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242401270984 = 23101300001573
BaseRepresentation
bin1110000111000000111…
…1011101110011001000
3212011200100202102112021
43201300033131303020
512432414211132414
6303205124254224
723340633543565
oct3416017356310
9764610672467
10242401270984
119389021a714
123ab8b841374
1319b20a13a32
14ba3755d86c
15648ab83c24
hex38703ddcc8

242401270984 has 16 divisors (see below), whose sum is σ = 459002408220. Its totient is φ = 120000628800.

The previous prime is 242401270931. The next prime is 242401271017. The reversal of 242401270984 is 489072104242.

242401270984 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 164331322884 + 78069948100 = 405378^2 + 279410^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242401270984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149999979 + ... + 150001594.

Almost surely, 2242401270984 is an apocalyptic number.

It is an amenable number.

242401270984 is a deficient number, since it is larger than the sum of its proper divisors (216601137236).

242401270984 is a wasteful number, since it uses less digits than its factorization.

242401270984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300001680 (or 300001676 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 242401270984 in words is "two hundred forty-two billion, four hundred one million, two hundred seventy thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 101 202 404 808 300001573 600003146 1200006292 2400012584 30300158873 60600317746 121200635492 242401270984