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34224314421143 = 7115326893118727
BaseRepresentation
bin1111100100000011110000…
…00110101000111110010111
311111011210221022112201100002
413302001320012220332113
513441212343442434033
6200442233305441515
710131424262461460
oct762017006507627
9144153838481302
1034224314421143
11a9a54a52a0350
123a08a997a029b
131613453a2cca2
14864673a91d67
153e53bdb063e8
hex1f20781a8f97

34224314421143 has 32 divisors (see below), whose sum is σ = 43490537210880. Its totient is φ = 26155382722560.

The previous prime is 34224314421137. The next prime is 34224314421169. The reversal of 34224314421143 is 34112441342243.

It is not a de Polignac number, because 34224314421143 - 218 = 34224314158999 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34224314421097 and 34224314421106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34224314421113) 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 31 ways as a sum of consecutive naturals, for example, 9414446 + ... + 12533172.

It is an arithmetic number, because the mean of its divisors is an integer number (1359079287840).

Almost surely, 234224314421143 is an apocalyptic number.

34224314421143 is a deficient number, since it is larger than the sum of its proper divisors (9266222789737).

34224314421143 is a wasteful number, since it uses less digits than its factorization.

34224314421143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121487.

The product of its digits is 221184, while the sum is 38.

Adding to 34224314421143 its reverse (34112441342243), we get a palindrome (68336755763386).

The spelling of 34224314421143 in words is "thirty-four trillion, two hundred twenty-four billion, three hundred fourteen million, four hundred twenty-one thousand, one hundred forty-three".

Divisors: 1 7 11 53 77 371 583 2689 4081 18823 29579 142517 207053 997619 1567687 3118727 10973809 21831089 34305997 165292531 240141979 1157047717 1818217841 8386256903 12727524887 58703798321 92248825933 444471615859 645741781531 3111301311013 4889187774449 34224314421143