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1144444200 = 233529412027
BaseRepresentation
bin100010000110110…
…1101010100101000
32221202110210022020
41010031231110220
54320434203300
6305321224440
740234421004
oct10415552450
92852423266
101144444200
11538010959
1227b332120
13153142323
14abdcb704
156a7148a0
hex4436d528

1144444200 has 96 divisors (see below), whose sum is σ = 3553299360. Its totient is φ = 304710400.

The previous prime is 1144444099. The next prime is 1144444201. The reversal of 1144444200 is 24444411.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1144444201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 563587 + ... + 565613.

It is an arithmetic number, because the mean of its divisors is an integer number (37013535).

Almost surely, 21144444200 is an apocalyptic number.

1144444200 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 1144444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776649680).

1144444200 is an abundant number, since it is smaller than the sum of its proper divisors (2408855160).

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

1144444200 is a wasteful number, since it uses less digits than its factorization.

1144444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1144444200 is about 33829.6349374332. The cubic root of 1144444200 is about 1045.9996539062. Note that the first 3 decimals are identical.

Adding to 1144444200 its reverse (24444411), we get a palindrome (1168888611).

The spelling of 1144444200 in words is "one billion, one hundred forty-four million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 941 1882 2027 2823 3764 4054 4705 5646 6081 7528 8108 9410 10135 11292 12162 14115 16216 18820 20270 22584 23525 24324 28230 30405 37640 40540 47050 48648 50675 56460 60810 70575 81080 94100 101350 112920 121620 141150 152025 188200 202700 243240 282300 304050 405400 564600 608100 1216200 1907407 3814814 5722221 7629628 9537035 11444442 15259256 19074070 22888884 28611105 38148140 45777768 47685175 57222210 76296280 95370350 114444420 143055525 190740700 228888840 286111050 381481400 572222100 1144444200