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131413040225550 = 23252292028978279
BaseRepresentation
bin11101111000010011111011…
…100101001101110100001110
3122020021222000201111011210100
4131320103323211031310032
5114211032401244204200
61143254152305551530
736452164433354016
oct3570237345156416
9566258021434710
10131413040225550
1138965a59304a26
12128a48893455a6
1358432729a6145
1424645d4604c46
15102d54c453d00
hex7784fb94dd0e

131413040225550 has 36 divisors (see below), whose sum is σ = 353063034740520. Its totient is φ = 35043477393360.

The previous prime is 131413040225543. The next prime is 131413040225557. The reversal of 131413040225550 is 55522040314131.

131413040225550 is a `hidden beast` number, since 1 + 3 + 1 + 41 + 3 + 0 + 40 + 2 + 25 + 550 = 666.

It is an interprime number because it is at equal distance from previous prime (131413040225543) and next prime (131413040225557).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413040225557) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 146014488690 + ... + 146014489589.

It is an arithmetic number, because the mean of its divisors is an integer number (9807306520570).

Almost surely, 2131413040225550 is an apocalyptic number.

131413040225550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131413040225550 is an abundant number, since it is smaller than the sum of its proper divisors (221649994514970).

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

131413040225550 is a wasteful number, since it uses less digits than its factorization.

131413040225550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292028978297 (or 292028978289 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 131413040225550 its reverse (55522040314131), we get a palindrome (186935080539681).

The spelling of 131413040225550 in words is "one hundred thirty-one trillion, four hundred thirteen billion, forty million, two hundred twenty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 292028978279 584057956558 876086934837 1460144891395 1752173869674 2628260804511 2920289782790 4380434674185 5256521609022 7300724456975 8760869348370 13141304022555 14601448913950 21902173370925 26282608045110 43804346741850 65706520112775 131413040225550