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442300014520 = 235713121510993
BaseRepresentation
bin1100110111110110010…
…00101001111110111000
31120021122122111202021021
412123323020221332320
524221312300431040
6535105000152224
743645415043340
oct6337310517670
91507578452237
10442300014520
1116063a911391
1271879468674
133292a06c530
141759c003d20
15b78a2a624a
hex66fb229fb8

442300014520 has 64 divisors (see below), whose sum is σ = 1224830819520. Its totient is φ = 139980662784.

The previous prime is 442300014503. The next prime is 442300014547. The reversal of 442300014520 is 25410003244.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60751857 + ... + 60759136.

It is an arithmetic number, because the mean of its divisors is an integer number (19137981555).

Almost surely, 2442300014520 is an apocalyptic number.

442300014520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442300014520 is an abundant number, since it is smaller than the sum of its proper divisors (782530805000).

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

442300014520 is a wasteful number, since it uses less digits than its factorization.

442300014520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121511024 (or 121511020 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 442300014520 its reverse (25410003244), we get a palindrome (467710017764).

The spelling of 442300014520 in words is "four hundred forty-two billion, three hundred million, fourteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 121510993 243021986 486043972 607554965 850576951 972087944 1215109930 1579642909 1701153902 2430219860 3159285818 3402307804 4252884755 4860439720 6318571636 6804615608 7898214545 8505769510 11057500363 12637143272 15796429090 17011539020 22115000726 31592858180 34023078040 44230001452 55287501815 63185716360 88460002904 110575003630 221150007260 442300014520