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1442204412 = 2231153211977
BaseRepresentation
bin101010111110110…
…0100101011111100
310201111202120112020
41111331210223330
510423201020122
6355035240140
750511351405
oct12575445374
93644676466
101442204412
116800a5580
12342ba9050
1319ca377bc
14d977a9ac
158692ec5c
hex55f64afc

1442204412 has 96 divisors (see below), whose sum is σ = 3761904384. Its totient is φ = 426316800.

The previous prime is 1442204411. The next prime is 1442204417. The reversal of 1442204412 is 2144022441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442204411) 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 31 ways as a sum of consecutive naturals, for example, 1475668 + ... + 1476644.

It is an arithmetic number, because the mean of its divisors is an integer number (39186504).

Almost surely, 21442204412 is an apocalyptic number.

1442204412 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 1442204412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880952192).

1442204412 is an abundant number, since it is smaller than the sum of its proper divisors (2319699972).

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

1442204412 is a wasteful number, since it uses less digits than its factorization.

1442204412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1257 counting only the distinct ones).

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

The square root of 1442204412 is about 37976.3664928597. The cubic root of 1442204412 is about 1129.8191717328.

Adding to 1442204412 its reverse (2144022441), we get a palindrome (3586226853).

The spelling of 1442204412 in words is "one billion, four hundred forty-two million, two hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 211 212 318 422 583 633 636 844 977 1166 1266 1749 1954 2321 2332 2532 2931 3498 3908 4642 5862 6963 6996 9284 10747 11183 11724 13926 21494 22366 27852 32241 33549 42988 44732 51781 64482 67098 103562 123013 128964 134196 155343 206147 207124 246026 310686 369039 412294 492052 569591 618441 621372 738078 824588 1139182 1236882 1476156 1708773 2267617 2278364 2473764 3417546 4535234 6802851 6835092 9070468 10925791 13605702 21851582 27211404 32777373 43703164 65554746 120183701 131109492 240367402 360551103 480734804 721102206 1442204412