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131404355240225 = 52734671132113619
BaseRepresentation
bin11101111000001011110101…
…111010101000000100100001
3122020021010121110011012200012
4131320023311322220010201
5114210412104420141400
61143250154420334305
736451436264246054
oct3570136572500441
9566233543135605
10131404355240225
1138962301912a01
12128a3064844395
1358424ba57cb82
14246400cd90a9b
15102d1dec4ed35
hex7782f5ea8121

131404355240225 has 48 divisors (see below), whose sum is σ = 165553941458880. Its totient is φ = 103444681190400.

The previous prime is 131404355240201. The next prime is 131404355240231. The reversal of 131404355240225 is 522042553404131.

It is not a de Polignac number, because 131404355240225 - 26 = 131404355240161 is a prime.

It is an unprimeable number.

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, 9648598466 + ... + 9648612084.

It is an arithmetic number, because the mean of its divisors is an integer number (3449040447060).

Almost surely, 2131404355240225 is an apocalyptic number.

It is an amenable number.

131404355240225 is a deficient number, since it is larger than the sum of its proper divisors (34149586218655).

131404355240225 is a wasteful number, since it uses less digits than its factorization.

131404355240225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25490 (or 25485 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 131404355240225 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred fifty-five million, two hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 25 73 365 467 1825 2335 11321 11675 13619 34091 56605 68095 170455 283025 340475 826433 852275 994187 4132165 4970935 5286907 6360073 20660825 24854675 26434535 31800365 132172675 154180699 159001825 385944211 464285329 770903495 1929721055 2321426645 3854517475 9648605275 11255191027 11607133225 56275955135 72002386433 281379775675 360011932165 1800059660825 5256174209609 26280871048045 131404355240225