Search a number
-
+
402261842136 = 233711317619227
BaseRepresentation
bin1011101101010001010…
…11001001100011011000
31102110022022121212002210
411312220223021203120
523042313012422021
6504444015155120
741030265145650
oct5665053114330
91373268555083
10402261842136
11145664360920
1265b64815aa0
132bc1911327b
141568073b360
15a6e527de76
hex5da8ac98d8

402261842136 has 256 divisors, whose sum is σ = 1296089579520. Its totient is φ = 100969344000.

The previous prime is 402261842023. The next prime is 402261842141. The reversal of 402261842136 is 631248162204.

It is a junction number, because it is equal to n+sod(n) for n = 402261842094 and 402261842103.

It is a congruent number.

It is an unprimeable number.

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, 43591555 + ... + 43600781.

It is an arithmetic number, because the mean of its divisors is an integer number (5062849920).

Almost surely, 2402261842136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402261842136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648044789760).

402261842136 is an abundant number, since it is smaller than the sum of its proper divisors (893827737384).

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

402261842136 is a wasteful number, since it uses less digits than its factorization.

402261842136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 402261842136 in words is "four hundred two billion, two hundred sixty-one million, eight hundred forty-two thousand, one hundred thirty-six".