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14124242000 = 245311642011
BaseRepresentation
bin11010010011101111…
…01101010001010000
31100110100020211120002
431021313231101100
5212411301221000
610253311305132
71010004035051
oct151167552120
940410224502
1014124242000
115a98848080
1228a221b1a8
13144128c85b
1497dbb8728
15579ec58d5
hex349ded450

14124242000 has 80 divisors (see below), whose sum is σ = 37257240384. Its totient is φ = 5136080000.

The previous prime is 14124241973. The next prime is 14124242023. The reversal of 14124242000 is 24242141.

14124242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299006 + ... + 343005.

Almost surely, 214124242000 is an apocalyptic number.

14124242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124242000 is an abundant number, since it is smaller than the sum of its proper divisors (23132998384).

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

14124242000 is a wasteful number, since it uses less digits than its factorization.

14124242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642045 (or 642029 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14124242000 its reverse (24242141), we get a palindrome (14148484141).

The spelling of 14124242000 in words is "fourteen billion, one hundred twenty-four million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 642011 1284022 2568044 3210055 5136088 6420110 7062121 10272176 12840220 14124242 16050275 25680440 28248484 32100550 35310605 51360880 56496968 64201100 70621210 80251375 112993936 128402200 141242420 160502750 176553025 256804400 282484840 321005500 353106050 564969680 642011000 706212100 882765125 1284022000 1412424200 1765530250 2824848400 3531060500 7062121000 14124242000