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32243003310141 = 341389344046473
BaseRepresentation
bin1110101010011001010001…
…10000100100000000111101
311020011101211100010210110000
413111030220300210000331
513211232132321411031
6152324121540304513
76535323452062311
oct725145060440075
9136141740123400
1032243003310141
11a3011a9882478
123748ab06a2139
1314cb66b348120
147d67d9313b41
153adaab70c3e6
hex1d5328c2403d

32243003310141 has 40 divisors (see below), whose sum is σ = 52453325426040. Its totient is φ = 19618906019328.

The previous prime is 32243003310107. The next prime is 32243003310257. The reversal of 32243003310141 is 14101330034223.

It is a happy number.

32243003310141 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 300 + 3 + 310 + 1 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2099444510916 + 30143558799225 = 1448946^2 + 5490315^2 .

It is not a de Polignac number, because 32243003310141 - 219 = 32243002785853 is a prime.

It is a super-2 number, since 2×322430033101412 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32243003312141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171929520 + ... + 172116953.

It is an arithmetic number, because the mean of its divisors is an integer number (1311333135651).

Almost surely, 232243003310141 is an apocalyptic number.

It is an amenable number.

32243003310141 is a deficient number, since it is larger than the sum of its proper divisors (20210322115899).

32243003310141 is a wasteful number, since it uses less digits than its factorization.

32243003310141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344046587 (or 344046578 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 32243003310141 its reverse (14101330034223), we get a palindrome (46344333344364).

The spelling of 32243003310141 in words is "thirty-two trillion, two hundred forty-three billion, three million, three hundred ten thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 81 89 117 267 351 801 1053 1157 2403 3471 7209 10413 31239 93717 344046473 1032139419 3096418257 4472604149 9289254771 13417812447 27867764313 30620136097 40253437341 91860408291 120760312023 275581224873 362280936069 398061769261 826743674619 1194185307783 2480231023857 3582555923349 10747667770047 32243003310141