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32114412324444 = 22367419503189523
BaseRepresentation
bin1110100110101001110000…
…01000111000011001011100
311012201002220121111220002010
413103110320020320121130
513202130304023340234
6152145053553231220
76523122034533342
oct723247010703134
9135632817456063
1032114412324444
11a26171159967a
123727ba3862510
1314bc4b735a088
147d04bb025992
153aa58241e6e9
hex1d353823865c

32114412324444 has 96 divisors (see below), whose sum is σ = 76385510369280. Its totient is φ = 10498894135488.

The previous prime is 32114412324431. The next prime is 32114412324479. The reversal of 32114412324444 is 44442321441123.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169353867 + ... + 169543389.

It is an arithmetic number, because the mean of its divisors is an integer number (795682399680).

Almost surely, 232114412324444 is an apocalyptic number.

It is an amenable number.

32114412324444 is an abundant number, since it is smaller than the sum of its proper divisors (44271098044836).

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

32114412324444 is a wasteful number, since it uses less digits than its factorization.

32114412324444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190519 (or 190517 counting only the distinct ones).

The product of its digits is 294912, while the sum is 39.

Adding to 32114412324444 its reverse (44442321441123), we get a palindrome (76556733765567).

The spelling of 32114412324444 in words is "thirty-two trillion, one hundred fourteen billion, four hundred twelve million, three hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 419 503 804 838 1006 1257 1509 1676 2012 2514 3018 5028 6036 28073 33701 56146 67402 84219 101103 112292 134804 168438 189523 202206 210757 336876 379046 404412 421514 568569 632271 758092 843028 1137138 1264542 2274276 2529084 12698041 14120719 25396082 28241438 38094123 42362157 50792164 56482876 76188246 79410137 84724314 95330069 152376492 158820274 169448628 190660138 238230411 285990207 317640548 381320276 476460822 571980414 952921644 1143960828 5320479179 6387114623 10640958358 12774229246 15961437537 19161343869 21281916716 25548458492 31922875074 38322687738 39943298911 63845750148 76645375476 79886597822 119829896733 159773195644 239659793466 479319586932 2676201027037 5352402054074 8028603081111 10704804108148 16057206162222 32114412324444