110001000
3221220212001120101121
421112203232112020
5131031241440130
64340245525024
7503565532132
oct112643562610
927825046347
1010042140040
114293587499
121b43113774
13c406530ca
146b39b2052
153db933d7a
hex2568ee588

10042140040 has 32 divisors (see below), whose sum is σ = 23923923480. Its totient is φ = 3780570112.

The previous prime is 10042140007. The next prime is 10042140047. The reversal of 10042140040 is 4004124001.

It can be written as a sum of positive squares in 4 ways, for example, as 10011603364 + 30536676 = 100058^2 + 5526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10042139996 and 10042140023.

It is not an unprimeable number, because it can be changed into a prime (10042140047) 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, 7383247 + ... + 7384606.

Almost surely, 210042140040 is an apocalyptic number.

10042140040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042140040 is an abundant number, since it is smaller than the sum of its proper divisors (13881783440).

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

10042140040 is a wasteful number, since it uses less digits than its factorization.

10042140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14767881 (or 14767877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10042140040 its reverse (4004124001), we get a palindrome (14046264041).

The spelling of 10042140040 in words is "ten billion, forty-two million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 14767853 29535706 59071412 73839265 118142824 147678530 251053501 295357060 502107002 590714120 1004214004 1255267505 2008428008 2510535010 5021070020 10042140040