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402144502131 = 324110710185257
BaseRepresentation
bin1011101101000011010…
…11100010000101110011
31102110000010211100212200
411312201223202011303
523042042443032011
6504424224154243
741024341603551
oct5664153420563
91373003740780
10402144502131
111456040a6609
1265b31468983
132bbcaa0b008
141566cd14bd1
15a6d9d01856
hex5da1ae2173

402144502131 has 24 divisors (see below), whose sum is σ = 600604293744. Its totient is φ = 259112912640.

The previous prime is 402144502129. The next prime is 402144502153. The reversal of 402144502131 is 131205441204.

402144502131 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 445 + 0 + 213 + 1 = 666.

It is not a de Polignac number, because 402144502131 - 21 = 402144502129 is a prime.

It is a super-2 number, since 2×4021445021312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402144502095 and 402144502104.

It is not an unprimeable number, because it can be changed into a prime (402144502231) 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, 5053146 + ... + 5132111.

It is an arithmetic number, because the mean of its divisors is an integer number (25025178906).

Almost surely, 2402144502131 is an apocalyptic number.

402144502131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

402144502131 is a deficient number, since it is larger than the sum of its proper divisors (198459791613).

402144502131 is a wasteful number, since it uses less digits than its factorization.

402144502131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10185411 (or 10185408 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 402144502131 its reverse (131205441204), we get a palindrome (533349943335).

The spelling of 402144502131 in words is "four hundred two billion, one hundred forty-four million, five hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 41 107 123 321 369 963 4387 13161 39483 10185257 30555771 91667313 417595537 1089822499 1252786611 3269467497 3758359833 9808402491 44682722459 134048167377 402144502131