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119640043674144 = 2534771853108877
BaseRepresentation
bin11011001100111111011110…
…010011011101101000100000
3120200121110212100110002010000
4123030333132103131220200
5111140140302140033034
61102241513255340000
734125464545663620
oct3314773623355040
9520543770402100
10119640043674144
113513706a70a994
1211503060681600
13519b013c22b96
1421788751a6880
15dc71a34be599
hex6ccfde4dda20

119640043674144 has 480 divisors, whose sum is σ = 408269003256576. Its totient is φ = 33661602293760.

The previous prime is 119640043674133. The next prime is 119640043674149. The reversal of 119640043674144 is 441476340046911.

119640043674144 is a `hidden beast` number, since 1 + 1 + 9 + 64 + 0 + 0 + 436 + 7 + 4 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (119640043674149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1098800634 + ... + 1098909510.

Almost surely, 2119640043674144 is an apocalyptic number.

119640043674144 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 119640043674144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204134501628288).

119640043674144 is an abundant number, since it is smaller than the sum of its proper divisors (288628959582432).

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

119640043674144 is a wasteful number, since it uses less digits than its factorization.

119640043674144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109830 (or 109813 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 119640043674144 in words is "one hundred nineteen trillion, six hundred forty billion, forty-three million, six hundred seventy-four thousand, one hundred forty-four".