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242015120561070 = 23256614068164743
BaseRepresentation
bin110111000001110010001001…
…010010101001001110101110
31011201220102022212102000020100
4313001302021102221032232
5223210133431330423240
62214420113404531530
7101656005204465003
oct6701621122511656
91151812285360210
10242015120561070
117012804426556a
122318819a250ba6
13a506c0a8c915c
1443a9846bd78aa
151cea57e464e30
hexdc1c894a93ae

242015120561070 has 48 divisors (see below), whose sum is σ = 630191264163552. Its totient is φ = 64439729513280.

The previous prime is 242015120561023. The next prime is 242015120561153. The reversal of 242015120561070 is 70165021510242.

242015120561070 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 1 + 5 + 1 + 20 + 561 + 0 + 70 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2034022882 + ... + 2034141861.

It is an arithmetic number, because the mean of its divisors is an integer number (13128984670074).

Almost surely, 2242015120561070 is an apocalyptic number.

242015120561070 is an abundant number, since it is smaller than the sum of its proper divisors (388176143602482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242015120561070 is a wasteful number, since it uses less digits than its factorization.

242015120561070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068165417 (or 4068165414 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 242015120561070 in words is "two hundred forty-two trillion, fifteen billion, one hundred twenty million, five hundred sixty-one thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 661 1322 1983 3305 3966 5949 6610 9915 11898 19830 29745 59490 4068164743 8136329486 12204494229 20340823715 24408988458 36613482687 40681647430 61022471145 73226965374 122044942290 183067413435 366134826870 2689056895123 5378113790246 8067170685369 13445284475615 16134341370738 24201512056107 26890568951230 40335853426845 48403024112214 80671706853690 121007560280535 242015120561070