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340232565232044 = 223219897977012477
BaseRepresentation
bin100110101011100001001000…
…1001100010001000110101100
31122121122220201110101110212100
41031113002101030101012230
5324043332243144411134
63203340403244335100
7131443664065433232
oct11527022114210654
91577586643343770
10340232565232044
1199454903257601
12321ab425844490
13117aca40972504
1460034b5dcc952
15295036a93c999
hex13570913111ac

340232565232044 has 144 divisors (see below), whose sum is σ = 916617829327200. Its totient is φ = 106101342471168.

The previous prime is 340232565232019. The next prime is 340232565232067. The reversal of 340232565232044 is 440232565232043.

340232565232044 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 3 + 2 + 565 + 23 + 20 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45011934 + ... + 52024410.

It is an arithmetic number, because the mean of its divisors is an integer number (6365401592550).

Almost surely, 2340232565232044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340232565232044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458308914663600).

340232565232044 is an abundant number, since it is smaller than the sum of its proper divisors (576385264095156).

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

340232565232044 is a wasteful number, since it uses less digits than its factorization.

340232565232044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013392 (or 7013387 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Subtracting 340232565232044 from its reverse (440232565232043), we obtain a palindrome (99999999999999).

The spelling of 340232565232044 in words is "three hundred forty trillion, two hundred thirty-two billion, five hundred sixty-five million, two hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 89 114 171 178 228 267 342 356 534 684 797 801 1068 1594 1602 1691 2391 3188 3204 3382 4782 5073 6764 7173 9564 10146 14346 15143 15219 20292 28692 30286 30438 45429 60572 60876 70933 90858 136287 141866 181716 212799 272574 283732 425598 545148 638397 851196 1276794 1347727 2553588 2695454 4043181 5390908 7012477 8086362 12129543 14024954 16172724 21037431 24259086 28049908 42074862 48518172 63112293 84149724 126224586 133237063 252449172 266474126 399711189 532948252 624110453 799422378 1199133567 1248220906 1598844756 1872331359 2398267134 2496441812 3744662718 4796534268 5588944169 5616994077 7489325436 11177888338 11233988154 11858098607 16766832507 22355776676 22467976308 23716197214 33533665014 35574295821 47432394428 50300497521 67067330028 71148591642 100600995042 106189939211 106722887463 142297183284 201201990084 212379878422 213445774926 318569817633 424759756844 426891549852 497416031041 637139635266 955709452899 994832062082 1274279270532 1492248093123 1911418905798 1989664124164 2984496186246 3822837811596 4476744279369 5968992372492 8953488558738 9450904589779 17906977117476 18901809179558 28352713769337 37803618359116 56705427538674 85058141308011 113410855077348 170116282616022 340232565232044