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111428460000 = 2534541113237
BaseRepresentation
bin110011111000110100…
…1110101110111100000
3101122121122022021010000
41213301221311313200
53311201141210000
6123104534340000
711023205165604
oct1476151656740
9348548267100
10111428460000
1143290508270
12197191ba600
13a67a431700
145570bc3504
152d72710000
hex19f1a75de0

111428460000 has 1800 divisors, whose sum is σ = 496812925224. Its totient is φ = 24261120000.

The previous prime is 111428459993. The next prime is 111428460001. The reversal of 111428460000 is 64824111.

It is a happy number.

111428460000 is a `hidden beast` number, since 1 + 11 + 42 + 8 + 4 + 600 + 0 + 0 = 666.

111428460000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111428460001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 3011579982 + ... + 3011580018.

Almost surely, 2111428460000 is an apocalyptic number.

111428460000 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 111428460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248406462612).

111428460000 is an abundant number, since it is smaller than the sum of its proper divisors (385384465224).

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

111428460000 is a wasteful number, since it uses less digits than its factorization.

111428460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 111428460000 in words is "one hundred eleven billion, four hundred twenty-eight million, four hundred sixty thousand".