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340110340121040 = 24351417126417171
BaseRepresentation
bin100110101010101000001110…
…0000000011110000111010000
31122121020020020101021111220020
41031111100130000132013100
5324034331434032333130
63203204311104143440
7131432106200224566
oct11525203400360720
91577206211244806
10340110340121040
1199407a92381675
123218b7b4907b80
13117a13627a3c18
145ddb5dd34da36
15294c0b5459e10
hex135541c01e1d0

340110340121040 has 40 divisors (see below), whose sum is σ = 1054342054375968. Its totient is φ = 90696090698880.

The previous prime is 340110340121033. The next prime is 340110340121077. The reversal of 340110340121040 is 40121043011043.

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

It is a super-2 number, since 2×3401103401210402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 340110340121040.

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, 708563208346 + ... + 708563208825.

Almost surely, 2340110340121040 is an apocalyptic number.

340110340121040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340110340121040 is an abundant number, since it is smaller than the sum of its proper divisors (714231714254928).

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

340110340121040 is a wasteful number, since it uses less digits than its factorization.

340110340121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417126417187 (or 1417126417181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 340110340121040 its reverse (40121043011043), we get a palindrome (380231383132083).

The spelling of 340110340121040 in words is "three hundred forty trillion, one hundred ten billion, three hundred forty million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1417126417171 2834252834342 4251379251513 5668505668684 7085632085855 8502758503026 11337011337368 14171264171710 17005517006052 21256896257565 22674022674736 28342528343420 34011034012104 42513792515130 56685056686840 68022068024208 85027585030260 113370113373680 170055170060520 340110340121040