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242555151141 = 32291181786901
BaseRepresentation
bin1110000111100101101…
…0011110001100100101
3212012002002022100102100
43201321122132030211
512433223104314031
6303232302402313
723344512524022
oct3417132361445
9765062270370
10242555151141
119395a0720a6
123b013290399
1319b46870a94
14ba4db78549
15649942cde6
hex387969e325

242555151141 has 24 divisors (see below), whose sum is σ = 362746083960. Its totient is φ = 155995056000.

The previous prime is 242555151121. The next prime is 242555151149. The reversal of 242555151141 is 141151555242.

242555151141 is a `hidden beast` number, since 2 + 4 + 2 + 55 + 51 + 511 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93053062116 + 149502089025 = 305046^2 + 386655^2 .

It is not a de Polignac number, because 242555151141 - 215 = 242555118373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242555151096 and 242555151105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242555151149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85210 + ... + 701691.

It is an arithmetic number, because the mean of its divisors is an integer number (15114420165).

Almost surely, 2242555151141 is an apocalyptic number.

It is an amenable number.

242555151141 is a deficient number, since it is larger than the sum of its proper divisors (120190932819).

242555151141 is a wasteful number, since it uses less digits than its factorization.

242555151141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788117 (or 788114 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

The spelling of 242555151141 in words is "two hundred forty-two billion, five hundred fifty-five million, one hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 3 9 29 87 261 1181 3543 10629 34249 102747 308241 786901 2360703 7082109 22820129 68460387 205381161 929330081 2787990243 8363970729 26950572349 80851717047 242555151141