Search a number
-
+
14315404130000 = 24543146178723
BaseRepresentation
bin1101000001010001000010…
…0100111111011011010000
31212200112120010102212022222
43100110100210333123100
53334020421424130000
650240223400120212
73005153026255061
oct320242044773320
955615503385288
1014315404130000
11461a14647a836
121732507a66068
137cac24257c7c
14376c25352568
1519c59aaeda85
hexd051093f6d0

14315404130000 has 100 divisors (see below), whose sum is σ = 35777058776448. Its totient is φ = 5541446640000.

The previous prime is 14315404129967. The next prime is 14315404130009. The reversal of 14315404130000 is 3140451341.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14315404130009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22779362 + ... + 23399361.

Almost surely, 214315404130000 is an apocalyptic number.

14315404130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14315404130000 is an abundant number, since it is smaller than the sum of its proper divisors (21461654646448).

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

14315404130000 is an equidigital number, since it uses as much as digits as its factorization.

14315404130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46178782 (or 46178761 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 14315404130000 its reverse (3140451341), we get a palindrome (14318544581341).

The spelling of 14315404130000 in words is "fourteen trillion, three hundred fifteen billion, four hundred four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 1000 1240 1250 1550 2000 2480 2500 3100 3875 5000 6200 7750 10000 12400 15500 19375 31000 38750 62000 77500 155000 310000 46178723 92357446 184714892 230893615 369429784 461787230 738859568 923574460 1154468075 1431540413 1847148920 2308936150 2863080826 3694297840 4617872300 5726161652 5772340375 7157702065 9235744600 11452323304 11544680750 14315404130 18471489200 22904646608 23089361500 28630808260 28861701875 35788510325 46178723000 57261616520 57723403750 71577020650 92357446000 114523233040 115446807500 143154041300 178942551625 230893615000 286308082600 357885103250 461787230000 572616165200 715770206500 894712758125 1431540413000 1789425516250 2863080826000 3578851032500 7157702065000 14315404130000