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22346156312142 = 2313974396727783
BaseRepresentation
bin1010001010010110111101…
…01101011000011001001110
32221010021100001110222111020
411011023132231120121032
510412104412003442032
6115305403230135010
74464312404441115
oct505133655303116
987107301428436
1022346156312142
117135a51747633
12260aa02651466
13c61305cc3cc0
145737b9cb8c7c
1528b41c71bb2c
hex1452deb5864e

22346156312142 has 64 divisors (see below), whose sum is σ = 48737143741440. Its totient is φ = 6789354660864.

The previous prime is 22346156312131. The next prime is 22346156312143. The reversal of 22346156312142 is 24121365164322.

It is a junction number, because it is equal to n+sod(n) for n = 22346156312094 and 22346156312103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22346156312143) 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, 42418 + ... + 6685365.

It is an arithmetic number, because the mean of its divisors is an integer number (761517870960).

Almost surely, 222346156312142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22346156312142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24368571870720).

22346156312142 is an abundant number, since it is smaller than the sum of its proper divisors (26390987429298).

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

22346156312142 is a wasteful number, since it uses less digits than its factorization.

22346156312142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728337.

The product of its digits is 414720, while the sum is 42.

The spelling of 22346156312142 in words is "twenty-two trillion, three hundred forty-six billion, one hundred fifty-six million, three hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 97 194 291 439 582 878 1261 1317 2522 2634 3783 5707 7566 11414 17121 34242 42583 85166 127749 255498 553579 1107158 1660737 3321474 6727783 13455566 20183349 40366698 87461179 174922358 262383537 524767074 652594951 1305189902 1957784853 2953496737 3915569706 5906993474 8483734363 8860490211 16967468726 17720980422 25451203089 38395457581 50902406178 76790915162 115186372743 230372745486 286489183489 572978366978 859467550467 1718935100934 3724359385357 7448718770714 11173078156071 22346156312142