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4415114142 = 2366745197
BaseRepresentation
bin1000001110010100…
…10100101110011110
3102101200211001000000
410013022110232132
533020232123032
62010035115130
7214260564615
oct40712245636
912350731000
104415114142
11196624266a
12a32742aa6
1355492559a
142dc53087c
151ac921e7c
hex107294b9e

4415114142 has 56 divisors (see below), whose sum is σ = 10077888456. Its totient is φ = 1449706896.

The previous prime is 4415114141. The next prime is 4415114213. The reversal of 4415114142 is 2414115144.

It is a happy number.

4415114142 is a `hidden beast` number, since 4 + 4 + 1 + 511 + 4 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415114141) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75088 + ... + 120284.

Almost surely, 24415114142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4415114142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038944228).

4415114142 is an abundant number, since it is smaller than the sum of its proper divisors (5662774314).

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

4415114142 is an equidigital number, since it uses as much as digits as its factorization.

4415114142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45284 (or 45269 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 4415114142 is about 66446.3252708530. The cubic root of 4415114142 is about 1640.5166602875.

Adding to 4415114142 its reverse (2414115144), we get a palindrome (6829229286).

The spelling of 4415114142 in words is "four billion, four hundred fifteen million, one hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 243 402 486 603 729 1206 1458 1809 3618 5427 10854 16281 32562 45197 48843 90394 97686 135591 271182 406773 813546 1220319 2440638 3028199 3660957 6056398 7321914 9084597 10982871 18169194 21965742 27253791 32948613 54507582 65897226 81761373 163522746 245284119 490568238 735852357 1471704714 2207557071 4415114142