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4142332032 = 27310787323
BaseRepresentation
bin1111011011100110…
…1111100010000000
3101200200112021021220
43312321233202000
531440414111112
61523012315040
7204436145526
oct36671574200
911620467256
104142332032
111836269403
12977312a80
13510267357
142b4204316
151939dc98c
hexf6e6f880

4142332032 has 32 divisors (see below), whose sum is σ = 11003070480. Its totient is φ = 1380777216.

The previous prime is 4142332021. The next prime is 4142332037. The reversal of 4142332032 is 2302332414.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4142331993 and 4142332011.

It is not an unprimeable number, because it can be changed into a prime (4142332037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5393278 + ... + 5394045.

Almost surely, 24142332032 is an apocalyptic number.

It is an amenable number.

4142332032 is an abundant number, since it is smaller than the sum of its proper divisors (6860738448).

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

4142332032 is a wasteful number, since it uses less digits than its factorization.

4142332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787340 (or 10787328 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4142332032 is about 64360.9511427543. The cubic root of 4142332032 is about 1606.0102117446.

Adding to 4142332032 its reverse (2302332414), we get a palindrome (6444664446).

The spelling of 4142332032 in words is "four billion, one hundred forty-two million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10787323 21574646 32361969 43149292 64723938 86298584 129447876 172597168 258895752 345194336 517791504 690388672 1035583008 1380777344 2071166016 4142332032