Search a number
-
+
42016001242788 = 22321167111145633
BaseRepresentation
bin10011000110110100111001…
…10101000011011010100100
312111202200122100221012212100
421203122130311003122210
521001342232304232123
6225205515015252100
711564361451626306
oct1143323465033244
9174680570835770
1042016001242788
111242998238a451
124866b9597a030
131a5a126c2b921
14a5382a141976
154ccdec888643
hex26369cd436a4

42016001242788 has 18 divisors (see below), whose sum is σ = 106207114252694. Its totient is φ = 14005333747584.

The previous prime is 42016001242727. The next prime is 42016001242829. The reversal of 42016001242788 is 88724210061024.

42016001242788 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 600 + 12 + 4 + 27 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22929081018624 + 19086920224164 = 4788432^2 + 4368858^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 583555572781 + ... + 583555572852.

Almost surely, 242016001242788 is an apocalyptic number.

It is an amenable number.

42016001242788 is an abundant number, since it is smaller than the sum of its proper divisors (64191113009906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42016001242788 is a wasteful number, since it uses less digits than its factorization.

42016001242788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167111145643 (or 1167111145638 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 42016001242788 in words is "forty-two trillion, sixteen billion, one million, two hundred forty-two thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1167111145633 2334222291266 3501333436899 4668444582532 7002666873798 10504000310697 14005333747596 21008000621394 42016001242788