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34122324443988 = 22311599431556691
BaseRepresentation
bin1111100001000101110010…
…00001110000001101010100
311110211001200110102001121210
413300202321001300031110
513433030010024201423
6200323325054341420
710121154003124344
oct760427101601524
9143731613361553
1034122324443988
11a966218643a30
1239b11754ba870
13160694bb75291
1485d75a624d24
153e28eed38b93
hex1f08b9070354

34122324443988 has 48 divisors (see below), whose sum is σ = 87001829107200. Its totient is φ = 10322836024800.

The previous prime is 34122324443953. The next prime is 34122324443989. The reversal of 34122324443988 is 88934442322143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122324443989) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 215699278 + ... + 215857413.

It is an arithmetic number, because the mean of its divisors is an integer number (1812538106400).

Almost surely, 234122324443988 is an apocalyptic number.

It is an amenable number.

34122324443988 is an abundant number, since it is smaller than the sum of its proper divisors (52879504663212).

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

34122324443988 is a wasteful number, since it uses less digits than its factorization.

34122324443988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431557308 (or 431557306 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 57.

The spelling of 34122324443988 in words is "thirty-four trillion, one hundred twenty-two billion, three hundred twenty-four million, four hundred forty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 599 1198 1797 2396 3594 6589 7188 13178 19767 26356 39534 79068 431556691 863113382 1294670073 1726226764 2589340146 4747123601 5178680292 9494247202 14241370803 18988494404 28482741606 56965483212 258502457909 517004915818 775507373727 1034009831636 1551014747454 2843527036999 3102029494908 5687054073998 8530581110997 11374108147996 17061162221994 34122324443988