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14040201000 = 233537668581
BaseRepresentation
bin11010001001101110…
…00111011100101000
31100020111010002222110
431010313013130220
5212223242413000
610241110122320
71004633511420
oct150467073450
940214102873
1014040201000
115a55366901
12287a0503a0
131429a46057
1497297d480
15572924850
hex344dc7728

14040201000 has 128 divisors (see below), whose sum is σ = 50063420160. Its totient is φ = 3209184000.

The previous prime is 14040200989. The next prime is 14040201011. The reversal of 14040201000 is 10204041.

14040201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14040200989) and next prime (14040201011).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 313291 + ... + 355290.

It is an arithmetic number, because the mean of its divisors is an integer number (391120470).

Almost surely, 214040201000 is an apocalyptic number.

14040201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14040201000 is an abundant number, since it is smaller than the sum of its proper divisors (36023219160).

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

14040201000 is a wasteful number, since it uses less digits than its factorization.

14040201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668612 (or 668598 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 14040201000 its reverse (10204041), we get a palindrome (14050405041).

The spelling of 14040201000 in words is "fourteen billion, forty million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 668581 1337162 2005743 2674324 3342905 4011486 4680067 5348648 6685810 8022972 9360134 10028715 13371620 14040201 16045944 16714525 18720268 20057430 23400335 26743240 28080402 33429050 37440536 40114860 46800670 50143575 56160804 66858100 70201005 80229720 83572625 93601340 100287150 112321608 117001675 133716200 140402010 167145250 187202680 200574300 234003350 250717875 280804020 334290500 351005025 401148600 468006700 501435750 561608040 585008375 668581000 702010050 936013400 1002871500 1170016750 1404020100 1755025125 2005743000 2340033500 2808040200 3510050250 4680067000 7020100500 14040201000