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14100034300 = 225211101126913
BaseRepresentation
bin11010010000110110…
…10111001011111100
31100101122200221211121
431020123113023330
5212334102044200
610251044400324
71006261212502
oct151033271374
940348627747
1014100034300
115a86113510
1228960a60a4
131439265181
1497a8b6672
15577ce2e1a
hex3486d72fc

14100034300 has 72 divisors (see below), whose sum is σ = 33709373712. Its totient is φ = 5076480000.

The previous prime is 14100034261. The next prime is 14100034301. The reversal of 14100034300 is 343000141.

It is a super-2 number, since 2×141000343002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100034301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47644 + ... + 174556.

It is an arithmetic number, because the mean of its divisors is an integer number (468185746).

Almost surely, 214100034300 is an apocalyptic number.

14100034300 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 14100034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854686856).

14100034300 is an abundant number, since it is smaller than the sum of its proper divisors (19609339412).

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

14100034300 is a wasteful number, since it uses less digits than its factorization.

14100034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127039 (or 127032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14100034300 its reverse (343000141), we get a palindrome (14443034441).

The spelling of 14100034300 in words is "fourteen billion, one hundred million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 126913 253826 507652 634565 1269130 1396043 2538260 2792086 3172825 5584172 6345650 6980215 12691300 12818213 13960430 25636426 27920860 34901075 51272852 64091065 69802150 128182130 139604300 141000343 256364260 282000686 320455325 564001372 640910650 705001715 1281821300 1410003430 2820006860 3525008575 7050017150 14100034300