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4042801152 = 21433131937
BaseRepresentation
bin1111000011111000…
…0100000000000000
3101102202020120121000
43300332010000000
531234424114102
61505055132000
7202120146165
oct36076040000
911382216530
104042801152
111795068385
12949b14000
134c5759240
142a4cd606c
15189dcc01c
hexf0f84000

4042801152 has 480 divisors, whose sum is σ = 13945635200. Its totient is φ = 1146617856.

The previous prime is 4042801141. The next prime is 4042801153. The reversal of 4042801152 is 2511082404.

It is a super-2 number, since 2×40428011522 = 32688482309225054208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4042801153) 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, 109264878 + ... + 109264914.

Almost surely, 24042801152 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 4042801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972817600).

4042801152 is an abundant number, since it is smaller than the sum of its proper divisors (9902834048).

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

4042801152 is a wasteful number, since it uses less digits than its factorization.

4042801152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

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

The square root of 4042801152 is about 63583.0256593692. The cubic root of 4042801152 is about 1593.0428593843.

Adding to 4042801152 its reverse (2511082404), we get a palindrome (6553883556).

The spelling of 4042801152 in words is "four billion, forty-two million, eight hundred one thousand, one hundred fifty-two".