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1144475640 = 23325711194153
BaseRepresentation
bin100010000110111…
…0100111111111000
32221202112101102200
41010031310333320
54320441210030
6305322030200
740234611450
oct10415647770
92852471380
101144475640
11538032540
1227b348360
13153153729
14abdd8d60
156a71dd60
hex44374ff8

1144475640 has 768 divisors, whose sum is σ = 5094835200. Its totient is φ = 215654400.

The previous prime is 1144475623. The next prime is 1144475641. The reversal of 1144475640 is 465744411.

It is a happy number.

1144475640 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 7 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1144475595 and 1144475604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144475641) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 21593854 + ... + 21593906.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 21144475640 is an apocalyptic number.

1144475640 is a gapful number since it is divisible by the number (10) 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 1144475640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547417600).

1144475640 is an abundant number, since it is smaller than the sum of its proper divisors (3950359560).

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

1144475640 is a wasteful number, since it uses less digits than its factorization.

1144475640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1144475640 is about 33830.0996155790. The cubic root of 1144475640 is about 1046.0092323338.

The spelling of 1144475640 in words is "one billion, one hundred forty-four million, four hundred seventy-five thousand, six hundred forty".