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14012410000 = 24544332587
BaseRepresentation
bin11010000110011010…
…00110100010010000
31100011112211011220011
431003031012202100
5212144134110000
610234234324304
71004145343201
oct150315064220
940145734804
1014012410000
115a40705036
122870889694
131424065684
1496cdc75a8
155702852ba
hex343346890

14012410000 has 100 divisors (see below), whose sum is σ = 34715474992. Its totient is φ = 5474448000.

The previous prime is 14012409989. The next prime is 14012410031. The reversal of 14012410000 is 1421041.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413707 + ... + 446293.

Almost surely, 214012410000 is an apocalyptic number.

14012410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14012410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357737496).

14012410000 is an abundant number, since it is smaller than the sum of its proper divisors (20703064992).

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

14012410000 is an equidigital number, since it uses as much as digits as its factorization.

14012410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32658 (or 32637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 14012410000 its reverse (1421041), we get a palindrome (14013831041).

The spelling of 14012410000 in words is "fourteen billion, twelve million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 3440 4300 5000 5375 8600 10000 10750 17200 21500 26875 32587 43000 53750 65174 86000 107500 130348 162935 215000 260696 325870 430000 521392 651740 814675 1303480 1401241 1629350 2606960 2802482 3258700 4073375 5604964 6517400 7006205 8146750 11209928 13034800 14012410 16293500 20366875 22419856 28024820 32587000 35031025 40733750 56049640 65174000 70062050 81467500 112099280 140124100 162935000 175155125 280248200 325870000 350310250 560496400 700620500 875775625 1401241000 1751551250 2802482000 3503102500 7006205000 14012410000