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4442240100 = 2235275119717
BaseRepresentation
bin1000010001100011…
…10011010001100100
3102110120212011211010
410020301303101210
533044203140400
62012444342220
7215040263214
oct41061632144
912416764733
104442240100
11197a58a811
12a3b844970
1355a43234c
14301d92244
151aeece450
hex108c73464

4442240100 has 72 divisors (see below), whose sum is σ = 12870648448. Its totient is φ = 1182960000.

The previous prime is 4442240083. The next prime is 4442240107. The reversal of 4442240100 is 10422444.

It is not an unprimeable number, because it can be changed into a prime (4442240107) 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, 215442 + ... + 235158.

Almost surely, 24442240100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435324224).

4442240100 is an abundant number, since it is smaller than the sum of its proper divisors (8428408348).

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

4442240100 is a wasteful number, since it uses less digits than its factorization.

4442240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20485 (or 20478 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4442240100 is about 66650.1320328775. The cubic root of 4442240100 is about 1643.8695188916.

Adding to 4442240100 its reverse (10422444), we get a palindrome (4452662544).

The spelling of 4442240100 in words is "four billion, four hundred forty-two million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 751 1502 2253 3004 3755 4506 7510 9012 11265 15020 18775 19717 22530 37550 39434 45060 56325 59151 75100 78868 98585 112650 118302 197170 225300 236604 295755 394340 492925 591510 985850 1183020 1478775 1971700 2957550 5915100 14807467 29614934 44422401 59229868 74037335 88844802 148074670 177689604 222112005 296149340 370186675 444224010 740373350 888448020 1110560025 1480746700 2221120050 4442240100