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641416614146 = 271110141238049
BaseRepresentation
bin10010101010101110110…
…10001101000100000010
32021022121102112001021022
421111113122031010002
541002110123123041
61210355052025442
764224621156140
oct11252732150402
92238542461238
10641416614146
11228028a58830
12a4389162282
1348640357799
142308aa4a590
1511a40dcc24b
hex955768d102

641416614146 has 32 divisors (see below), whose sum is σ = 1211408956800. Its totient is φ = 247428288000.

The previous prime is 641416614119. The next prime is 641416614169.

641416614146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6414166141462 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 641416614097 and 641416614106.

It is an unprimeable number.

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, 20603471 + ... + 20634578.

It is an arithmetic number, because the mean of its divisors is an integer number (37856529900).

Almost surely, 2641416614146 is an apocalyptic number.

641416614146 is a deficient number, since it is larger than the sum of its proper divisors (569992342654).

641416614146 is a wasteful number, since it uses less digits than its factorization.

641416614146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41238170.

The product of its digits is 331776, while the sum is 44.

The spelling of 641416614146 in words is "six hundred forty-one billion, four hundred sixteen million, six hundred fourteen thousand, one hundred forty-six".

Divisors: 1 2 7 11 14 22 77 101 154 202 707 1111 1414 2222 7777 15554 41238049 82476098 288666343 453618539 577332686 907237078 3175329773 4165042949 6350659546 8330085898 29155300643 45815472439 58310601286 91630944878 320708307073 641416614146