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4442100144 = 243428921577
BaseRepresentation
bin1000010001100010…
…10001000110110000
3102110120121001211120
410020301101012300
533044134201034
62012441342240
7215036141166
oct41061210660
912416531746
104442100144
11197a4a4649
12a3b797980
1355a3b3731
14301d57236
151aeea2c49
hex108c511b0

4442100144 has 40 divisors (see below), whose sum is σ = 11478632880. Its totient is φ = 1480286208.

The previous prime is 4442100073. The next prime is 4442100163. The reversal of 4442100144 is 4410012444.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195084 + ... + 216660.

It is an arithmetic number, because the mean of its divisors is an integer number (286965822).

Almost surely, 24442100144 is an apocalyptic number.

It is an amenable number.

4442100144 is an abundant number, since it is smaller than the sum of its proper divisors (7036532736).

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

4442100144 is a wasteful number, since it uses less digits than its factorization.

4442100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25877 (or 25871 counting only the distinct ones).

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

The square root of 4442100144 is about 66649.0820942044. The cubic root of 4442100144 is about 1643.8522549427.

Adding to 4442100144 its reverse (4410012444), we get a palindrome (8852112588).

The spelling of 4442100144 in words is "four billion, four hundred forty-two million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4289 8578 12867 17156 21577 25734 34312 43154 51468 64731 68624 86308 102936 129462 172616 205872 258924 345232 517848 1035696 92543753 185087506 277631259 370175012 555262518 740350024 1110525036 1480700048 2221050072 4442100144