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4124132442 = 2331711034073
BaseRepresentation
bin1111010111010001…
…0100010001011010
3101122102021122011000
43311310110101122
531421234214232
61521122245430
7204125355513
oct36564242132
911572248130
104124132442
111826a68821
129711b6876
13509564571
142b1a27a0a
151920e527c
hexf5d1445a

4124132442 has 64 divisors (see below), whose sum is σ = 9715023360. Its totient is φ = 1292355072.

The previous prime is 4124132431. The next prime is 4124132473. The reversal of 4124132442 is 2442314214.

4124132442 is a `hidden beast` number, since 4 + 1 + 2 + 413 + 244 + 2 = 666.

4124132442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010518 + ... + 1014590.

It is an arithmetic number, because the mean of its divisors is an integer number (151797240).

Almost surely, 24124132442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124132442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857511680).

4124132442 is an abundant number, since it is smaller than the sum of its proper divisors (5590890918).

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

4124132442 is a wasteful number, since it uses less digits than its factorization.

4124132442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5198 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4124132442 is about 64219.4086083016. The cubic root of 4124132442 is about 1603.6547238999.

Adding to 4124132442 its reverse (2442314214), we get a palindrome (6566446656).

The spelling of 4124132442 in words is "four billion, one hundred twenty-four million, one hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1103 2206 3309 4073 6618 8146 9927 12219 18751 19854 24438 29781 36657 37502 56253 59562 69241 73314 109971 112506 138482 168759 207723 219942 337518 415446 506277 623169 1012554 1246338 1869507 3739014 4492519 8985038 13477557 26955114 40432671 76372823 80865342 121298013 152745646 229118469 242596026 458236938 687355407 1374710814 2062066221 4124132442