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4042242324 = 22321928121031
BaseRepresentation
bin1111000011101111…
…1011100100010100
3101102201012012000200
43300323323210110
531234303223244
61505035140500
7202112331021
oct36073734424
911381165020
104042242324
11179481653a
129498a4730
134c55c1a83
142a4bcc548
15189d1b669
hexf0efb914

4042242324 has 72 divisors (see below), whose sum is σ = 10794463680. Its totient is φ = 1271894400.

The previous prime is 4042242293. The next prime is 4042242329. The reversal of 4042242324 is 4232422404.

4042242324 is a `hidden beast` number, since 4 + 0 + 422 + 4 + 232 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042242329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181689 + ... + 202719.

Almost surely, 24042242324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042242324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397231840).

4042242324 is an abundant number, since it is smaller than the sum of its proper divisors (6752221356).

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

4042242324 is a wasteful number, since it uses less digits than its factorization.

4042242324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21341 (or 21336 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4042242324 is about 63578.6310327613. The cubic root of 4042242324 is about 1592.9694550010.

Adding to 4042242324 its reverse (4232422404), we get a palindrome (8274664728).

The spelling of 4042242324 in words is "four billion, forty-two million, two hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 281 342 562 684 843 1124 1686 2529 3372 5058 5339 10116 10678 16017 21031 21356 32034 42062 48051 63093 64068 84124 96102 126186 189279 192204 252372 378558 399589 757116 799178 1198767 1598356 2397534 3596301 4795068 5909711 7192602 11819422 14385204 17729133 23638844 35458266 53187399 70916532 106374798 112284509 212749596 224569018 336853527 449138036 673707054 1010560581 1347414108 2021121162 4042242324