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1442324240 = 24574162819
BaseRepresentation
bin101010111111000…
…0001111100010000
310201111222122220022
41111332001330100
510423213333430
6355042003012
750512360640
oct12576017420
93644878808
101442324240
11680177605
12343046468
1319ca7a1c6
14d97ac520
15869554e5
hex55f81f10

1442324240 has 80 divisors (see below), whose sum is σ = 3925998720. Its totient is φ = 482442240.

The previous prime is 1442324237. The next prime is 1442324243. The reversal of 1442324240 is 424232441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1442324237) and next prime (1442324243).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1442324243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8450 + ... + 54369.

It is an arithmetic number, because the mean of its divisors is an integer number (49074984).

Almost surely, 21442324240 is an apocalyptic number.

1442324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442324240 is an abundant number, since it is smaller than the sum of its proper divisors (2483674480).

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

1442324240 is a wasteful number, since it uses less digits than its factorization.

1442324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62880 (or 62874 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 1442324240 is about 37977.9441255053. The cubic root of 1442324240 is about 1129.8504618470.

Adding to 1442324240 its reverse (424232441), we get a palindrome (1866556681).

The spelling of 1442324240 in words is "one billion, four hundred forty-two million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960 62819 125638 251276 314095 439733 502552 628190 879466 1005104 1256380 1758932 2198665 2512760 2575579 3517864 4397330 5025520 5151158 7035728 8794660 10302316 12877895 17589320 18029053 20604632 25755790 35178640 36058106 41209264 51511580 72116212 90145265 103023160 144232424 180290530 206046320 288464848 360581060 721162120 1442324240