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242661120312 = 233135314674717
BaseRepresentation
bin1110000111111110111…
…0101101100100111000
3212012100110201010210110
43201333232231210320
512433432221322222
6303251005544320
723350240330032
oct3417756554470
9765313633713
10242661120312
1193a03970326
123b0428750a0
1319b627c4530
14ba5dc80c52
1564a38b130c
hex387fbad938

242661120312 has 64 divisors (see below), whose sum is σ = 665645208480. Its totient is φ = 73256182272.

The previous prime is 242661120301. The next prime is 242661120379. The reversal of 242661120312 is 213021166242.

It is a super-2 number, since 2×2426611203122 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242661120312.

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 15 ways as a sum of consecutive naturals, for example, 7320823 + ... + 7353894.

Almost surely, 2242661120312 is an apocalyptic number.

It is an amenable number.

242661120312 is an abundant number, since it is smaller than the sum of its proper divisors (422984088168).

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

242661120312 is a wasteful number, since it uses less digits than its factorization.

242661120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674792 (or 14674788 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 242661120312 its reverse (213021166242), we get a palindrome (455682286554).

The spelling of 242661120312 in words is "two hundred forty-two billion, six hundred sixty-one million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 4134 5512 8268 16536 14674717 29349434 44024151 58698868 88048302 117397736 176096604 190771321 352193208 381542642 572313963 763085284 777760001 1144627926 1526170568 1555520002 2289255852 2333280003 3111040004 4578511704 4666560006 6222080008 9333120012 10110880013 18666240024 20221760026 30332640039 40443520052 60665280078 80887040104 121330560156 242661120312