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105344212440 = 2335877868437
BaseRepresentation
bin110001000011100000…
…0010001110111011000
3101001220121201110111210
41202013000101313120
53211221104244230
6120221112023120
710416346013535
oct1420700216730
9331817643453
10105344212440
1140749074aa5
12184bb691aa0
139c1aa7911c
145154b23d8c
152b184d4eb0
hex1887011dd8

105344212440 has 32 divisors (see below), whose sum is σ = 316032637680. Its totient is φ = 28091789952.

The previous prime is 105344212423. The next prime is 105344212459. The reversal of 105344212440 is 44212443501.

It is a super-2 number, since 2×1053442124402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105344212398 and 105344212407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438934099 + ... + 438934338.

Almost surely, 2105344212440 is an apocalyptic number.

105344212440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105344212440 is an abundant number, since it is smaller than the sum of its proper divisors (210688425240).

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

105344212440 is a wasteful number, since it uses less digits than its factorization.

105344212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877868451 (or 877868447 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 105344212440 its reverse (44212443501), we get a palindrome (149556655941).

The spelling of 105344212440 in words is "one hundred five billion, three hundred forty-four million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 877868437 1755736874 2633605311 3511473748 4389342185 5267210622 7022947496 8778684370 10534421244 13168026555 17557368740 21068842488 26336053110 35114737480 52672106220 105344212440