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1442244012 = 2231121079283
BaseRepresentation
bin101010111110110…
…1110010110101100
310201111211120211220
41111331232112230
510423203302022
6355040143340
750511605016
oct12575562654
93644746756
101442244012
11680122300
12343007b50
1319ca4c831
14d978b1b6
158693b85c
hex55f6e5ac

1442244012 has 72 divisors (see below), whose sum is σ = 3733950528. Its totient is φ = 432912480.

The previous prime is 1442243983. The next prime is 1442244017. The reversal of 1442244012 is 2104422441.

It is a super-2 number, since 2×14422440122 = 4160135580299712288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1442244017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150723 + ... + 160005.

It is an arithmetic number, because the mean of its divisors is an integer number (51860424).

Almost surely, 21442244012 is an apocalyptic number.

1442244012 is a gapful number since it is divisible by the number (12) 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 1442244012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866975264).

1442244012 is an abundant number, since it is smaller than the sum of its proper divisors (2291706516).

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

1442244012 is a wasteful number, since it uses less digits than its factorization.

1442244012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419 (or 9406 counting only the distinct ones).

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

The square root of 1442244012 is about 37976.8878661746. The cubic root of 1442244012 is about 1129.8295124837.

Adding to 1442244012 its reverse (2104422441), we get a palindrome (3546666453).

The spelling of 1442244012 in words is "one billion, four hundred forty-two million, two hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 121 132 214 242 321 363 428 484 642 726 1177 1284 1452 2354 3531 4708 7062 9283 12947 14124 18566 25894 27849 37132 38841 51788 55698 77682 102113 111396 155364 204226 306339 408452 612678 993281 1123243 1225356 1986562 2246486 2979843 3369729 3973124 4492972 5959686 6739458 10926091 11919372 13478916 21852182 32778273 43704364 65556546 120187001 131113092 240374002 360561003 480748004 721122006 1442244012