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242307705996 = 223223967730241
BaseRepresentation
bin1110000110101010101…
…0100010110010001100
3212011102211200211111100
43201222222202302030
512432221233042441
6303151543023100
723335416342426
oct3415252426214
9764384624440
10242307705996
1193842423984
123ab6443aa90
1319b07514235
14ba28d65816
156482850cb6
hex386aaa2c8c

242307705996 has 72 divisors (see below), whose sum is σ = 639217653984. Its totient is φ = 77246991360.

The previous prime is 242307705979. The next prime is 242307706057. The reversal of 242307705996 is 699507703242.

242307705996 is a `hidden beast` number, since 2 + 42 + 3 + 0 + 7 + 7 + 0 + 599 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7997436 + ... + 8027676.

It is an arithmetic number, because the mean of its divisors is an integer number (8878022972).

Almost surely, 2242307705996 is an apocalyptic number.

It is an amenable number.

242307705996 is an abundant number, since it is smaller than the sum of its proper divisors (396909947988).

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

242307705996 is a wasteful number, since it uses less digits than its factorization.

242307705996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39951 (or 39946 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 242307705996 in words is "two hundred forty-two billion, three hundred seven million, seven hundred five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 9677 19354 29031 30241 38708 58062 60482 87093 90723 116124 120964 174186 181446 222571 272169 348372 362892 445142 544338 667713 695543 890284 1088676 1335426 1391086 2003139 2086629 2670852 2782172 4006278 4173258 6259887 8012556 8346516 12519774 25039548 292642157 585284314 877926471 1170568628 1755852942 2633779413 3511705884 5267558826 6730769611 10535117652 13461539222 20192308833 26923078444 40384617666 60576926499 80769235332 121153852998 242307705996