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34121332032 = 263177715271
BaseRepresentation
bin11111110001110010…
…100011010101000000
310021001222022021002020
4133301302203111000
51024340030111112
623401454321440
72315362352064
oct376162432500
9107058267066
1034121332032
111351a669867
1267431b9280
1332aa188ac8
141919943aa4
15d4a86948c
hex7f1ca3540

34121332032 has 28 divisors (see below), whose sum is σ = 90279358176. Its totient is φ = 11373777280.

The previous prime is 34121332027. The next prime is 34121332057. The reversal of 34121332032 is 23023312143.

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 = 34121331993 and 34121332011.

It is a congruent number.

It is an unprimeable number.

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, 88857444 + ... + 88857827.

It is an arithmetic number, because the mean of its divisors is an integer number (3224262792).

Almost surely, 234121332032 is an apocalyptic number.

34121332032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34121332032 is an abundant number, since it is smaller than the sum of its proper divisors (56158026144).

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

34121332032 is a wasteful number, since it uses less digits than its factorization.

34121332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177715286 (or 177715276 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34121332032 its reverse (23023312143), we get a palindrome (57144644175).

The spelling of 34121332032 in words is "thirty-four billion, one hundred twenty-one million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 177715271 355430542 533145813 710861084 1066291626 1421722168 2132583252 2843444336 4265166504 5686888672 8530333008 11373777344 17060666016 34121332032