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242664060040 = 2356066601501
BaseRepresentation
bin1110000111111111100…
…1111011010010001000
3212012100200020111100021
43201333321323102020
512433433444410130
6303251152550224
723350304322463
oct3417771732210
9765320214307
10242664060040
1193a05598a56
123b043852374
1319b632b360c
14ba604082da
1564a3c9237a
hex387fe7b488

242664060040 has 16 divisors (see below), whose sum is σ = 545994135180. Its totient is φ = 97065624000.

The previous prime is 242664060017. The next prime is 242664060113. The reversal of 242664060040 is 40060466242.

It can be written as a sum of positive squares in 2 ways, for example, as 239862898564 + 2801161476 = 489758^2 + 52926^2 .

It is a super-3 number, since 3×2426640600403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242664059978 and 242664060005.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3033300711 + ... + 3033300790.

Almost surely, 2242664060040 is an apocalyptic number.

242664060040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242664060040 is an abundant number, since it is smaller than the sum of its proper divisors (303330075140).

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

242664060040 is a wasteful number, since it uses less digits than its factorization.

242664060040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066601512 (or 6066601508 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 242664060040 in words is "two hundred forty-two billion, six hundred sixty-four million, sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6066601501 12133203002 24266406004 30333007505 48532812008 60666015010 121332030020 242664060040