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261431265327141 = 37131603675971451
BaseRepresentation
bin111011011100010100110101…
…101100111111100000100101
31021021122120210101020112220210
4323130110311230333200211
5233231242212410432031
62324003510523050033
7106031533316102460
oct7334246554774045
91237576711215823
10261431265327141
1176333416861788
12253a3169970919
13b2b4b29cc43c0
14487b4ab0682d7
152035661a1c746
hexedc535b3f825

261431265327141 has 32 divisors (see below), whose sum is σ = 429018156822528. Its totient is φ = 137896927300800.

The previous prime is 261431265327137. The next prime is 261431265327151. The reversal of 261431265327141 is 141723562134162.

It is not a de Polignac number, because 261431265327141 - 22 = 261431265327137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261431265327131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40794466 + ... + 46765916.

It is an arithmetic number, because the mean of its divisors is an integer number (13406817400704).

Almost surely, 2261431265327141 is an apocalyptic number.

261431265327141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

261431265327141 is a deficient number, since it is larger than the sum of its proper divisors (167586891495387).

261431265327141 is a wasteful number, since it uses less digits than its factorization.

261431265327141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131841.

The product of its digits is 1451520, while the sum is 48.

The spelling of 261431265327141 in words is "two hundred sixty-one trillion, four hundred thirty-one billion, two hundred sixty-five million, three hundred twenty-seven thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 39 91 273 160367 481101 1122569 2084771 3367707 5971451 6254313 14593397 17914353 41800157 43780191 77628863 125400471 232886589 543402041 1630206123 957623682517 2872871047551 6703365777619 12449107872721 20110097332857 37347323618163 87143755109047 261431265327141