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1117999943424 = 28337213318191
BaseRepresentation
bin10000010001001101111…
…111010100111100000000
310221212202100010122011000
4100101031333110330000
5121304130441142144
62213334014452000
7143526036502500
oct20211577247400
93855670118130
101117999943424
113a11609049a1
12160813b04000
1381571cb8b80
143c17bcbba00
151e135d47769
hex1044dfd4f00

1117999943424 has 864 divisors, whose sum is σ = 4275862241280. Its totient is φ = 285310771200.

The previous prime is 1117999943407. The next prime is 1117999943443. The reversal of 1117999943424 is 4243499997111.

1117999943424 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 99 + 99 + 434 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 136487169 + ... + 136495359.

Almost surely, 21117999943424 is an apocalyptic number.

1117999943424 is a gapful number since it is divisible by the number (14) 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 1117999943424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137931120640).

1117999943424 is an abundant number, since it is smaller than the sum of its proper divisors (3157862297856).

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

1117999943424 is a wasteful number, since it uses less digits than its factorization.

1117999943424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8247 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 1117999943424 in words is "one trillion, one hundred seventeen billion, nine hundred ninety-nine million, nine hundred forty-three thousand, four hundred twenty-four".