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1144212480 = 2103453189
BaseRepresentation
bin100010000110011…
…0100110000000000
32221202001000110000
41010030310300000
54320404244410
6305312240000
740232434305
oct10414646000
92852030400
101144212480
11537972854
1227b240000
13153090a08
14abd6b0ac
156a6badc0
hex44334c00

1144212480 has 440 divisors, whose sum is σ = 4280031360. Its totient is φ = 291962880.

The previous prime is 1144212479. The next prime is 1144212491. The reversal of 1144212480 is 842124411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12856276 + ... + 12856364.

It is an arithmetic number, because the mean of its divisors is an integer number (9727344).

Almost surely, 21144212480 is an apocalyptic number.

1144212480 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 1144212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140015680).

1144212480 is an abundant number, since it is smaller than the sum of its proper divisors (3135818880).

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

1144212480 is an equidigital number, since it uses as much as digits as its factorization.

1144212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1144212480 is about 33826.2099561863. The cubic root of 1144212480 is about 1045.9290532891.

Adding to 1144212480 its reverse (842124411), we get a palindrome (1986336891).

The spelling of 1144212480 in words is "one billion, one hundred forty-four million, two hundred twelve thousand, four hundred eighty".