Search a number
-
+
14013002010 = 2357373178897
BaseRepresentation
bin11010000110011110…
…10111000100011010
31100011120221020222110
431003033113010122
5212144312031020
610234255133150
71004153360160
oct150317270432
940146836873
1014013002010
115a40a798a7
122870b141b6
131424211c87
1496d0dd230
155703508e0
hex3433d711a

14013002010 has 64 divisors (see below), whose sum is σ = 38538922752. Its totient is φ = 3194366976.

The previous prime is 14013001993. The next prime is 14013002027. The reversal of 14013002010 is 1020031041.

It is a happy number.

14013002010 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 (14013001993) and next prime (14013002027).

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, 11119 + ... + 167778.

It is an arithmetic number, because the mean of its divisors is an integer number (602170668).

Almost surely, 214013002010 is an apocalyptic number.

14013002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19269461376).

14013002010 is an abundant number, since it is smaller than the sum of its proper divisors (24525920742).

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

14013002010 is a wasteful number, since it uses less digits than its factorization.

14013002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179287.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 14013002010 its reverse (1020031041), we get a palindrome (15033033051).

The spelling of 14013002010 in words is "fourteen billion, thirteen million, two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 373 746 1119 1865 2238 2611 3730 5222 5595 7833 11190 13055 15666 26110 39165 78330 178897 357794 536691 894485 1073382 1252279 1788970 2504558 2683455 3756837 5366910 6261395 7513674 12522790 18784185 37568370 66728581 133457162 200185743 333642905 400371486 467100067 667285810 934200134 1000928715 1401300201 2001857430 2335500335 2802600402 4671000670 7006501005 14013002010