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1442042320 = 24532595531
BaseRepresentation
bin101010111110011…
…1101000111010000
310201111110100011211
41111330331013100
510423130323240
6355031545504
750510105005
oct12574750720
93644410154
101442042320
1167aaa4814
12342b2b294
1319c9abaa4
14d97378ac
15868ebbea
hex55f3d1d0

1442042320 has 40 divisors (see below), whose sum is σ = 3354383520. Its totient is φ = 576535680.

The previous prime is 1442042309. The next prime is 1442042351. The reversal of 1442042320 is 232402441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1442042291 and 1442042300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257955 + ... + 263485.

It is an arithmetic number, because the mean of its divisors is an integer number (83859588).

Almost surely, 21442042320 is an apocalyptic number.

1442042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442042320 is an abundant number, since it is smaller than the sum of its proper divisors (1912341200).

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

1442042320 is a wasteful number, since it uses less digits than its factorization.

1442042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8797 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1442042320 is about 37974.2323161377. The cubic root of 1442042320 is about 1129.7768426637.

Adding to 1442042320 its reverse (232402441), we get a palindrome (1674444761).

The spelling of 1442042320 in words is "one billion, four hundred forty-two million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3259 5531 6518 11062 13036 16295 22124 26072 27655 32590 44248 52144 55310 65180 88496 110620 130360 221240 260720 442480 18025529 36051058 72102116 90127645 144204232 180255290 288408464 360510580 721021160 1442042320