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1144390464 = 26337372557
BaseRepresentation
bin100010000110110…
…0000001101000000
32221202101001121000
41010031200031000
54320430443324
6305320132000
740234105230
oct10415401500
92852331530
101144390464
11537a84548
1227b307000
13153123a29
14abdb5cc0
156a7039c9
hex44360340

1144390464 has 224 divisors, whose sum is σ = 3950370560. Its totient is φ = 318007296.

The previous prime is 1144390459. The next prime is 1144390529. The reversal of 1144390464 is 4640934411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446274 + ... + 448830.

Almost surely, 21144390464 is an apocalyptic number.

1144390464 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 1144390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975185280).

1144390464 is an abundant number, since it is smaller than the sum of its proper divisors (2805980096).

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

1144390464 is a wasteful number, since it uses less digits than its factorization.

1144390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1144390464 is about 33828.8407132139. The cubic root of 1144390464 is about 1045.9832824317.

The spelling of 1144390464 in words is "one billion, one hundred forty-four million, three hundred ninety thousand, four hundred sixty-four".