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14042140040 = 2351201292301
BaseRepresentation
bin11010001001111101…
…00000110110001000
31100020121202121211202
431010332200312020
5212224241440130
610241215443332
71004656135535
oct150476406610
940217677752
1014042140040
115a56470715
12287a826548
13142a274806
14972d25d8c
15572ba9145
hex344fa0d88

14042140040 has 32 divisors (see below), whose sum is σ = 31621230360. Its totient is φ = 5612160000.

The previous prime is 14042140027. The next prime is 14042140043. The reversal of 14042140040 is 4004124041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8537390404 + 5504749636 = 92398^2 + 74194^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14042139994 and 14042140021.

It is not an unprimeable number, because it can be changed into a prime (14042140043) 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, 98111 + ... + 194190.

Almost surely, 214042140040 is an apocalyptic number.

14042140040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042140040 is an abundant number, since it is smaller than the sum of its proper divisors (17579090320).

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

14042140040 is a wasteful number, since it uses less digits than its factorization.

14042140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293513 (or 293509 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14042140040 its reverse (4004124041), we get a palindrome (18046264081).

The spelling of 14042140040 in words is "fourteen billion, forty-two million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1201 2402 4804 6005 9608 12010 24020 48040 292301 584602 1169204 1461505 2338408 2923010 5846020 11692040 351053501 702107002 1404214004 1755267505 2808428008 3510535010 7021070020 14042140040