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242320351431431 = 72131513929641197
BaseRepresentation
bin110111000110001110011010…
…011110000000101100000111
31011202222121011221010210010202
4313012032122132000230013
5223230134034431301211
62215212233241441115
7102020032130204300
oct6706163236005407
91152877157123122
10242320351431431
1170235536117119
12232173834a019b
13a52993235bb10
1443ba5209377a7
151d03495e8153b
hexdc639a780b07

242320351431431 has 48 divisors (see below), whose sum is σ = 305654777749440. Its totient is φ = 190407512332800.

The previous prime is 242320351431413. The next prime is 242320351431451. The reversal of 242320351431431 is 134134153023242.

It is not a de Polignac number, because 242320351431431 - 234 = 242303171562247 is a prime.

It is a super-2 number, since 2×2423203514314312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242320351431401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377598125 + ... + 378239321.

It is an arithmetic number, because the mean of its divisors is an integer number (6367807869780).

Almost surely, 2242320351431431 is an apocalyptic number.

242320351431431 is a deficient number, since it is larger than the sum of its proper divisors (63334426318009).

242320351431431 is a wasteful number, since it uses less digits than its factorization.

242320351431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645304 (or 645297 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 242320351431431 in words is "two hundred forty-two trillion, three hundred twenty billion, three hundred fifty-one million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 7 13 49 91 151 637 1057 1963 3929 7399 13741 27503 51077 96187 192521 357539 593279 641197 2502773 4152953 4488379 7712627 8335561 29070671 31418653 53988389 58348927 96820747 377918723 408442489 677745229 1258669711 2519263013 4744216603 8810687977 17634841091 32750419169 61674815839 123443887637 229252934183 380408714963 1604770539281 2662861004741 4945313294519 18640027033187 34617193061633 242320351431431