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212144034140240 = 24516128116442113
BaseRepresentation
bin110000001111000110100001…
…110010111101000001010000
31000211010202211111100121011112
4300033012201302331001100
5210301231440214441430
62031105342431032452
762453620634324246
oct6017064162750120
91024122744317145
10212144034140240
1161660863763594
121b962b2796b728
13914b134256787
143a55b7c910796
15197d546e4c195
hexc0f1a1cbd050

212144034140240 has 40 divisors (see below), whose sum is σ = 493237967607528. Its totient is φ = 84857082347520.

The previous prime is 212144034140237. The next prime is 212144034140261. The reversal of 212144034140240 is 42041430441212.

It can be written as a sum of positive squares in 4 ways, for example, as 68556346575376 + 143587687564864 = 8279876^2 + 11982808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 212144034140197 and 212144034140206.

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, 4681424 + ... + 21123536.

Almost surely, 2212144034140240 is an apocalyptic number.

212144034140240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212144034140240 is an abundant number, since it is smaller than the sum of its proper divisors (281093933467288).

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

212144034140240 is a wasteful number, since it uses less digits than its factorization.

212144034140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16603407 (or 16603401 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 212144034140240 its reverse (42041430441212), we get a palindrome (254185464581452).

The spelling of 212144034140240 in words is "two hundred twelve trillion, one hundred forty-four billion, thirty-four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 161281 322562 645124 806405 1290248 1612810 2580496 3225620 6451240 12902480 16442113 32884226 65768452 82210565 131536904 164421130 263073808 328842260 657684520 1315369040 2651800426753 5303600853506 10607201707012 13259002133765 21214403414024 26518004267530 42428806828048 53036008535060 106072017070120 212144034140240