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14411138100 = 2235289539743
BaseRepresentation
bin11010110101111100…
…01000010000110100
31101012100002200000120
431122332020100310
5214003222404400
610342000411540
71020056436612
oct153276102064
941170080016
1014411138100
116125791397
122962316bb0
131488850068
149a9d3a6b2
15595296ca0
hex35af88434

14411138100 has 72 divisors (see below), whose sum is σ = 42164801280. Its totient is φ = 3799783680.

The previous prime is 14411138081. The next prime is 14411138141. The reversal of 14411138100 is 183111441.

It is a super-2 number, since 2×144111381002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 243172 + ... + 296571.

It is an arithmetic number, because the mean of its divisors is an integer number (585622240).

Almost surely, 214411138100 is an apocalyptic number.

14411138100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14411138100 is an abundant number, since it is smaller than the sum of its proper divisors (27753663180).

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

14411138100 is a wasteful number, since it uses less digits than its factorization.

14411138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539849 (or 539842 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 14411138100 its reverse (183111441), we get a palindrome (14594249541).

The spelling of 14411138100 in words is "fourteen billion, four hundred eleven million, one hundred thirty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 890 1068 1335 1780 2225 2670 4450 5340 6675 8900 13350 26700 539743 1079486 1619229 2158972 2698715 3238458 5397430 6476916 8096145 10794860 13493575 16192290 26987150 32384580 40480725 48037127 53974300 80961450 96074254 144111381 161922900 192148508 240185635 288222762 480371270 576445524 720556905 960742540 1200928175 1441113810 2401856350 2882227620 3602784525 4803712700 7205569050 14411138100