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13412277144 = 2332726611661
BaseRepresentation
bin11000111110110111…
…10001101110011000
31021121201120021101100
430133123301232120
5204432020332034
610054515351400
7653240321550
oct143733615630
937551507340
1013412277144
115762976372
1227238b2560
131359921486
14913408160
1553773d099
hex31f6f1b98

13412277144 has 48 divisors (see below), whose sum is σ = 41514192720. Its totient is φ = 3832079040.

The previous prime is 13412277139. The next prime is 13412277157. The reversal of 13412277144 is 44177221431.

13412277144 is a `hidden beast` number, since 1 + 341 + 2 + 277 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13412277099 and 13412277108.

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, 13305327 + ... + 13306334.

It is an arithmetic number, because the mean of its divisors is an integer number (864879015).

Almost surely, 213412277144 is an apocalyptic number.

13412277144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13412277144 is an abundant number, since it is smaller than the sum of its proper divisors (28101915576).

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

13412277144 is a wasteful number, since it uses less digits than its factorization.

13412277144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26611680 (or 26611673 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

Adding to 13412277144 its reverse (44177221431), we get a palindrome (57589498575).

The spelling of 13412277144 in words is "thirteen billion, four hundred twelve million, two hundred seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 26611661 53223322 79834983 106446644 159669966 186281627 212893288 239504949 319339932 372563254 479009898 558844881 638679864 745126508 958019796 1117689762 1490253016 1676534643 1916039592 2235379524 3353069286 4470759048 6706138572 13412277144