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134435256053241 = 31113210122363033
BaseRepresentation
bin11110100100010010100101…
…101011101010110111111001
3122121222212220010202102122110
4132210102211223222313321
5120110041401022200431
61153530412023442533
740213424653135053
oct3644224553526771
9577885803672573
10134435256053241
113992074335a880
12130b25532b6449
135a02261c94600
14252a9b5bc08d3
151081e8220a346
hex7a44a5aeadf9

134435256053241 has 72 divisors (see below), whose sum is σ = 213858244428768. Its totient is φ = 74463864384000.

The previous prime is 134435256053213. The next prime is 134435256053243. The reversal of 134435256053241 is 142350652534431.

It is not a de Polignac number, because 134435256053241 - 26 = 134435256053177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134435256053243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55709461 + ... + 58072493.

It is an arithmetic number, because the mean of its divisors is an integer number (2970253394844).

Almost surely, 2134435256053241 is an apocalyptic number.

134435256053241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

134435256053241 is a deficient number, since it is larger than the sum of its proper divisors (79422988375527).

134435256053241 is a wasteful number, since it uses less digits than its factorization.

134435256053241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363275 (or 2363161 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 134435256053241 in words is "one hundred thirty-four trillion, four hundred thirty-five billion, two hundred fifty-six million, fifty-three thousand, two hundred forty-one".

Divisors: 1 3 11 13 33 39 101 143 169 303 429 507 1111 1313 1859 3333 3939 5577 10201 14443 17069 30603 43329 51207 112211 132613 187759 336633 397839 563277 1458743 1723969 2363033 4376229 5171907 7089099 18963659 25993363 30719429 56890977 77980089 92158287 238666333 337913719 399352577 715998999 1013741157 1198057731 2625329663 3102662329 4392878347 7875988989 9307986987 13178635041 24105299633 34129285619 40334610277 72315898899 102387856857 121003830831 265158295963 313368895229 443680713047 795474887889 940106685687 1331042139141 3447057847519 4073795637977 10341173542557 12221386913931 44811752017747 134435256053241