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242340044310 = 232572138350929
BaseRepresentation
bin1110000110110010010…
…1111001111000010110
3212011112002112210022200
43201230211321320112
512432303022404220
6303155100105330
723336261250300
oct3415445717026
9764462483280
10242340044310
1193859701161
123ab73235246
1319b11127630
14ba2d382970
1564855dc890
hex386c979e16

242340044310 has 288 divisors, whose sum is σ = 798861903840. Its totient is φ = 50514057216.

The previous prime is 242340044239. The next prime is 242340044333. The reversal of 242340044310 is 13440043242.

It is a happy number.

242340044310 is a `hidden beast` number, since 2 + 4 + 2 + 340 + 0 + 4 + 4 + 310 = 666.

It is a super-2 number, since 2×2423400443102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4732926 + ... + 4783854.

It is an arithmetic number, because the mean of its divisors is an integer number (2773826055).

Almost surely, 2242340044310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242340044310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399430951920).

242340044310 is an abundant number, since it is smaller than the sum of its proper divisors (556521859530).

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

242340044310 is a wasteful number, since it uses less digits than its factorization.

242340044310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51052 (or 51042 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242340044310 its reverse (13440043242), we get a palindrome (255780087552).

The spelling of 242340044310 in words is "two hundred forty-two billion, three hundred forty million, forty-four thousand, three hundred ten".