Search a number
-
+
42367382117277 = 3721993144612887
BaseRepresentation
bin10011010001000011011001…
…10000101101101110011101
312120000021121201001002220220
421220201230300231232131
521023121344310223102
6230035150123031553
711631641140032600
oct1150415460555635
9176007551032826
1042367382117277
11125549a6765188
1249030ba66b5b9
131a842c4910639
14a66841148337
154d7115c551bc
hex26886cc2db9d

42367382117277 has 24 divisors (see below), whose sum is σ = 65745646497216. Its totient is φ = 24197784988608.

The previous prime is 42367382117147. The next prime is 42367382117297. The reversal of 42367382117277 is 77271128376324.

42367382117277 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42367382117277 - 212 = 42367382113181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42367382117277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42367382117297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72013473 + ... + 72599414.

It is an arithmetic number, because the mean of its divisors is an integer number (2739401937384).

Almost surely, 242367382117277 is an apocalyptic number.

It is an amenable number.

42367382117277 is a deficient number, since it is larger than the sum of its proper divisors (23378264379939).

42367382117277 is a wasteful number, since it uses less digits than its factorization.

42367382117277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144614897 (or 144614890 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 60.

The spelling of 42367382117277 in words is "forty-two trillion, three hundred sixty-seven billion, three hundred eighty-two million, one hundred seventeen thousand, two hundred seventy-seven".

Divisors: 1 3 7 21 49 147 1993 5979 13951 41853 97657 292971 144612887 433838661 1012290209 3036870627 7086031463 21258094389 288213483791 864640451373 2017494386537 6052483159611 14122460705759 42367382117277