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32312441121114 = 237111973471023133
BaseRepresentation
bin1110101100011010100111…
…00100110010100101011010
311020102001001120122001221210
413112031103210302211122
513213401334411333424
6152420044105443550
76543332261533020
oct726152344624532
9136361046561853
1032312441121114
11a3286a16a1610
12375a44b1a05b6
13150508617523b
147d9d053c6710
153b07c27bd729
hex1d635393295a

32312441121114 has 128 divisors (see below), whose sum is σ = 81213724956672. Its totient is φ = 8326166365440.

The previous prime is 32312441121097. The next prime is 32312441121127. The reversal of 32312441121114 is 41112114421323.

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 63 ways as a sum of consecutive naturals, for example, 31070292 + ... + 32093424.

It is an arithmetic number, because the mean of its divisors is an integer number (634482226224).

Almost surely, 232312441121114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32312441121114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40606862478336).

32312441121114 is an abundant number, since it is smaller than the sum of its proper divisors (48901283835558).

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

32312441121114 is a wasteful number, since it uses less digits than its factorization.

32312441121114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023700.

The product of its digits is 4608, while the sum is 30.

Adding to 32312441121114 its reverse (41112114421323), we get a palindrome (73424555542437).

The spelling of 32312441121114 in words is "thirty-two trillion, three hundred twelve billion, four hundred forty-one million, one hundred twenty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 197 231 347 394 462 591 694 1041 1182 1379 2082 2167 2429 2758 3817 4137 4334 4858 6501 7287 7634 8274 11451 13002 14574 15169 22902 26719 30338 45507 53438 68359 80157 91014 136718 160314 205077 410154 478513 751949 957026 1023133 1435539 1503898 2046266 2255847 2871078 3069399 4511694 5263643 6138798 7161931 10527286 11254463 14323862 15790929 21485793 22508926 31581858 33763389 42971586 67526778 78781241 157562482 201557201 236343723 355027151 403114402 472687446 604671603 710054302 1065081453 1209343206 1410900407 2130162906 2217129211 2485190057 2821800814 3905298661 4232701221 4434258422 4970380114 6651387633 7455570171 7810597322 8465402442 11715895983 13302775266 14911140342 15519904477 23431791966 27337090627 31039808954 46559713431 54674181254 69940348747 82011271881 93119426862 139880697494 164022543762 209821046241 419642092482 489582441229 769343836217 979164882458 1468747323687 1538687672434 2308031508651 2937494647374 4616063017302 5385406853519 10770813707038 16156220560557 32312441121114