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34113421044324 = 22321303697268561
BaseRepresentation
bin1111100000110101001100…
…10101111110101001100100
311110210012200222002111100200
413300122212111332221210
513432403241241404244
6200315253403510500
710120420242356046
oct760324625765144
9143705628074320
1034113421044324
11a962469931a96
1239ab4ab828430
131605b6041825b
1485d153d97a96
153e257d38e669
hex1f06a657ea64

34113421044324 has 36 divisors (see below), whose sum is σ = 86231820942540. Its totient is φ = 11371051560960.

The previous prime is 34113421044323. The next prime is 34113421044331. The reversal of 34113421044324 is 42344012431143.

34113421044324 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 3 + 4 + 210 + 4 + 432 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17660922200100 + 16452498844224 = 4202490^2 + 4056168^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34113421044323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1059004 + ... + 8327564.

It is an arithmetic number, because the mean of its divisors is an integer number (2395328359515).

Almost surely, 234113421044324 is an apocalyptic number.

It is an amenable number.

34113421044324 is an abundant number, since it is smaller than the sum of its proper divisors (52118399898216).

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

34113421044324 is a wasteful number, since it uses less digits than its factorization.

34113421044324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7398940 (or 7398935 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34113421044324 its reverse (42344012431143), we get a palindrome (76457433475467).

The spelling of 34113421044324 in words is "thirty-four trillion, one hundred thirteen billion, four hundred twenty-one million, forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 130369 260738 391107 521476 782214 1173321 1564428 2346642 4693284 7268561 14537122 21805683 29074244 43611366 65417049 87222732 130834098 261668196 947595029009 1895190058018 2842785087027 3790380116036 5685570174054 8528355261081 11371140348108 17056710522162 34113421044324