Search a number
-
+
418010142 = 231123509541
BaseRepresentation
bin11000111010100…
…101010000011110
31002010120010010010
4120322211100132
51324002311032
6105251224050
713234012314
oct3072452036
91063503103
10418010142
111a4a57230
12b7ba8026
13687a90a4
143d7320b4
1526a6eccc
hex18ea541e

418010142 has 64 divisors (see below), whose sum is σ = 955307520. Its totient is φ = 120700800.

The previous prime is 418010137. The next prime is 418010143. The reversal of 418010142 is 241010814.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418010143) 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, 772392 + ... + 772932.

It is an arithmetic number, because the mean of its divisors is an integer number (14926680).

Almost surely, 2418010142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418010142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477653760).

418010142 is an abundant number, since it is smaller than the sum of its proper divisors (537297378).

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

418010142 is a wasteful number, since it uses less digits than its factorization.

418010142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 418010142 is about 20445.2963294739. The cubic root of 418010142 is about 747.7026840821.

Adding to 418010142 its reverse (241010814), we get a palindrome (659020956).

The spelling of 418010142 in words is "four hundred eighteen million, ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 509 541 759 1018 1082 1518 1527 1623 3054 3246 5599 5951 11198 11707 11902 12443 16797 17853 23414 24886 33594 35121 35706 37329 70242 74658 128777 136873 257554 273746 275369 386331 410619 550738 772662 821238 826107 1652214 3029059 6058118 6333487 9087177 12666974 18174354 19000461 38000922 69668357 139336714 209005071 418010142