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2040342520400 = 24525949785733
BaseRepresentation
bin11101101100001101111…
…001000010001001010000
321020001110222102020010022
4131230031321002021100
5231412110141123100
64201153113123012
7300260406161432
oct35541571021120
97201428366108
102040342520400
11717339185538
1228b5226b9468
1311a532581512
1470a7873c652
1538119ac1e85
hex1db0de42250

2040342520400 has 60 divisors (see below), whose sum is σ = 4902062472252. Its totient is φ = 816113771520.

The previous prime is 2040342520319. The next prime is 2040342520421. The reversal of 2040342520400 is 40252430402.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17416608784 + 2022925911616 = 131972^2 + 1422296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2040342520400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23755934 + ... + 23841666.

Almost surely, 22040342520400 is an apocalyptic number.

2040342520400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040342520400 is an abundant number, since it is smaller than the sum of its proper divisors (2861719951852).

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

2040342520400 is a wasteful number, since it uses less digits than its factorization.

2040342520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145248 (or 145237 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 2040342520400 its reverse (40252430402), we get a palindrome (2080594950802).

The spelling of 2040342520400 in words is "two trillion, forty billion, three hundred forty-two million, five hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 59497 85733 118994 171466 237988 297485 342932 428665 475976 594970 685864 857330 951952 1189940 1371728 1487425 1714660 2143325 2379880 2974850 3429320 4286650 4759760 5949700 6858640 8573300 11899400 17146600 23798800 34293200 5100856301 10201712602 20403425204 25504281505 40806850408 51008563010 81613700816 102017126020 127521407525 204034252040 255042815050 408068504080 510085630100 1020171260200 2040342520400