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1144421520 = 2435114197109
BaseRepresentation
bin100010000110110…
…0111110010010000
32221202102122012020
41010031213302100
54320432442040
6305320531440
740234264614
oct10415476220
92852378166
101144421520
11537aa5910
1227b320b80
13153134bc8
14abdc3344
156a70ccd0
hex44367c90

1144421520 has 320 divisors, whose sum is σ = 4042241280. Its totient is φ = 265420800.

The previous prime is 1144421501. The next prime is 1144421539. The reversal of 1144421520 is 251244411.

It is an interprime number because it is at equal distance from previous prime (1144421501) and next prime (1144421539).

It is a super-2 number, since 2×11444215202 = 2619401230878220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 10499226 + ... + 10499334.

It is an arithmetic number, because the mean of its divisors is an integer number (12632004).

Almost surely, 21144421520 is an apocalyptic number.

1144421520 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 1144421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021120640).

1144421520 is an abundant number, since it is smaller than the sum of its proper divisors (2897819760).

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

1144421520 is a wasteful number, since it uses less digits than its factorization.

1144421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1144421520 is about 33829.2997267162. The cubic root of 1144421520 is about 1045.9927441681.

Adding to 1144421520 its reverse (251244411), we get a palindrome (1395665931).

The spelling of 1144421520 in words is "one billion, one hundred forty-four million, four hundred twenty-one thousand, five hundred twenty".