Search a number
-
+
242586288327 = 33743493310303
BaseRepresentation
bin1110000111101101000…
…1010000000011000111
3212012011020220021121110
43201323101100003013
512433304042211302
6303235334020103
723345341300005
oct3417321200307
9765136807543
10242586288327
11939756a9a09
123b0217a7633
1319b50153556
14ba53d61a75
15649c02db6c
hex387b4500c7

242586288327 has 32 divisors (see below), whose sum is σ = 340017491968. Its totient is φ = 153647819136.

The previous prime is 242586288281. The next prime is 242586288331. The reversal of 242586288327 is 723882685242.

It is not a de Polignac number, because 242586288327 - 210 = 242586287303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242586288727) 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, 23540058 + ... + 23550360.

It is an arithmetic number, because the mean of its divisors is an integer number (10625546624).

Almost surely, 2242586288327 is an apocalyptic number.

242586288327 is a deficient number, since it is larger than the sum of its proper divisors (97431203641).

242586288327 is a wasteful number, since it uses less digits than its factorization.

242586288327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319.

The product of its digits is 20643840, while the sum is 57.

The spelling of 242586288327 in words is "two hundred forty-two billion, five hundred eighty-six million, two hundred eighty-eight thousand, three hundred twenty-seven".

Divisors: 1 3 37 43 111 129 1591 4773 4933 10303 14799 30909 182521 212119 381211 443029 547563 636357 1143633 1329087 7848403 16392073 23545209 49176219 50824699 152474097 1880513863 2185462057 5641541589 6556386171 80862096109 242586288327