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114989359800 = 23352759613757
BaseRepresentation
bin110101100010111100…
…1100110001010111000
3101222210210202201022210
41223011321212022320
53340444234003200
6124454141015120
711210354300640
oct1530571461270
9358723681283
10114989359800
114484854aa67
121a3518544a0
13aac70a1703
1457cbab5520
152ed014b650
hex1ac5e662b8

114989359800 has 384 divisors, whose sum is σ = 415519833600. Its totient is φ = 25761576960.

The previous prime is 114989359787. The next prime is 114989359817. The reversal of 114989359800 is 8953989411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151901022 + ... + 151901778.

It is an arithmetic number, because the mean of its divisors is an integer number (1082082900).

Almost surely, 2114989359800 is an apocalyptic number.

114989359800 is a gapful number since it is divisible by the number (10) 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 114989359800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207759916800).

114989359800 is an abundant number, since it is smaller than the sum of its proper divisors (300530473800).

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

114989359800 is a wasteful number, since it uses less digits than its factorization.

114989359800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 57.

The spelling of 114989359800 in words is "one hundred fourteen billion, nine hundred eighty-nine million, three hundred fifty-nine thousand, eight hundred".