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22540264262142 = 23112913785960019
BaseRepresentation
bin1010010000000000100000…
…11100011100100111111110
32221210211100202211111212120
411020000100130130213332
510423244430122342032
6115534504321143410
74514323522002564
oct510002034344776
987724322744776
1022540264262142
1172002aa609420
122640554a8ab66
13c766cb712653
1457cd5164ba34
152914cd77d62c
hex14801071c9fe

22540264262142 has 64 divisors (see below), whose sum is σ = 51245925523200. Its totient is φ = 6546714970880.

The previous prime is 22540264262093. The next prime is 22540264262161. The reversal of 22540264262142 is 24126246204522.

It is a junction number, because it is equal to n+sod(n) for n = 22540264262094 and 22540264262103.

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 31 ways as a sum of consecutive naturals, for example, 42717792 + ... + 43242227.

It is an arithmetic number, because the mean of its divisors is an integer number (800717586300).

Almost surely, 222540264262142 is an apocalyptic number.

22540264262142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22540264262142 is an abundant number, since it is smaller than the sum of its proper divisors (28705661261058).

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

22540264262142 is a wasteful number, since it uses less digits than its factorization.

22540264262142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85960201.

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 22540264262142 in words is "twenty-two trillion, five hundred forty billion, two hundred sixty-four million, two hundred sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 137 174 274 319 411 638 822 957 1507 1914 3014 3973 4521 7946 9042 11919 23838 43703 87406 131109 262218 85960019 171920038 257880057 515760114 945560209 1891120418 2492840551 2836680627 4985681102 5673361254 7478521653 11776522603 14957043306 23553045206 27421246061 35329567809 54842492122 70659135618 82263738183 129541748633 164527476366 259083497266 341519155487 388625245899 683038310974 777250491798 1024557466461 2049114932922 3756710710357 7513421420714 11270132131071 22540264262142