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22141334000440 = 2352771998315343
BaseRepresentation
bin1010000100011001011100…
…10110010001001100111000
32220101200122122011110221201
411002030232112101030320
510400230423001003230
6115031331033143544
74443441616506244
oct502145626211470
986350578143851
1022141334000440
1170670a5902266
12259717bb5abb4
13c47bc38bab65
1456790958b424
15285e30c3e5ca
hex14232e591338

22141334000440 has 32 divisors (see below), whose sum is σ = 49997849906880. Its totient is φ = 8824560550272.

The previous prime is 22141334000411. The next prime is 22141334000497. The reversal of 22141334000440 is 4400043314122.

It is a junction number, because it is equal to n+sod(n) for n = 22141334000399 and 22141334000408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999146592 + ... + 999168751.

It is an arithmetic number, because the mean of its divisors is an integer number (1562432809590).

Almost surely, 222141334000440 is an apocalyptic number.

22141334000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22141334000440 is an abundant number, since it is smaller than the sum of its proper divisors (27856515906440).

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

22141334000440 is a wasteful number, since it uses less digits than its factorization.

22141334000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998315631 (or 1998315627 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22141334000440 its reverse (4400043314122), we get a palindrome (26541377314562).

The spelling of 22141334000440 in words is "twenty-two trillion, one hundred forty-one billion, three hundred thirty-four million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 277 554 1108 1385 2216 2770 5540 11080 1998315343 3996630686 7993261372 9991576715 15986522744 19983153430 39966306860 79932613720 553533350011 1107066700022 2214133400044 2767666750055 4428266800088 5535333500110 11070667000220 22141334000440