Search a number
-
+
42405251304 = 23313193704219
BaseRepresentation
bin100111011111100011…
…001100100011101000
311001110021221222000010
4213133203030203220
51143321221020204
631251455411520
73030561455163
oct473743144350
9131407858003
1042405251304
1116a90727a39
128275523ba0
133cca4894a0
1420a3bd6ada
151182c48d89
hex9df8cc8e8

42405251304 has 64 divisors (see below), whose sum is σ = 114759691200. Its totient is φ = 12980146176.

The previous prime is 42405251297. The next prime is 42405251309. The reversal of 42405251304 is 40315250424.

It is not an unprimeable number, because it can be changed into a prime (42405251309) 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 15 ways as a sum of consecutive naturals, for example, 291894 + ... + 412325.

It is an arithmetic number, because the mean of its divisors is an integer number (1793120175).

Almost surely, 242405251304 is an apocalyptic number.

It is an amenable number.

42405251304 is an abundant number, since it is smaller than the sum of its proper divisors (72354439896).

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

42405251304 is a wasteful number, since it uses less digits than its factorization.

42405251304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704434 (or 704430 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 42405251304 in words is "forty-two billion, four hundred five million, two hundred fifty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 193 312 386 579 772 1158 1544 2316 2509 4632 5018 7527 10036 15054 20072 30108 60216 704219 1408438 2112657 2816876 4225314 5633752 8450628 9154847 16901256 18309694 27464541 36619388 54929082 73238776 109858164 135914267 219716328 271828534 407742801 543657068 815485602 1087314136 1630971204 1766885471 3261942408 3533770942 5300656413 7067541884 10601312826 14135083768 21202625652 42405251304