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14442114300 = 2235248140381
BaseRepresentation
bin11010111001101000…
…10010110011111100
31101021111101102101020
431130310102303330
5214034140124200
610345024344140
71020613642335
oct153464226374
941244342336
1014442114300
116141219259
122970775050
1314920a7483
149b00c128c
15597d64ea0
hex35cd12cfc

14442114300 has 36 divisors (see below), whose sum is σ = 41785851576. Its totient is φ = 3851230400.

The previous prime is 14442114251. The next prime is 14442114311. The reversal of 14442114300 is 341124441.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24069891 + ... + 24070490.

Almost surely, 214442114300 is an apocalyptic number.

14442114300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442114300 is an abundant number, since it is smaller than the sum of its proper divisors (27343737276).

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

14442114300 is a wasteful number, since it uses less digits than its factorization.

14442114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48140398 (or 48140391 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14442114300 its reverse (341124441), we get a palindrome (14783238741).

The spelling of 14442114300 in words is "fourteen billion, four hundred forty-two million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 48140381 96280762 144421143 192561524 240701905 288842286 481403810 577684572 722105715 962807620 1203509525 1444211430 2407019050 2888422860 3610528575 4814038100 7221057150 14442114300