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32141313143244 = 223247108831745479
BaseRepresentation
bin1110100111011011110111…
…00011010111000111001100
311012210200100101011002002100
413103231323203113013030
513203100402131040434
6152205303155155100
76525063462654444
oct723557343270714
9135720311132070
1032141313143244
11a27206638aa28
1237312508a5a90
1314c1bb3622a36
147d190da0b124
153ab108e12699
hex1d3b7b8d71cc

32141313143244 has 72 divisors (see below), whose sum is σ = 82982409269760. Its totient is φ = 10484848960992.

The previous prime is 32141313143237. The next prime is 32141313143257. The reversal of 32141313143244 is 44234131314123.

32141313143244 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 1 + 313 + 14 + 324 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 32141313143199 and 32141313143208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17541297 + ... + 19286775.

It is an arithmetic number, because the mean of its divisors is an integer number (1152533462080).

Almost surely, 232141313143244 is an apocalyptic number.

It is an amenable number.

32141313143244 is an abundant number, since it is smaller than the sum of its proper divisors (50841096126516).

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

32141313143244 is a wasteful number, since it uses less digits than its factorization.

32141313143244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756419 (or 1756414 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 32141313143244 its reverse (44234131314123), we get a palindrome (76375444457367).

The spelling of 32141313143244 in words is "thirty-two trillion, one hundred forty-one billion, three hundred thirteen million, one hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 10883 21766 32649 43532 65298 97947 130596 195894 391788 511501 1023002 1534503 1745479 2046004 3069006 3490958 4603509 5236437 6138012 6981916 9207018 10472874 15709311 18414036 20945748 31418622 62837244 82037513 164075026 246112539 328150052 492225078 738337617 984450156 1476675234 2953350468 18996047957 37992095914 56988143871 75984191828 113976287742 170964431613 227952575484 341928863226 683857726452 892814253979 1785628507958 2678442761937 3571257015916 5356885523874 8035328285811 10713771047748 16070656571622 32141313143244