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12134440410320 = 245193785909353
BaseRepresentation
bin1011000010010100010100…
…0000101001110011010000
31120222001010000102120020202
42300211011000221303100
53042302313221112240
641450252430354332
72361453513442364
oct260450500516320
946861100376222
1012134440410320
1139592072a3a28
12143b89b65b9a8
136a0371505937
142dd44aac12a4
151609a0a01315
hexb0945029cd0

12134440410320 has 40 divisors (see below), whose sum is σ = 28358753129736. Its totient is φ = 4828627058688.

The previous prime is 12134440410289. The next prime is 12134440410349. The reversal of 12134440410320 is 2301404443121.

It can be written as a sum of positive squares in 4 ways, for example, as 400061310016 + 11734379100304 = 632504^2 + 3425548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392939237 + ... + 392970116.

Almost surely, 212134440410320 is an apocalyptic number.

12134440410320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12134440410320 is an abundant number, since it is smaller than the sum of its proper divisors (16224312719416).

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

12134440410320 is a wasteful number, since it uses less digits than its factorization.

12134440410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785909559 (or 785909553 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 12134440410320 its reverse (2301404443121), we get a palindrome (14435844853441).

The spelling of 12134440410320 in words is "twelve trillion, one hundred thirty-four billion, four hundred forty million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 785909353 1571818706 3143637412 3929546765 6287274824 7859093530 12574549648 15718187060 31436374120 62872748240 151680505129 303361010258 606722020516 758402525645 1213444041032 1516805051290 2426888082064 3033610102580 6067220205160 12134440410320