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1442040520 = 235412933001
BaseRepresentation
bin101010111110011…
…1100101011001000
310201111110020201011
41111330330223020
510423130244040
6355031533304
750510066524
oct12574745310
93644406634
101442040520
1167aaa3428
12342b2a234
1319c9ab01b
14d9736d84
15868eb3ea
hex55f3cac8

1442040520 has 64 divisors (see below), whose sum is σ = 3336182640. Its totient is φ = 560640000.

The previous prime is 1442040503. The next prime is 1442040541. The reversal of 1442040520 is 250402441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 636956644 + 805083876 = 25238^2 + 28374^2 .

It is a super-2 number, since 2×14420405202 = 4158961722643740800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1442040491 and 1442040500.

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 15 ways as a sum of consecutive naturals, for example, 479020 + ... + 482020.

Almost surely, 21442040520 is an apocalyptic number.

1442040520 is a gapful number since it is divisible by the number (10) 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 1442040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668091320).

1442040520 is an abundant number, since it is smaller than the sum of its proper divisors (1894142120).

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

1442040520 is a wasteful number, since it uses less digits than its factorization.

1442040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 1442040520 is about 37974.2086158487. The cubic root of 1442040520 is about 1129.7763725898.

Adding to 1442040520 its reverse (250402441), we get a palindrome (1692442961).

The spelling of 1442040520 in words is "one billion, four hundred forty-two million, forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 293 328 410 586 820 1172 1465 1640 2344 2930 3001 5860 6002 11720 12004 12013 15005 24008 24026 30010 48052 60020 60065 96104 120040 120130 123041 240260 246082 480520 492164 615205 879293 984328 1230410 1758586 2460820 3517172 4396465 4921640 7034344 8792930 17585860 35171720 36051013 72102026 144204052 180255065 288408104 360510130 721020260 1442040520