Search a number
-
+
42246153342 = 2334331806781
BaseRepresentation
bin100111010110000100…
…010010010001111110
311001001012120221122000
4213112010102101332
51143010003401332
631224013403130
73023620243551
oct472604222176
9131035527560
1042246153342
1116a09941318
1282301994a6
133ca3523493
14208aa20698
151173cbdb7c
hex9d611247e

42246153342 has 32 divisors (see below), whose sum is σ = 94097206560. Its totient is φ = 14049521280.

The previous prime is 42246153337. The next prime is 42246153403. The reversal of 42246153342 is 24335164224.

42246153342 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 615 + 3 + 34 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42246153297 and 42246153306.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 880009 + ... + 926772.

It is an arithmetic number, because the mean of its divisors is an integer number (2940537705).

Almost surely, 242246153342 is an apocalyptic number.

42246153342 is an abundant number, since it is smaller than the sum of its proper divisors (51851053218).

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

42246153342 is a wasteful number, since it uses less digits than its factorization.

42246153342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807225 (or 1807219 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 42246153342 in words is "forty-two billion, two hundred forty-six million, one hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 433 866 1299 2598 3897 7794 11691 23382 1806781 3613562 5420343 10840686 16261029 32522058 48783087 97566174 782336173 1564672346 2347008519 4694017038 7041025557 14082051114 21123076671 42246153342