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131443041100240 = 24513469121986637
BaseRepresentation
bin11101111000101111110111…
…110001011110000111010000
3122020101211110112102112000101
4131320233313301132013100
5114212030322010201430
61143320033252502144
736454306043525002
oct3570576761360720
9566354415375011
10131443041100240
1138977753a96141
12128aa66061a954
1358460442b63bc
142465c3cbda372
15102e2061a1dca
hex778bf7c5e1d0

131443041100240 has 40 divisors (see below), whose sum is σ = 305627762577960. Its totient is φ = 52573312436736.

The previous prime is 131443041100153. The next prime is 131443041100289. The reversal of 131443041100240 is 42001140344131.

It can be written as a sum of positive squares in 4 ways, for example, as 2033487408016 + 129409553692224 = 1426004^2 + 11375832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131443041100199 and 131443041100208.

It is a congruent number.

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, 59915799 + ... + 62070838.

It is an arithmetic number, because the mean of its divisors is an integer number (7640694064449).

Almost surely, 2131443041100240 is an apocalyptic number.

131443041100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131443041100240 is an abundant number, since it is smaller than the sum of its proper divisors (174184721477720).

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

131443041100240 is a wasteful number, since it uses less digits than its factorization.

131443041100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122000119 (or 122000113 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131443041100240 its reverse (42001140344131), we get a palindrome (173444181444371).

The spelling of 131443041100240 in words is "one hundred thirty-one trillion, four hundred forty-three billion, forty-one million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13469 26938 53876 67345 107752 134690 215504 269380 538760 1077520 121986637 243973274 487946548 609933185 975893096 1219866370 1951786192 2439732740 4879465480 9758930960 1643038013753 3286076027506 6572152055012 8215190068765 13144304110024 16430380137530 26288608220048 32860760275060 65721520550120 131443041100240