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34240636131440 = 2451922526734297
BaseRepresentation
bin1111100100100010001001…
…11101000001100001110000
311111020101001210201111200212
413302101010331001201300
513441444310322201230
6200453533040403252
710132542611642624
oct762210475014160
9144211053644625
1034240636131440
11aa01410498922
123a10093916528
131614b55345a2b
14865381649184
153e5a26998895
hex1f2444f41870

34240636131440 has 40 divisors (see below), whose sum is σ = 83799451588560. Its totient is φ = 12975398954496.

The previous prime is 34240636131391. The next prime is 34240636131523. The reversal of 34240636131440 is 4413163604243.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×342406361314403 (a number of 42 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 11263365629 + ... + 11263368668.

It is an arithmetic number, because the mean of its divisors is an integer number (2094986289714).

Almost surely, 234240636131440 is an apocalyptic number.

It is an amenable number.

34240636131440 is an abundant number, since it is smaller than the sum of its proper divisors (49558815457120).

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

34240636131440 is a wasteful number, since it uses less digits than its factorization.

34240636131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22526734329 (or 22526734323 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 41.

Adding to 34240636131440 its reverse (4413163604243), we get a palindrome (38653799735683).

The spelling of 34240636131440 in words is "thirty-four trillion, two hundred forty billion, six hundred thirty-six million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 22526734297 45053468594 90106937188 112633671485 180213874376 225267342970 360427748752 428007951643 450534685940 856015903286 901069371880 1712031806572 1802138743760 2140039758215 3424063613144 4280079516430 6848127226288 8560159032860 17120318065720 34240636131440