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140113014041 = 711132432411039
BaseRepresentation
bin1000001001111101100…
…0101110110100011001
3111101122201100120212102
42002133120232310121
54243422412422131
6144211140053145
713060062653210
oct2023730566431
9441581316772
10140113014041
1154470164280
12231a36941b5
131029c111200
146ad264a077
1539a0ae71cb
hex209f62ed19

140113014041 has 96 divisors (see below), whose sum is σ = 194546626560. Its totient is φ = 97934054400.

The previous prime is 140113014037. The next prime is 140113014113. The reversal of 140113014041 is 140410311041.

140113014041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 140113014041 - 22 = 140113014037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140113014011) 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 95 ways as a sum of consecutive naturals, for example, 134853200 + ... + 134854238.

It is an arithmetic number, because the mean of its divisors is an integer number (2026527360).

Almost surely, 2140113014041 is an apocalyptic number.

140113014041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140113014041 is a deficient number, since it is larger than the sum of its proper divisors (54433612519).

140113014041 is a wasteful number, since it uses less digits than its factorization.

140113014041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 140113014041 its reverse (140410311041), we get a palindrome (280523325082).

The spelling of 140113014041 in words is "one hundred forty billion, one hundred thirteen million, fourteen thousand, forty-one".

Divisors: 1 7 11 13 43 77 91 143 169 241 301 473 559 1001 1039 1183 1687 1859 2651 3133 3311 3913 6149 7267 7273 10363 11429 13013 13507 18557 21931 34463 40729 43043 44677 50869 72541 79937 80003 94549 113993 134719 148577 175591 241241 250399 285103 312739 448019 491447 559559 580801 797951 943033 1040039 1229137 1481909 1751347 1752793 1931501 2754389 3136133 3255187 3440129 4065607 6388811 7550413 10373363 10767157 12259429 13520507 19264817 19280723 22786309 35807057 42317431 44721677 52852891 75370099 83054543 118438727 134853719 139973041 250649399 296222017 465491741 581381801 829071089 979811287 1539703451 1819649533 3258442187 10777924157 12737546731 20016144863 140113014041