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32140244204123 = 1119834014620409
BaseRepresentation
bin1110100111011001110111…
…10101101011101001011011
311012210120120212202100021112
413103230323311223221123
513203041210004012443
6152205005132130535
76525025133066036
oct723547365535133
9135716525670245
1032140244204123
11a271667a60170
123730bb2906a4b
1314c1a73028b93
147d184ba7601d
153ab095164b18
hex1d3b3bd6ba5b

32140244204123 has 32 divisors (see below), whose sum is σ = 37445281171200. Its totient is φ = 27278888832000.

The previous prime is 32140244204119. The next prime is 32140244204153.

It is a happy number.

32140244204123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 32140244204123 - 22 = 32140244204119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32140244204123.

It is not an unprimeable number, because it can be changed into a prime (32140244204113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4645943 + ... + 9266351.

It is an arithmetic number, because the mean of its divisors is an integer number (1170165036600).

Almost surely, 232140244204123 is an apocalyptic number.

32140244204123 is a deficient number, since it is larger than the sum of its proper divisors (5305036967077).

32140244204123 is a wasteful number, since it uses less digits than its factorization.

32140244204123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620923.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 3214024 and 4204123, that added together give a palindrome (7418147).

The spelling of 32140244204123 in words is "thirty-two trillion, one hundred forty billion, two hundred forty-four million, two hundred four thousand, one hundred twenty-three".

Divisors: 1 11 19 83 209 401 913 1577 4411 7619 17347 33283 83809 366113 632377 4620409 6956147 50824499 87787771 383493947 965665481 1852784009 4218433417 7286384993 20380624099 35202896171 80150234923 153781072747 387231857881 1691591800217 2921840382193 32140244204123