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242450351505 = 32550091075621
BaseRepresentation
bin1110000111001100101…
…0101100010110010001
3212011210210002222100100
43201303022230112101
512433014242222010
6303214040243013
723342100661515
oct3416312542621
9764723088310
10242450351505
11939059a262a
123aba4170469
1319b2ac3976b
14ba3dc98145
15649012b2c0
hex38732ac591

242450351505 has 24 divisors (see below), whose sum is σ = 420331565160. Its totient is φ = 129280919040.

The previous prime is 242450351471. The next prime is 242450351527. The reversal of 242450351505 is 505153054242.

242450351505 is a `hidden beast` number, since 2 + 424 + 50 + 35 + 150 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23255030016 + 219195321489 = 152496^2 + 468183^2 .

It is not a de Polignac number, because 242450351505 - 210 = 242450350481 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 242450351505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312406 + ... + 763215.

It is an arithmetic number, because the mean of its divisors is an integer number (17513815215).

Almost surely, 2242450351505 is an apocalyptic number.

It is an amenable number.

242450351505 is a deficient number, since it is larger than the sum of its proper divisors (177881213655).

242450351505 is a wasteful number, since it uses less digits than its factorization.

242450351505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080641 (or 1080638 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 242450351505 in words is "two hundred forty-two billion, four hundred fifty million, three hundred fifty-one thousand, five hundred five".

Divisors: 1 3 5 9 15 45 5009 15027 25045 45081 75135 225405 1075621 3226863 5378105 9680589 16134315 48402945 5387785589 16163356767 26938927945 48490070301 80816783835 242450351505