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131402333121040 = 2451725683491917
BaseRepresentation
bin11101111000001001111101…
…011000110110101000010000
3122020020221101112011220122001
4131320021331120312220100
5114210343434234333130
61143245222023323344
736451335211440622
oct3570117530665020
9566227345156561
10131402333121040
1138961464438923
12128a279b5b0554
13584225765c947
142463c9a5b8c12
15102d12246d6ca
hex77827d636a10

131402333121040 has 60 divisors (see below), whose sum is σ = 324538755501636. Its totient is φ = 49469113636864.

The previous prime is 131402333120987. The next prime is 131402333121043. The reversal of 131402333121040 is 40121333204131.

It can be written as a sum of positive squares in 6 ways, for example, as 31105873725696 + 100296459395344 = 5577264^2 + 10014812^2 .

It is not an unprimeable number, because it can be changed into a prime (131402333121043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2841722839 + ... + 2841769078.

Almost surely, 2131402333121040 is an apocalyptic number.

131402333121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402333121040 is an abundant number, since it is smaller than the sum of its proper divisors (193136422380596).

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

131402333121040 is a wasteful number, since it uses less digits than its factorization.

131402333121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683491964 (or 5683491941 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131402333121040 its reverse (40121333204131), we get a palindrome (171523666325171).

The spelling of 131402333121040 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred thirty-three million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 23120 5683491917 11366983834 22733967668 28417459585 45467935336 56834919170 90935870672 96619362589 113669838340 193238725178 227339676680 386477450356 454679353360 483096812945 772954900712 966193625890 1545909801424 1642529164013 1932387251780 3285058328026 3864774503560 6570116656052 7729549007120 8212645820065 13140233312104 16425291640130 26280466624208 32850583280260 65701166560520 131402333121040