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242834144652 = 223211613217537
BaseRepresentation
bin1110001000101000001…
…0101111110110001100
3212012210112021200120100
43202022002233312030
512434311020112102
6303320110251100
723354441113131
oct3421202576614
9765715250510
10242834144652
1193a925a9050
123b0907b6a90
1319b8c5c52b8
14ba78c40588
1564b3b8ca1c
hex388a0afd8c

242834144652 has 36 divisors (see below), whose sum is σ = 669633551496. Its totient is φ = 73586104320.

The previous prime is 242834144621. The next prime is 242834144653. The reversal of 242834144652 is 256441438242.

242834144652 is a `hidden beast` number, since 2 + 42 + 83 + 41 + 446 + 52 = 666.

242834144652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2428341446522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242834144598 and 242834144607.

It is not an unprimeable number, because it can be changed into a prime (242834144653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306608373 + ... + 306609164.

It is an arithmetic number, because the mean of its divisors is an integer number (18600931986).

Almost surely, 2242834144652 is an apocalyptic number.

242834144652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242834144652 is an abundant number, since it is smaller than the sum of its proper divisors (426799406844).

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

242834144652 is a wasteful number, since it uses less digits than its factorization.

242834144652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613217558 (or 613217553 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 242834144652 in words is "two hundred forty-two billion, eight hundred thirty-four million, one hundred forty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 613217537 1226435074 1839652611 2452870148 3679305222 5518957833 6745392907 7358610444 11037915666 13490785814 20236178721 22075831332 26981571628 40472357442 60708536163 80944714884 121417072326 242834144652