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14532134300 = 22524115123473
BaseRepresentation
bin11011000100010111…
…01100010110011100
31101111202202220121022
431202023230112130
5214230211244200
610402002023312
71023056050325
oct154213542634
941452686538
1014532134300
116188013652
122996947b38
1314a7935548
149bc03544c
155a0be7885
hex3622ec59c

14532134300 has 72 divisors (see below), whose sum is σ = 32519189472. Its totient is φ = 5633280000.

The previous prime is 14532134219. The next prime is 14532134303. The reversal of 14532134300 is 343123541.

14532134300 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 2×145321343002 (a number of 21 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 14532134300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14532134303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 607364 + ... + 630836.

Almost surely, 214532134300 is an apocalyptic number.

14532134300 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 14532134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259594736).

14532134300 is an abundant number, since it is smaller than the sum of its proper divisors (17987055172).

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

14532134300 is a wasteful number, since it uses less digits than its factorization.

14532134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23679 (or 23672 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 14532134300 its reverse (343123541), we get a palindrome (14875257841).

The spelling of 14532134300 in words is "fourteen billion, five hundred thirty-two million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 151 164 205 302 410 604 755 820 1025 1510 2050 3020 3775 4100 6191 7550 12382 15100 23473 24764 30955 46946 61910 93892 117365 123820 154775 234730 309550 469460 586825 619100 962393 1173650 1924786 2347300 3544423 3849572 4811965 7088846 9623930 14177692 17722115 19247860 24059825 35444230 48119650 70888460 88610575 96239300 145321343 177221150 290642686 354442300 581285372 726606715 1453213430 2906426860 3633033575 7266067150 14532134300