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1114743168 = 27337115971
BaseRepresentation
bin100001001110001…
…1010000110000000
32212200120211011000
41002130122012000
54240333240133
6302340452000
736424106040
oct10234320600
92780524130
101114743168
11522275050
122713aa000
13149c43456
14a8099720
1567ce9413
hex4271a180

1114743168 has 512 divisors, whose sum is σ = 4230144000. Its totient is φ = 280627200.

The previous prime is 1114743131. The next prime is 1114743181. The reversal of 1114743168 is 8613474111.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 15700573 + ... + 15700643.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 21114743168 is an apocalyptic number.

1114743168 is a gapful number since it is divisible by the number (18) 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 1114743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115072000).

1114743168 is an abundant number, since it is smaller than the sum of its proper divisors (3115400832).

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

1114743168 is a wasteful number, since it uses less digits than its factorization.

1114743168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 1114743168 is about 33387.7697368363. The cubic root of 1114743168 is about 1036.8715056993.

The spelling of 1114743168 in words is "one billion, one hundred fourteen million, seven hundred forty-three thousand, one hundred sixty-eight".