Search a number
-
+
4442214120 = 2335254314557
BaseRepresentation
bin1000010001100011…
…01100111011101000
3102110120210212011220
410020301230323220
533044201322440
62012444022040
7215040124401
oct41061547350
912416725156
104442214120
11197a572243
12a3b831920
1355a423586
14301d869a8
151aeec68d0
hex108c6cee8

4442214120 has 64 divisors (see below), whose sum is σ = 13332798720. Its totient is φ = 1184043264.

The previous prime is 4442214109. The next prime is 4442214131. The reversal of 4442214120 is 214122444.

It is an interprime number because it is at equal distance from previous prime (4442214109) and next prime (4442214131).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297882 + ... + 312438.

It is an arithmetic number, because the mean of its divisors is an integer number (208324980).

Almost surely, 24442214120 is an apocalyptic number.

4442214120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442214120 is an abundant number, since it is smaller than the sum of its proper divisors (8890584600).

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

4442214120 is a wasteful number, since it uses less digits than its factorization.

4442214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17114 (or 17110 counting only the distinct ones).

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

The square root of 4442214120 is about 66649.9371342539. The cubic root of 4442214120 is about 1643.8663142162.

Adding to 4442214120 its reverse (214122444), we get a palindrome (4656336564).

The spelling of 4442214120 in words is "four billion, four hundred forty-two million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2543 5086 7629 10172 12715 14557 15258 20344 25430 29114 30516 38145 43671 50860 58228 61032 72785 76290 87342 101720 116456 145570 152580 174684 218355 291140 305160 349368 436710 582280 873420 1746840 37018451 74036902 111055353 148073804 185092255 222110706 296147608 370184510 444221412 555276765 740369020 888442824 1110553530 1480738040 2221107060 4442214120