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142404636231 = 321113311355783
BaseRepresentation
bin1000010010011111111…
…0100100111001000111
3111121120102110001112100
42010213332210321013
54313121041324411
6145230401323143
713200630302364
oct2044776447107
9447512401470
10142404636231
1155436782a10
12237230364b3
1310575b11c80
146c6cb3746b
153a86db1456
hex2127fa4e47

142404636231 has 48 divisors (see below), whose sum is σ = 242434063872. Its totient is φ = 79410542400.

The previous prime is 142404636223. The next prime is 142404636239. The reversal of 142404636231 is 132636404241.

142404636231 is a `hidden beast` number, since 1 + 4 + 24 + 0 + 4 + 6 + 3 + 623 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (142404636223) and next prime (142404636239).

It is not a de Polignac number, because 142404636231 - 23 = 142404636223 is a prime.

It is a super-2 number, since 2×1424046362312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142404636239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222366 + ... + 578148.

It is an arithmetic number, because the mean of its divisors is an integer number (5050709664).

Almost surely, 2142404636231 is an apocalyptic number.

142404636231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

142404636231 is a deficient number, since it is larger than the sum of its proper divisors (100029427641).

142404636231 is a wasteful number, since it uses less digits than its factorization.

142404636231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356124 (or 356121 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 142404636231 in words is "one hundred forty-two billion, four hundred four million, six hundred thirty-six thousand, two hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 311 429 933 1287 2799 3421 4043 10263 12129 30789 36387 44473 133419 355783 400257 1067349 3202047 3913613 4625179 11740839 13875537 35222517 41626611 50876969 110648513 152630907 331945539 457892721 995836617 1217133643 1438430669 3651400929 4315292007 10954202787 12945876021 15822737359 47468212077 142404636231