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42122159247 = 373151419647
BaseRepresentation
bin100111001110101011…
…010010010010001111
311000201120021101201010
4213032223102102033
51142231233043442
631203424020303
73020553306000
oct471653222217
9130646241633
1042122159247
1116955951763
1281b6761693
133c8392b5ac
1420783851a7
151167e79b9c
hex9cead248f

42122159247 has 64 divisors (see below), whose sum is σ = 66189312000. Its totient is φ = 23816469600.

The previous prime is 42122159243. The next prime is 42122159249. The reversal of 42122159247 is 74295122124.

It is not a de Polignac number, because 42122159247 - 22 = 42122159243 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42122159243) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 65103478 + ... + 65104124.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208000).

Almost surely, 242122159247 is an apocalyptic number.

42122159247 is a deficient number, since it is larger than the sum of its proper divisors (24067152753).

42122159247 is a wasteful number, since it uses less digits than its factorization.

42122159247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1227 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The spelling of 42122159247 in words is "forty-two billion, one hundred twenty-two million, one hundred fifty-nine thousand, two hundred forty-seven".

Divisors: 1 3 7 21 49 147 151 343 419 453 647 1029 1057 1257 1941 2933 3171 4529 7399 8799 13587 20531 22197 31703 51793 61593 63269 95109 97697 143717 155379 189807 221921 271093 293091 431151 442883 665763 683879 813279 1328649 1897651 2051637 3100181 4787153 5692953 9300543 13283557 14361459 21701267 33510071 39850671 40935043 65103801 92984899 100530213 122805129 278954697 286545301 859635903 2005817107 6017451321 14040719749 42122159247