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641442244146 = 231129675001967
BaseRepresentation
bin10010101010110001110…
…11111110011000110010
32021022200012202012000120
421111120323332120302
541002133203303041
61210401405231110
764225352054154
oct11253073763062
92238605665016
10641442244146
11228041473a50
12a4395862496
134864575c672
14230901dcad4
1511a43291366
hex9558efe632

641442244146 has 64 divisors (see below), whose sum is σ = 1469378119680. Its totient is φ = 184872663360.

The previous prime is 641442244127. The next prime is 641442244193.

641442244146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6414422441462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641442244098 and 641442244107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2372746 + ... + 2629221.

It is an arithmetic number, because the mean of its divisors is an integer number (22959033120).

Almost surely, 2641442244146 is an apocalyptic number.

641442244146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

641442244146 is an abundant number, since it is smaller than the sum of its proper divisors (827935875534).

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

641442244146 is a wasteful number, since it uses less digits than its factorization.

641442244146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002079.

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 641442 and 244146, that added together give a palindrome (885588).

The spelling of 641442244146 in words is "six hundred forty-one billion, four hundred forty-two million, two hundred forty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 67 87 134 174 201 319 402 638 737 957 1474 1914 1943 2211 3886 4422 5829 11658 21373 42746 64119 128238 5001967 10003934 15005901 30011802 55021637 110043274 145057043 165064911 290114086 330129822 335131789 435171129 670263578 870342258 1005395367 1595627473 2010790734 3191254946 3686449679 4786882419 7372899358 9573764838 9718821881 11059349037 19437643762 22118698074 29156465643 58312931286 106907040691 213814081382 320721122073 641442244146