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34120414211332 = 2247167718084629
BaseRepresentation
bin1111100001000010001110…
…01010110010110100000100
311110210212202022222012001011
413300201013022302310010
513433012102014230312
6200322411335412004
710121055446326051
oct760410712626404
9143725668865034
1034120414211332
11a965428339959
1239b0921824004
13160670619acb7
1485d618a56028
153e283c2a8da7
hex1f08472b2d04

34120414211332 has 12 divisors (see below), whose sum is σ = 59710854763980. Its totient is φ = 17060169993056.

The previous prime is 34120414211269. The next prime is 34120414211363. The reversal of 34120414211332 is 23311241402143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17451289020676 + 16669125190656 = 4177474^2 + 4082784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34120414211294 and 34120414211303.

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 3 ways as a sum of consecutive naturals, for example, 7155607 + ... + 10929022.

It is an arithmetic number, because the mean of its divisors is an integer number (4975904563665).

Almost surely, 234120414211332 is an apocalyptic number.

It is an amenable number.

34120414211332 is a deficient number, since it is larger than the sum of its proper divisors (25590440552648).

34120414211332 is a wasteful number, since it uses less digits than its factorization.

34120414211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18556310 (or 18556308 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 34120414211332 its reverse (23311241402143), we get a palindrome (57431655613475).

The spelling of 34120414211332 in words is "thirty-four trillion, one hundred twenty billion, four hundred fourteen million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 471677 943354 1886708 18084629 36169258 72338516 8530103552833 17060207105666 34120414211332