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20344316342145 = 352934628968451
BaseRepresentation
bin1001010000000110001111…
…01111111010111110000001
32200000220020101101222012020
410220003013233322332001
510131310124440422040
6111134014440152053
74166554060444035
oct450030757727601
980026211358166
1020344316342145
116533a81222094
122346a46468629
13b475cb4b68b3
14504954d0a1c5
15254307e3ccd0
hex1280c7bfaf81

20344316342145 has 16 divisors (see below), whose sum is σ = 32662001397312. Its totient is φ = 10813270299200.

The previous prime is 20344316342117. The next prime is 20344316342149. The reversal of 20344316342145 is 54124361344302.

It is not a de Polignac number, because 20344316342145 - 25 = 20344316342113 is a prime.

It is a super-3 number, since 3×203443163421453 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20344316342097 and 20344316342106.

It is not an unprimeable number, because it can be changed into a prime (20344316342149) 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 15 ways as a sum of consecutive naturals, for example, 2314479831 + ... + 2314488620.

It is an arithmetic number, because the mean of its divisors is an integer number (2041375087332).

Almost surely, 220344316342145 is an apocalyptic number.

It is an amenable number.

20344316342145 is a deficient number, since it is larger than the sum of its proper divisors (12317685055167).

20344316342145 is a wasteful number, since it uses less digits than its factorization.

20344316342145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628968752.

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 20344316342145 its reverse (54124361344302), we get a palindrome (74468677686447).

The spelling of 20344316342145 in words is "twenty trillion, three hundred forty-four billion, three hundred sixteen million, three hundred forty-two thousand, one hundred forty-five".

Divisors: 1 3 5 15 293 879 1465 4395 4628968451 13886905353 23144842255 69434526765 1356287756143 4068863268429 6781438780715 20344316342145