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1143981810432 = 28322367332077
BaseRepresentation
bin10000101001011010101…
…000010010001100000000
311001100211001121020021200
4100221122220102030000
5122220333320413212
62233312112221200
7145435635643056
oct20513250221400
94040731536250
101143981810432
114011839aa15a
1216586523a800
1383b52a80b86
143d5248121d6
151eb56d186dc
hex10a5aa12300

1143981810432 has 216 divisors, whose sum is σ = 3447011035104. Its totient is φ = 364194496512.

The previous prime is 1143981810427. The next prime is 1143981810443. The reversal of 1143981810432 is 2340181893411.

1143981810432 is a `hidden beast` number, since 1 + 1 + 4 + 39 + 8 + 181 + 0 + 432 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35647578 + ... + 35679654.

Almost surely, 21143981810432 is an apocalyptic number.

1143981810432 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 1143981810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723505517552).

1143981810432 is an abundant number, since it is smaller than the sum of its proper divisors (2303029224672).

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

1143981810432 is a wasteful number, since it uses less digits than its factorization.

1143981810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32795 (or 32778 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1143981810432 in words is "one trillion, one hundred forty-three billion, nine hundred eighty-one million, eight hundred ten thousand, four hundred thirty-two".