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1149143554944 = 2732711411072953
BaseRepresentation
bin10000101110001110010…
…010110001101110000000
311001212010210100000121100
4100232032102301232000
5122311421222224234
62235524222254400
7146010564023640
oct20561622615600
94055123300540
101149143554944
11403392640210
12166865a27400
1384496291278
143d894178520
151ed5a06e399
hex10b8e4b1b80

1149143554944 has 768 divisors, whose sum is σ = 4264207234560. Its totient is φ = 288379699200.

The previous prime is 1149143554939. The next prime is 1149143554963. The reversal of 1149143554944 is 4494553419411.

1149143554944 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 1 + 43 + 554 + 9 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389142972 + ... + 389145924.

It is an arithmetic number, because the mean of its divisors is an integer number (5552353170).

Almost surely, 21149143554944 is an apocalyptic number.

1149143554944 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 1149143554944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132103617280).

1149143554944 is an abundant number, since it is smaller than the sum of its proper divisors (3115063679616).

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

1149143554944 is a wasteful number, since it uses less digits than its factorization.

1149143554944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3124 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 1149143554944 in words is "one trillion, one hundred forty-nine billion, one hundred forty-three million, five hundred fifty-four thousand, nine hundred forty-four".