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1444040100 = 2232527272207
BaseRepresentation
bin101011000010010…
…0100110110100100
310201122012211121200
41112010210312210
510424133240400
6355142442500
750533065306
oct12604446644
93648184550
101444040100
11681139778
12343733430
131a022b1c9
14d9ad7976
1586b93b00
hex56124da4

1444040100 has 108 divisors (see below), whose sum is σ = 4534543104. Its totient is φ = 384373440.

The previous prime is 1444040099. The next prime is 1444040111. The reversal of 1444040100 is 10404441.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 653197 + ... + 655403.

Almost surely, 21444040100 is an apocalyptic number.

1444040100 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 1444040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267271552).

1444040100 is an abundant number, since it is smaller than the sum of its proper divisors (3090503004).

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

1444040100 is a wasteful number, since it uses less digits than its factorization.

1444040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1444040100 is about 38000.5276279159. The cubic root of 1444040100 is about 1130.2983262246.

Adding to 1444040100 its reverse (10404441), we get a palindrome (1454444541).

It can be divided in two parts, 144 and 4040100, that multiplied together give a square (581774400 = 241202).

The spelling of 1444040100 in words is "one billion, four hundred forty-four million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 727 900 1454 2181 2207 2908 3635 4362 4414 6543 6621 7270 8724 8828 10905 11035 13086 13242 14540 18175 19863 21810 22070 26172 26484 32715 33105 36350 39726 43620 44140 54525 55175 65430 66210 72700 79452 99315 109050 110350 130860 132420 163575 165525 198630 218100 220700 327150 331050 397260 496575 654300 662100 993150 1604489 1986300 3208978 4813467 6417956 8022445 9626934 14440401 16044890 19253868 24067335 28880802 32089780 40112225 48134670 57761604 72202005 80224450 96269340 120336675 144404010 160448900 240673350 288808020 361010025 481346700 722020050 1444040100