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1144328136192 = 29321721734967
BaseRepresentation
bin10000101001101111010…
…001011010011000000000
311001101201012021101220200
4100221233101122120000
5122222041000324232
62233410323205200
7145450342445133
oct20515721323000
94041635241820
101144328136192
1140134144489a
12165941216800
1383ba974b867
143d55880421a
151eb7742877c
hex10a6f45a600

1144328136192 has 360 divisors, whose sum is σ = 3529296918576. Its totient is φ = 356857872384.

The previous prime is 1144328136137. The next prime is 1144328136229. The reversal of 1144328136192 is 2916318234411.

1144328136192 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 3 + 28 + 1 + 3 + 619 + 2 = 666.

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 35 ways as a sum of consecutive naturals, for example, 230383693 + ... + 230388659.

Almost surely, 21144328136192 is an apocalyptic number.

1144328136192 is a gapful number since it is divisible by the number (12) 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 1144328136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764648459288).

1144328136192 is an abundant number, since it is smaller than the sum of its proper divisors (2384968782384).

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

1144328136192 is a wasteful number, since it uses less digits than its factorization.

1144328136192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5162 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 1144328136192 in words is "one trillion, one hundred forty-four billion, three hundred twenty-eight million, one hundred thirty-six thousand, one hundred ninety-two".