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14234153100 = 22352449105673
BaseRepresentation
bin11010100000110101…
…11111000010001100
31100202000001220020120
431100122333002030
5213122420344400
610312235144540
71012510206426
oct152032770214
940660056216
1014234153100
1160448989a2
122912ba5150
13145ac935cb
14990629816
15584986ca0
hex3506bf08c

14234153100 has 72 divisors (see below), whose sum is σ = 41276264400. Its totient is φ = 3787284480.

The previous prime is 14234153093. The next prime is 14234153173. The reversal of 14234153100 is 135143241.

It is a happy number.

It is a super-2 number, since 2×142341531002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81864 + ... + 187536.

It is an arithmetic number, because the mean of its divisors is an integer number (573281450).

Almost surely, 214234153100 is an apocalyptic number.

14234153100 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 14234153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638132200).

14234153100 is an abundant number, since it is smaller than the sum of its proper divisors (27042111300).

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

14234153100 is a wasteful number, since it uses less digits than its factorization.

14234153100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106139 (or 106132 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 14234153100 its reverse (135143241), we get a palindrome (14369296341).

The spelling of 14234153100 in words is "fourteen billion, two hundred thirty-four million, one hundred fifty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 449 898 1347 1796 2245 2694 4490 5388 6735 8980 11225 13470 22450 26940 33675 44900 67350 105673 134700 211346 317019 422692 528365 634038 1056730 1268076 1585095 2113460 2641825 3170190 5283650 6340380 7925475 10567300 15850950 31701900 47447177 94894354 142341531 189788708 237235885 284683062 474471770 569366124 711707655 948943540 1186179425 1423415310 2372358850 2846830620 3558538275 4744717700 7117076550 14234153100