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23234404120340 = 2257243975391989
BaseRepresentation
bin1010100100001101011100…
…11001110111011100010100
310001021012001120102212022112
411102012232121313130110
511021133024423322330
6121225423215250152
74615426123310600
oct522065631673424
9101235046385275
1023234404120340
117448723451816
122732b96b19958
13cc6cc1a7145a
145a47a054c500
152a45a8127795
hex1521ae677714

23234404120340 has 72 divisors (see below), whose sum is σ = 56771249015880. Its totient is φ = 7964268227328.

The previous prime is 23234404120313. The next prime is 23234404120351. The reversal of 23234404120340 is 4302140443232.

It can be written as a sum of positive squares in 4 ways, for example, as 179636954896 + 23054767165444 = 423836^2 + 4801538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23234404120297 and 23234404120306.

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 23 ways as a sum of consecutive naturals, for example, 1613066 + ... + 7005054.

It is an arithmetic number, because the mean of its divisors is an integer number (788489569665).

Almost surely, 223234404120340 is an apocalyptic number.

23234404120340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23234404120340 is an abundant number, since it is smaller than the sum of its proper divisors (33536844895540).

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

23234404120340 is a wasteful number, since it uses less digits than its factorization.

23234404120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396409 (or 5396400 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 23234404120340 its reverse (4302140443232), we get a palindrome (27536544563572).

The spelling of 23234404120340 in words is "twenty-three trillion, two hundred thirty-four billion, four hundred four million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 4397 8794 17588 21985 30779 43970 61558 87940 123116 153895 215453 307790 430906 615580 861812 1077265 2154530 4309060 5391989 10783978 21567956 26959945 37743923 53919890 75487846 107839780 150975692 188719615 264207461 377439230 528414922 754878460 1056829844 1321037305 2642074610 5284149220 23708575633 47417151266 94834302532 118542878165 165960029431 237085756330 331920058862 474171512660 663840117724 829800147155 1161720206017 1659600294310 2323440412034 3319200588620 4646880824068 5808601030085 11617202060170 23234404120340