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14104321100 = 225229311511039
BaseRepresentation
bin11010010001010111…
…01101110001001100
31100101221202202012222
431020223231301030
5212341201233400
610251320314512
71006342515452
oct151053556114
940357682188
1014104321100
115a88581221
122897612a38
13143a10643c
1497b2b09d2
1557838d185
hex348aedc4c

14104321100 has 144 divisors (see below), whose sum is σ = 32931225600. Its totient is φ = 5231520000.

The previous prime is 14104321097. The next prime is 14104321109. The reversal of 14104321100 is 112340141.

It is a happy number.

14104321100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14104321109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13574381 + ... + 13575419.

Almost surely, 214104321100 is an apocalyptic number.

14104321100 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 14104321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465612800).

14104321100 is an abundant number, since it is smaller than the sum of its proper divisors (18826904500).

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

14104321100 is a wasteful number, since it uses less digits than its factorization.

14104321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 14104321100 its reverse (112340141), we get a palindrome (14216661241).

The spelling of 14104321100 in words is "fourteen billion, one hundred four million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 145 151 155 290 302 310 580 604 620 725 755 775 899 1039 1450 1510 1550 1798 2078 2900 3020 3100 3596 3775 4156 4379 4495 4681 5195 7550 8758 8990 9362 10390 15100 17516 17980 18724 20780 21895 22475 23405 25975 30131 32209 43790 44950 46810 51950 60262 64418 87580 89900 93620 103900 109475 117025 120524 128836 135749 150655 156889 161045 218950 234050 271498 301310 313778 322090 437900 468100 542996 602620 627556 644180 678745 753275 784445 805225 934061 1357490 1506550 1568890 1610450 1868122 2714980 3013100 3137780 3220900 3393725 3736244 3922225 4549781 4670305 4863559 6787450 7844450 9099562 9340610 9727118 13574900 15688900 18199124 18681220 19454236 22748905 23351525 24317795 45497810 46703050 48635590 90995620 93406100 97271180 113744525 121588975 141043211 227489050 243177950 282086422 454978100 486355900 564172844 705216055 1410432110 2820864220 3526080275 7052160550 14104321100