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13412131452 = 22325311036373
BaseRepresentation
bin11000111110110110…
…01110001001111100
31021121201021212112100
430133123032021330
5204432001201302
610054512305100
7653236144026
oct143733161174
937551255470
1013412131452
115762886965
122723842190
1313598a0075
149133ab016
1553770ed1c
hex31f6ce27c

13412131452 has 72 divisors (see below), whose sum is σ = 34579306944. Its totient is φ = 4381693056.

The previous prime is 13412131451. The next prime is 13412131459. The reversal of 13412131452 is 25413121431.

13412131452 is a `hidden beast` number, since 1 + 341 + 2 + 1 + 314 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412131451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101338 + ... + 2107710.

It is an arithmetic number, because the mean of its divisors is an integer number (480268152).

Almost surely, 213412131452 is an apocalyptic number.

13412131452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412131452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17289653472).

13412131452 is an abundant number, since it is smaller than the sum of its proper divisors (21167175492).

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

13412131452 is a wasteful number, since it uses less digits than its factorization.

13412131452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7534 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 13412131452 its reverse (25413121431), we get a palindrome (38825252883).

The spelling of 13412131452 in words is "thirteen billion, four hundred twelve million, one hundred thirty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1103 1908 2206 3309 4412 6373 6618 9927 12746 13236 19119 19854 25492 38238 39708 57357 58459 76476 114714 116918 175377 229428 233836 337769 350754 526131 675538 701508 1013307 1052262 1351076 2026614 2104524 3039921 4053228 6079842 7029419 12159684 14058838 21088257 28117676 42176514 63264771 84353028 126529542 253059084 372559207 745118414 1117677621 1490236828 2235355242 3353032863 4470710484 6706065726 13412131452