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242035224336 = 24331274411549
BaseRepresentation
bin1110000101101001101…
…1000110111100010000
3212010201211222022221000
43201122123012330100
512431142004134321
6303104530502000
723325600314313
oct3413233067420
9763654868830
10242035224336
1193712635424
123aaa9134900
1319a92c2c999
14ba00ab697a
15646897a826
hex385a6c6f10

242035224336 has 80 divisors (see below), whose sum is σ = 700201216000. Its totient is φ = 80043126912.

The previous prime is 242035224331. The next prime is 242035224337. The reversal of 242035224336 is 633422530242.

242035224336 is a `hidden beast` number, since 2 + 420 + 3 + 5 + 224 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 242035224336.

It is not an unprimeable number, because it can be changed into a prime (242035224331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150911 + ... + 2260638.

It is an arithmetic number, because the mean of its divisors is an integer number (8752515200).

Almost surely, 2242035224336 is an apocalyptic number.

It is an amenable number.

242035224336 is an abundant number, since it is smaller than the sum of its proper divisors (458165991664).

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

242035224336 is a wasteful number, since it uses less digits than its factorization.

242035224336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411693 (or 4411681 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 242035224336 its reverse (633422530242), we get a palindrome (875457754578).

The spelling of 242035224336 in words is "two hundred forty-two billion, thirty-five million, two hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 6096 6858 9144 13716 18288 27432 54864 4411549 8823098 13234647 17646196 26469294 35292392 39703941 52938588 70584784 79407882 105877176 119111823 158815764 211754352 238223646 317631528 476447292 560266723 635263056 952894584 1120533446 1680800169 1905789168 2241066892 3361600338 4482133784 5042400507 6723200676 8964267568 10084801014 13446401352 15127201521 20169602028 26892802704 30254403042 40339204056 60508806084 80678408112 121017612168 242035224336