Search a number
-
+
34200320413024 = 255946717972321
BaseRepresentation
bin1111100011010111000011…
…11100110000110101100000
311111002112000010120210221201
413301223201330300311200
513440314224011204044
6200423224342530544
710126614551665153
oct761534174606540
9144075003523851
1034200320413024
11a9963022aa977
123a04302136a54
1316110cba5104c
14863439175c9a
153e49673ea7d4
hex1f1ae1f30d60

34200320413024 has 24 divisors (see below), whose sum is σ = 67333016815848. Its totient is φ = 17099871697920.

The previous prime is 34200320412931. The next prime is 34200320413033. The reversal of 34200320413024 is 42031402300243.

It is a super-2 number, since 2×342003204130242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34200320412983 and 34200320413001.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7083217 + ... + 10889104.

It is an arithmetic number, because the mean of its divisors is an integer number (2805542367327).

Almost surely, 234200320413024 is an apocalyptic number.

It is an amenable number.

34200320413024 is a deficient number, since it is larger than the sum of its proper divisors (33132696402824).

34200320413024 is a wasteful number, since it uses less digits than its factorization.

34200320413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18031798 (or 18031790 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34200320413024 its reverse (42031402300243), we get a palindrome (76231722713267).

The spelling of 34200320413024 in words is "thirty-four trillion, two hundred billion, three hundred twenty million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 59467 118934 237868 475736 951472 1902944 17972321 35944642 71889284 143778568 287557136 575114272 1068760012907 2137520025814 4275040051628 8550080103256 17100160206512 34200320413024