Search a number
-
+
3899228129280 = 211345111983271
BaseRepresentation
bin111000101111011100000…
…110111000100000000000
3111210202120220122021010000
4320233130012320200000
51002341104400114110
612143140343040000
7551465336145501
oct70573406704000
914722526567100
103899228129280
111273720698690
1252b843740000
13223907404773
14d6a1b996ba8
156b6641031c0
hex38bdc1b8800

3899228129280 has 1920 divisors, whose sum is σ = 16302340454400. Its totient is φ = 881462476800.

The previous prime is 3899228129263. The next prime is 3899228129287. The reversal of 3899228129280 is 829218229983.

3899228129280 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 228 + 129 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (3899228129287) 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 159 ways as a sum of consecutive naturals, for example, 14388295545 + ... + 14388295815.

It is an arithmetic number, because the mean of its divisors is an integer number (8490802320).

Almost surely, 23899228129280 is an apocalyptic number.

3899228129280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3899228129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151170227200).

3899228129280 is an abundant number, since it is smaller than the sum of its proper divisors (12403112325120).

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

3899228129280 is a wasteful number, since it uses less digits than its factorization.

3899228129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 3899228129280 in words is "three trillion, eight hundred ninety-nine billion, two hundred twenty-eight million, one hundred twenty-nine thousand, two hundred eighty".