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1442666316 = 2237134728109
BaseRepresentation
bin101010111111101…
…0101011101001100
310201112122001010210
41111333111131030
510423310310231
6355053202420
750515314150
oct12577253514
93645561123
101442666316
11680390613
12343190410
1319cb69b10
14d985b060
15869c1a46
hex55fd574c

1442666316 has 96 divisors (see below), whose sum is σ = 4231342080. Its totient is φ = 372374784.

The previous prime is 1442666261. The next prime is 1442666317. The reversal of 1442666316 is 6136662441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1442666317) 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, 37270 + ... + 65378.

It is an arithmetic number, because the mean of its divisors is an integer number (44076480).

Almost surely, 21442666316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442666316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115671040).

1442666316 is an abundant number, since it is smaller than the sum of its proper divisors (2788675764).

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

1442666316 is a wasteful number, since it uses less digits than its factorization.

1442666316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28183 (or 28181 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 1442666316 is about 37982.4474724839. The cubic root of 1442666316 is about 1129.9397769873.

The spelling of 1442666316 in words is "one billion, four hundred forty-two million, six hundred sixty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 52 78 84 91 94 141 156 182 188 273 282 329 364 546 564 611 658 987 1092 1222 1316 1833 1974 2444 3666 3948 4277 7332 8554 12831 17108 25662 28109 51324 56218 84327 112436 168654 196763 337308 365417 393526 590289 730834 787052 1096251 1180578 1321123 1461668 2192502 2361156 2557919 2642246 3963369 4385004 5115838 5284492 7673757 7926738 9247861 10231676 15347514 15853476 17174599 18495722 27743583 30695028 34349198 36991444 51523797 55487166 68698396 103047594 110974332 120222193 206095188 240444386 360666579 480888772 721333158 1442666316