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242202264039 = 32192443168277
BaseRepresentation
bin1110000110010001100…
…0010100000111100111
3212011011111021211022200
43201210120110013213
512432012234422124
6303133255025543
723332666163451
oct3414430240747
9764144254280
10242202264039
119379895586a
123ab3506b2b3
1319abb716748
14ba18d592d1
156478473bc9
hex38646141e7

242202264039 has 36 divisors (see below), whose sum is σ = 370065534696. Its totient is φ = 152623639584.

The previous prime is 242202264023. The next prime is 242202264053. The reversal of 242202264039 is 930462202242.

242202264039 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 0 + 2 + 2 + 640 + 3 + 9 = 666.

It is not a de Polignac number, because 242202264039 - 24 = 242202264023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242202263994 and 242202264012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242202264019) 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 35 ways as a sum of consecutive naturals, for example, 1355169 + ... + 1523445.

It is an arithmetic number, because the mean of its divisors is an integer number (10279598186).

Almost surely, 2242202264039 is an apocalyptic number.

242202264039 is a deficient number, since it is larger than the sum of its proper divisors (127863270657).

242202264039 is a wasteful number, since it uses less digits than its factorization.

242202264039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168764 (or 168742 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 242202264039 in words is "two hundred forty-two billion, two hundred two million, two hundred sixty-four thousand, thirty-nine".

Divisors: 1 3 9 19 57 171 361 443 1083 1329 3249 3987 8417 25251 75753 159923 168277 479769 504831 1439307 1514493 3197263 9591789 28775367 60747997 74546711 182243991 223640133 546731973 670920399 1416387509 4249162527 12747487581 26911362671 80734088013 242202264039