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242514315040 = 2551759861691
BaseRepresentation
bin1110000111011011111…
…0101100011100100000
3212011222020110122211011
43201312332230130200
512433132131040130
6303224243230304
723343505444234
oct3416676543440
9764866418734
10242514315040
1193939010358
123b001678394
1319b3b2737ca
14ba485885c4
156495a6352a
hex3876fac720

242514315040 has 48 divisors (see below), whose sum is σ = 573266453760. Its totient is φ = 96950465280.

The previous prime is 242514315037. The next prime is 242514315041. The reversal of 242514315040 is 40513415242.

It is a junction number, because it is equal to n+sod(n) for n = 242514314993 and 242514315011.

It is not an unprimeable number, because it can be changed into a prime (242514315041) 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, 149406 + ... + 712285.

It is an arithmetic number, because the mean of its divisors is an integer number (11943051120).

Almost surely, 2242514315040 is an apocalyptic number.

242514315040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242514315040 is an abundant number, since it is smaller than the sum of its proper divisors (330752138720).

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

242514315040 is a wasteful number, since it uses less digits than its factorization.

242514315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863465 (or 863457 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 242514315040 in words is "two hundred forty-two billion, five hundred fourteen million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1759 3518 7036 8795 14072 17590 28144 35180 56288 70360 140720 281440 861691 1723382 3446764 4308455 6893528 8616910 13787056 17233820 27574112 34467640 68935280 137870560 1515714469 3031428938 6062857876 7578572345 12125715752 15157144690 24251431504 30314289380 48502863008 60628578760 121257157520 242514315040