Search a number
-
+
339880940421120 = 214335731719273
BaseRepresentation
bin100110101000111101011001…
…0101110000100000000000000
31122120102022010010021022221000
41031101322302232010000000
5324022102131221433440
63202511052024332000
7131406405356031000
oct11521726256040000
91576368103238830
10339880940421120
119932977420a80a
1232153253314000
1311785834592007
145dd047a848000
15294613ae38730
hex1351eb2b84000

339880940421120 has 5760 divisors, whose sum is σ = 1596383074944000. Its totient is φ = 68320078331904.

The previous prime is 339880940421073. The next prime is 339880940421151. The reversal of 339880940421120 is 21124049088933.

339880940421120 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 8 + 0 + 94 + 0 + 421 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4655903293404 + ... + 4655903293476.

It is an arithmetic number, because the mean of its divisors is an integer number (277149839400).

Almost surely, 2339880940421120 is an apocalyptic number.

339880940421120 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 339880940421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798191537472000).

339880940421120 is an abundant number, since it is smaller than the sum of its proper divisors (1256502134522880).

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

339880940421120 is an equidigital number, since it uses as much as digits as its factorization.

339880940421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 339880940421120 in words is "three hundred thirty-nine trillion, eight hundred eighty billion, nine hundred forty million, four hundred twenty-one thousand, one hundred twenty".