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240200142 = 23713894943
BaseRepresentation
bin11100101000100…
…10100111001110
3121201222102122120
432110102213032
5442442401032
635500153410
75644444650
oct1624224716
9551872576
10240200142
1111364aa16
1268538866
133a9c0c80
1423c886d0
151614a62c
hexe5129ce

240200142 has 64 divisors (see below), whose sum is σ = 598026240. Its totient is φ = 62625024.

The previous prime is 240200141. The next prime is 240200153. The reversal of 240200142 is 241002042.

240200142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2402001422 = 115392216433640328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240200141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46123 + ... + 51065.

It is an arithmetic number, because the mean of its divisors is an integer number (9344160).

Almost surely, 2240200142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240200142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299013120).

240200142 is an abundant number, since it is smaller than the sum of its proper divisors (357826098).

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

240200142 is a wasteful number, since it uses less digits than its factorization.

240200142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 240200142 is about 15498.3915939687. The cubic root of 240200142 is about 621.6191997849.

Adding to 240200142 its reverse (241002042), we get a palindrome (481202184).

The spelling of 240200142 in words is "two hundred forty million, two hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 89 91 178 182 267 273 534 546 623 1157 1246 1869 2314 3471 3738 4943 6942 8099 9886 14829 16198 24297 29658 34601 48594 64259 69202 103803 128518 192777 207606 385554 439927 449813 879854 899626 1319781 1349439 2639562 2698878 3079489 5719051 6158978 9238467 11438102 17157153 18476934 34314306 40033357 80066714 120100071 240200142