Search a number
-
+
14032400013104 = 2411149535097621
BaseRepresentation
bin1100110000110010110000…
…1101111101011100110000
31211200111002002021011011212
43030030230031331130300
53314401323400404404
645502221235455252
72645543645046134
oct314145415753460
954614062234155
1014032400013104
11452011aa90020
1216a76a6457528
137aa33260a935
1436725953b3c4
151950355a206e
hexcc32c37d730

14032400013104 has 40 divisors (see below), whose sum is σ = 29858447307600. Its totient is φ = 6335555820800.

The previous prime is 14032400013101. The next prime is 14032400013139. The reversal of 14032400013104 is 40131000423041.

14032400013104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140324000131042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14032400013104.

It is not an unprimeable number, because it can be changed into a prime (14032400013101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267522587 + ... + 267575034.

It is an arithmetic number, because the mean of its divisors is an integer number (746461182690).

Almost surely, 214032400013104 is an apocalyptic number.

It is an amenable number.

14032400013104 is an abundant number, since it is smaller than the sum of its proper divisors (15826047294496).

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

14032400013104 is a wasteful number, since it uses less digits than its factorization.

14032400013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535097789 (or 535097783 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14032400013104 its reverse (40131000423041), we get a palindrome (54163400436145).

The spelling of 14032400013104 in words is "fourteen trillion, thirty-two billion, four hundred million, thirteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 298 596 1192 1639 2384 3278 6556 13112 26224 535097621 1070195242 2140390484 4280780968 5886073831 8561561936 11772147662 23544295324 47088590648 79729545529 94177181296 159459091058 318918182116 637836364232 877025000819 1275672728464 1754050001638 3508100003276 7016200006552 14032400013104