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242337730701 = 311409174110313
BaseRepresentation
bin1110000110110001110…
…1000101000010001101
3212011111221012020122110
43201230131011002031
512432301424340301
6303154534334233
723336232503133
oct3415435050215
9764457166573
10242337730701
1193858370990
123ab724ba379
1319b107c7531
14ba2cd3d753
1564852d20d6
hex386c74508d

242337730701 has 32 divisors (see below), whose sum is σ = 353590323840. Its totient is φ = 146413900800.

The previous prime is 242337730699. The next prime is 242337730711. The reversal of 242337730701 is 107037733242.

It is not a de Polignac number, because 242337730701 - 21 = 242337730699 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 242337730701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242337730711) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23493121 + ... + 23503433.

It is an arithmetic number, because the mean of its divisors is an integer number (11049697620).

Almost surely, 2242337730701 is an apocalyptic number.

It is an amenable number.

242337730701 is a deficient number, since it is larger than the sum of its proper divisors (111252593139).

242337730701 is a wasteful number, since it uses less digits than its factorization.

242337730701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477.

The product of its (nonzero) digits is 148176, while the sum is 39.

The spelling of 242337730701 in words is "two hundred forty-two billion, three hundred thirty-seven million, seven hundred thirty thousand, seven hundred one".

Divisors: 1 3 11 33 409 1227 1741 4499 5223 10313 13497 19151 30939 57453 113443 340329 712069 2136207 4218017 7832759 12654051 17954933 23498277 46398187 53864799 139194561 197504263 592512789 7343567597 22030702791 80779243567 242337730701