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1442050440 = 233525394733
BaseRepresentation
bin101010111110011…
…1111000110001000
310201111110202022120
41111330333012020
510423131103230
6355032051240
750510140455
oct12574770610
93644422276
101442050440
1167aaaa926
12342b33b20
1319c9b26ac
14d973a82c
15868ee310
hex55f3f188

1442050440 has 64 divisors (see below), whose sum is σ = 4328769600. Its totient is φ = 384314112.

The previous prime is 1442050417. The next prime is 1442050457. The reversal of 1442050440 is 440502441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1442050440.

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, 302314 + ... + 307046.

It is an arithmetic number, because the mean of its divisors is an integer number (67637025).

Almost surely, 21442050440 is an apocalyptic number.

1442050440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442050440 is an abundant number, since it is smaller than the sum of its proper divisors (2886719160).

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

1442050440 is a wasteful number, since it uses less digits than its factorization.

1442050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1442050440 is about 37974.3392305910. The cubic root of 1442050440 is about 1129.7789632142.

Adding to 1442050440 its reverse (440502441), we get a palindrome (1882552881).

The spelling of 1442050440 in words is "one billion, four hundred forty-two million, fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2539 4733 5078 7617 9466 10156 12695 14199 15234 18932 20312 23665 25390 28398 30468 37864 38085 47330 50780 56796 60936 70995 76170 94660 101560 113592 141990 152340 189320 283980 304680 567960 12017087 24034174 36051261 48068348 60085435 72102522 96136696 120170870 144205044 180256305 240341740 288410088 360512610 480683480 721025220 1442050440