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2040152142 = 237217938767
BaseRepresentation
bin111100110011010…
…0100000001001110
312021011220110121110
41321212210001032
513134234332032
6534235312450
7101362002300
oct17146440116
95234813543
102040152142
11957681556
1248b2ab726
13266895222
14154d4b970
15be1947cc
hex799a404e

2040152142 has 48 divisors (see below), whose sum is σ = 4773116160. Its totient is φ = 579629232.

The previous prime is 2040152111. The next prime is 2040152159. The reversal of 2040152142 is 2412510402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33243 + ... + 72009.

It is an arithmetic number, because the mean of its divisors is an integer number (99439920).

Almost surely, 22040152142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040152142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386558080).

2040152142 is an abundant number, since it is smaller than the sum of its proper divisors (2732964018).

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

2040152142 is a wasteful number, since it uses less digits than its factorization.

2040152142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38965 (or 38958 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2040152142 is about 45168.0433713926. The cubic root of 2040152142 is about 1268.2966691160.

Adding to 2040152142 its reverse (2412510402), we get a palindrome (4452662544).

The spelling of 2040152142 in words is "two billion, forty million, one hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 179 294 358 537 1074 1253 2506 3759 7518 8771 17542 26313 38767 52626 77534 116301 232602 271369 542738 814107 1628214 1899583 3799166 5698749 6939293 11397498 13878586 20817879 41635758 48575051 97150102 145725153 291450306 340025357 680050714 1020076071 2040152142