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242664621344 = 25191873213091
BaseRepresentation
bin1110000111111111110…
…0000100010100100000
3212012100201022000022022
43201333330010110200
512433434120340334
6303251213001012
723350312151105
oct3417774042440
9765321260268
10242664621344
1193a05941742
123b043a83168
1319b6344bc52
14ba60512aac
1564a3d5382e
hex387ff04520

242664621344 has 48 divisors (see below), whose sum is σ = 503161354080. Its totient is φ = 114884490240.

The previous prime is 242664621343. The next prime is 242664621349. The reversal of 242664621344 is 443126466242.

It is a super-2 number, since 2×2426646213442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242664621295 and 242664621304.

It is not an unprimeable number, because it can be changed into a prime (242664621343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032239 + ... + 1245329.

It is an arithmetic number, because the mean of its divisors is an integer number (10482528210).

Almost surely, 2242664621344 is an apocalyptic number.

It is an amenable number.

242664621344 is an abundant number, since it is smaller than the sum of its proper divisors (260496732736).

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

242664621344 is a wasteful number, since it uses less digits than its factorization.

242664621344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214993 (or 214985 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 242664621344 in words is "two hundred forty-two billion, six hundred sixty-four million, six hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1873 3746 7492 14984 29968 35587 59936 71174 142348 213091 284696 426182 569392 852364 1138784 1704728 3409456 4048729 6818912 8097458 16194916 32389832 64779664 129559328 399119443 798238886 1596477772 3192955544 6385911088 7583269417 12771822176 15166538834 30333077668 60666155336 121332310672 242664621344