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1442011140 = 2233510924499
BaseRepresentation
bin101010111110011…
…0101100000000100
310201111101202102000
41111330311200010
510423123324030
6355031145300
750506615053
oct12574654004
93644352360
101442011140
1167aa83349
12342b15230
1319c99a83b
14d972a39a
15868e2860
hex55f35804

1442011140 has 96 divisors (see below), whose sum is σ = 4527600000. Its totient is φ = 380992896.

The previous prime is 1442011139. The next prime is 1442011141. The reversal of 1442011140 is 411102441.

It is an interprime number because it is at equal distance from previous prime (1442011139) and next prime (1442011141).

It is a super-2 number, since 2×14420111402 = 4158792255768199200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1442011141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46611 + ... + 71109.

It is an arithmetic number, because the mean of its divisors is an integer number (47162500).

Almost surely, 21442011140 is an apocalyptic number.

1442011140 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 1442011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263800000).

1442011140 is an abundant number, since it is smaller than the sum of its proper divisors (3085588860).

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

1442011140 is a wasteful number, since it uses less digits than its factorization.

1442011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24626 (or 24618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1442011140 is about 37973.8217723737. The cubic root of 1442011140 is about 1129.7686998847.

Adding to 1442011140 its reverse (411102441), we get a palindrome (1853113581).

The spelling of 1442011140 in words is "one billion, four hundred forty-two million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 436 540 545 654 981 1090 1308 1635 1962 2180 2943 3270 3924 4905 5886 6540 9810 11772 14715 19620 24499 29430 48998 58860 73497 97996 122495 146994 220491 244990 293988 367485 440982 489980 661473 734970 881964 1102455 1322946 1469940 2204910 2645892 2670391 3307365 4409820 5340782 6614730 8011173 10681564 13229460 13351955 16022346 24033519 26703910 32044692 40055865 48067038 53407820 72100557 80111730 96134076 120167595 144201114 160223460 240335190 288402228 360502785 480670380 721005570 1442011140