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140021120041 = 11171171639433
BaseRepresentation
bin1000001001100111101…
…0001011110000101001
3111101102022102212222221
42002121322023300221
54243230401320131
6144154054314041
713054565611525
oct2023172136051
9441368385887
10140021120041
11544232a9a20
1223178958921
131028607816a
146ac4368d85
1539979e4411
hex2099e8bc29

140021120041 has 16 divisors (see below), whose sum is σ = 161873995968. Its totient is φ = 119701670400.

The previous prime is 140021120011. The next prime is 140021120051.

It is a happy number.

140021120041 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 140021120041 - 211 = 140021117993 is a prime.

It is a super-2 number, since 2×1400211200412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 140021119997 and 140021120024.

It is not an unprimeable number, because it can be changed into a prime (140021120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100740 + ... + 538693.

It is an arithmetic number, because the mean of its divisors is an integer number (10117124748).

Almost surely, 2140021120041 is an apocalyptic number.

140021120041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140021120041 is a deficient number, since it is larger than the sum of its proper divisors (21852875927).

140021120041 is a wasteful number, since it uses less digits than its factorization.

140021120041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640632.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 140021 and 120041, that added together give a palindrome (260062).

The spelling of 140021120041 in words is "one hundred forty billion, twenty-one million, one hundred twenty thousand, forty-one".

Divisors: 1 11 17 187 1171 12881 19907 218977 639433 7033763 10870361 119573971 748776043 8236536473 12729192731 140021120041