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1442014120 = 2351719111611
BaseRepresentation
bin101010111110011…
…0110001110101000
310201111101220111101
41111330312032220
510423123422440
6355031211144
750506626541
oct12574661650
93644356441
101442014120
1167aa85608
12342b16ab4
1319c99bcc1
14d972b4c8
15868e369a
hex55f363a8

1442014120 has 64 divisors (see below), whose sum is σ = 3616228800. Its totient is φ = 514298880.

The previous prime is 1442014109. The next prime is 1442014127. The reversal of 1442014120 is 214102441.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1442014127) by changing a digit.

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, 42886 + ... + 68725.

It is an arithmetic number, because the mean of its divisors is an integer number (56503575).

Almost surely, 21442014120 is an apocalyptic number.

1442014120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442014120 is an abundant number, since it is smaller than the sum of its proper divisors (2174214680).

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

1442014120 is a wasteful number, since it uses less digits than its factorization.

1442014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111658 (or 111654 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1442014120 is about 37973.8610099105. The cubic root of 1442014120 is about 1129.7694781284.

Adding to 1442014120 its reverse (214102441), we get a palindrome (1656116561).

The spelling of 1442014120 in words is "one billion, four hundred forty-two million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 111611 223222 446444 558055 892888 1116110 1897387 2120609 2232220 3794774 4241218 4464440 7589548 8482436 9486935 10603045 15179096 16964872 18973870 21206090 36050353 37947740 42412180 72100706 75895480 84824360 144201412 180251765 288402824 360503530 721007060 1442014120