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1144133300 = 225279251577
BaseRepresentation
bin100010000110010…
…0001011010110100
32221201212222211102
41010030201122310
54320344231200
6305310425232
740231654412
oct10414413264
92851788742
101144133300
11537919312
1227b202218
1315306396b
14abd4a2b2
156a6a26d5
hex443216b4

1144133300 has 72 divisors (see below), whose sum is σ = 2528588160. Its totient is φ = 449280000.

The previous prime is 1144133299. The next prime is 1144133327. The reversal of 1144133300 is 33314411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1982612 + ... + 1983188.

It is an arithmetic number, because the mean of its divisors is an integer number (35119280).

Almost surely, 21144133300 is an apocalyptic number.

1144133300 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 1144133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264294080).

1144133300 is an abundant number, since it is smaller than the sum of its proper divisors (1384454860).

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

1144133300 is a wasteful number, since it uses less digits than its factorization.

1144133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1144133300 is about 33825.0395417359. The cubic root of 1144133300 is about 1045.9049264845.

Adding to 1144133300 its reverse (33314411), we get a palindrome (1177447711).

The spelling of 1144133300 in words is "one billion, one hundred forty-four million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 251 316 395 502 577 790 1004 1154 1255 1580 1975 2308 2510 2885 3950 5020 5770 6275 7900 11540 12550 14425 19829 25100 28850 39658 45583 57700 79316 91166 99145 144827 182332 198290 227915 289654 396580 455830 495725 579308 724135 911660 991450 1139575 1448270 1982900 2279150 2896540 3620675 4558300 7241350 11441333 14482700 22882666 45765332 57206665 114413330 228826660 286033325 572066650 1144133300