Search a number
-
+
4388080931000 = 23531313122711351
BaseRepresentation
bin111111110110101110000…
…000010101000010111000
3120112111101220102122000222
4333312232000111002320
51033343242204243000
613155505003115212
7632012510331614
oct77665600250270
916474356378028
104388080931000
111441a7a31a018
125aa533512b08
1325aa42c9a310
14112554550344
15792262bca85
hex3fdae0150b8

4388080931000 has 256 divisors, whose sum is σ = 11192447185920. Its totient is φ = 1600622400000.

The previous prime is 4388080930991. The next prime is 4388080931029. The reversal of 4388080931000 is 1390808834.

4388080931000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43880809310002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386575325 + ... + 386586675.

It is an arithmetic number, because the mean of its divisors is an integer number (43720496820).

Almost surely, 24388080931000 is an apocalyptic number.

4388080931000 is a gapful number since it is divisible by the number (40) 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 4388080931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596223592960).

4388080931000 is an abundant number, since it is smaller than the sum of its proper divisors (6804366254920).

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

4388080931000 is a wasteful number, since it uses less digits than its factorization.

4388080931000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743 (or 11729 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 4388080931000 in words is "four trillion, three hundred eighty-eight billion, eighty million, nine hundred thirty-one thousand".