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12414140240 = 2451046314831
BaseRepresentation
bin10111000111111000…
…01011111101010000
31012001011101122221212
423203330023331100
5200411004441430
65411502035252
7616430310455
oct134374137520
935034348855
1012414140240
1152a0505337
1224a5578b28
13122abb7318
1485aa2382c
154c9cc8b95
hex2e3f0bf50

12414140240 has 40 divisors (see below), whose sum is σ = 28867580928. Its totient is φ = 4964846720.

The previous prime is 12414140237. The next prime is 12414140261. The reversal of 12414140240 is 4204141421.

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

It is a super-2 number, since 2×124141402402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829625 + ... + 844455.

Almost surely, 212414140240 is an apocalyptic number.

12414140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414140240 is an abundant number, since it is smaller than the sum of its proper divisors (16453440688).

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

12414140240 is a wasteful number, since it uses less digits than its factorization.

12414140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25307 (or 25301 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 12414140240 its reverse (4204141421), we get a palindrome (16618281661).

The spelling of 12414140240 in words is "twelve billion, four hundred fourteen million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10463 14831 20926 29662 41852 52315 59324 74155 83704 104630 118648 148310 167408 209260 237296 296620 418520 593240 837040 1186480 155176753 310353506 620707012 775883765 1241414024 1551767530 2482828048 3103535060 6207070120 12414140240