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34067190999144 = 2332336092130007
BaseRepresentation
bin1111011111011111000101…
…10100010110100001101000
311110121210101010002212112010
413233233202310112201220
513431124101343433034
6200242130153315520
710114162515435162
oct757574264264150
9143553333085463
1034067190999144
11a9448a6209886
1239a2549405ba0
1316016a3723234
1485ac0a217932
153e127497d3e9
hex1efbe2d16868

34067190999144 has 32 divisors (see below), whose sum is σ = 85533505312320. Its totient is φ = 11306993291136.

The previous prime is 34067190999143. The next prime is 34067190999157. The reversal of 34067190999144 is 44199909176043.

It is a super-3 number, since 3×340671909991443 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34067190999143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3046059412 + ... + 3046070595.

It is an arithmetic number, because the mean of its divisors is an integer number (2672922041010).

Almost surely, 234067190999144 is an apocalyptic number.

It is an amenable number.

34067190999144 is an abundant number, since it is smaller than the sum of its proper divisors (51466314313176).

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

34067190999144 is a wasteful number, since it uses less digits than its factorization.

34067190999144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092130249 (or 6092130245 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 66.

The spelling of 34067190999144 in words is "thirty-four trillion, sixty-seven billion, one hundred ninety million, nine hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 233 466 699 932 1398 1864 2796 5592 6092130007 12184260014 18276390021 24368520028 36552780042 48737040056 73105560084 146211120168 1419466291631 2838932583262 4258398874893 5677865166524 8516797749786 11355730333048 17033595499572 34067190999144