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22141140204342 = 2323414289912391
BaseRepresentation
bin1010000100011001000101…
…10010111111101100110110
32220101200011010111121200110
411002030202302333230312
510400230023343014332
6115031255511323450
74443434044331115
oct502144262775466
986350133447613
1022141140204342
1170670064773a5
122597127080586
13c47b926c6603
145678cb941c7c
15285e1dc0d4cc
hex142322cbfb36

22141140204342 has 64 divisors (see below), whose sum is σ = 47345699681280. Its totient is φ = 6885697843200.

The previous prime is 22141140204283. The next prime is 22141140204343. The reversal of 22141140204342 is 24340204114122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22141140204343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23810967 + ... + 24723357.

It is an arithmetic number, because the mean of its divisors is an integer number (739776557520).

Almost surely, 222141140204342 is an apocalyptic number.

22141140204342 is an abundant number, since it is smaller than the sum of its proper divisors (25204559476938).

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

22141140204342 is a wasteful number, since it uses less digits than its factorization.

22141140204342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916749.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 22141140204342 its reverse (24340204114122), we get a palindrome (46481344318464).

The spelling of 22141140204342 in words is "twenty-two trillion, one hundred forty-one billion, one hundred forty million, two hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 23 41 46 69 82 123 138 246 943 1886 2829 4289 5658 8578 12867 25734 98647 175849 197294 295941 351698 527547 591882 912391 1055094 1824782 2737173 4044527 5474346 8089054 12133581 20984993 24267162 37408031 41969986 62954979 74816062 112224093 125909958 224448186 860384713 1720769426 2581154139 3913244999 5162308278 7826489998 11739734997 23479469994 90004634977 160443044959 180009269954 270013904931 320886089918 481329134877 540027809862 962658269754 3690190034057 7380380068114 11070570102171 22141140204342