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442300030440 = 23359187401201
BaseRepresentation
bin1100110111110110010…
…00101101110111101000
31120021122122112120002220
412123323020231313220
524221312301433230
6535105000354040
743645415140632
oct6337310556750
91507578476086
10442300030440
1116063a922344
1271879475920
133292a076858
141759c009a52
15b78a2aad10
hex66fb22dde8

442300030440 has 64 divisors (see below), whose sum is σ = 1327047831360. Its totient is φ = 117933542400.

The previous prime is 442300030387. The next prime is 442300030453. The reversal of 442300030440 is 44030003244.

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 442300030440.

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, 901840 + ... + 1303040.

It is an arithmetic number, because the mean of its divisors is an integer number (20735122365).

Almost surely, 2442300030440 is an apocalyptic number.

442300030440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442300030440 is an abundant number, since it is smaller than the sum of its proper divisors (884747800920).

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

442300030440 is a wasteful number, since it uses less digits than its factorization.

442300030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410402 (or 410398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 442300030440 its reverse (44030003244), we get a palindrome (486330033684).

The spelling of 442300030440 in words is "four hundred forty-two billion, three hundred million, thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9187 18374 27561 36748 45935 55122 73496 91870 110244 137805 183740 220488 275610 367480 401201 551220 802402 1102440 1203603 1604804 2006005 2407206 3209608 4012010 4814412 6018015 8024020 9628824 12036030 16048040 24072060 48144120 3685833587 7371667174 11057500761 14743334348 18429167935 22115001522 29486668696 36858335870 44230003044 55287503805 73716671740 88460006088 110575007610 147433343480 221150015220 442300030440