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4442150412 = 22327411912251
BaseRepresentation
bin1000010001100010…
…11101011000001100
3102110120200121210100
410020301131120030
533044142303122
62012442411100
7215036440560
oct41061353014
912416617710
104442150412
11197a529397
12a3b800a90
1355a40058b
14301d6b6a0
151aeeb2aac
hex108c5d60c

4442150412 has 144 divisors (see below), whose sum is σ = 13220573184. Its totient is φ = 1231200000.

The previous prime is 4442150407. The next prime is 4442150441. The reversal of 4442150412 is 2140512444.

4442150412 is a `hidden beast` number, since 444 + 215 + 0 + 4 + 1 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1972287 + ... + 1974537.

It is an arithmetic number, because the mean of its divisors is an integer number (91809536).

Almost surely, 24442150412 is an apocalyptic number.

4442150412 is a gapful number since it is divisible by the number (42) 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 4442150412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610286592).

4442150412 is an abundant number, since it is smaller than the sum of its proper divisors (8778422772).

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

4442150412 is a wasteful number, since it uses less digits than its factorization.

4442150412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4442150412 is about 66649.4592026072. The cubic root of 4442150412 is about 1643.8584556774.

Adding to 4442150412 its reverse (2140512444), we get a palindrome (6582662856).

The spelling of 4442150412 in words is "four billion, four hundred forty-two million, one hundred fifty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 191 246 252 287 369 382 492 573 574 738 764 861 1146 1148 1337 1476 1719 1722 2251 2292 2583 2674 3438 3444 4011 4502 5166 5348 6753 6876 7831 8022 9004 10332 12033 13506 15662 15757 16044 20259 23493 24066 27012 31324 31514 40518 46986 47271 48132 54817 63028 70479 81036 92291 93972 94542 109634 140958 141813 164451 184582 189084 219268 276873 281916 283626 328902 369164 429941 493353 553746 567252 646037 657804 830619 859882 986706 1107492 1289823 1292074 1661238 1719764 1938111 1973412 2579646 2584148 3009587 3322476 3869469 3876222 5159292 5814333 6019174 7738938 7752444 9028761 11628666 12038348 15477876 17627581 18057522 23257332 27086283 35255162 36115044 52882743 54172566 70510324 105765486 108345132 123393067 158648229 211530972 246786134 317296458 370179201 493572268 634592916 740358402 1110537603 1480716804 2221075206 4442150412