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14440112042100 = 22352121339681539
BaseRepresentation
bin1101001000100001100110…
…1111111011000001110100
31220010110110020101012010020
43102020121233323001310
53343041322140321400
650413410151325140
73020156303110533
oct322103157730164
956113406335106
1014440112042100
1146680208819a8
1217527103807b0
13809909913534
1437cc95a4631a
151a09490612a0
hexd2219bfb074

14440112042100 has 72 divisors (see below), whose sum is σ = 41814502138080. Its totient is φ = 3847521924480.

The previous prime is 14440112042047. The next prime is 14440112042101. The reversal of 14440112042100 is 124021104441.

14440112042100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440112042101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19476870 + ... + 20204669.

It is an arithmetic number, because the mean of its divisors is an integer number (580756974140).

Almost surely, 214440112042100 is an apocalyptic number.

14440112042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14440112042100 is an abundant number, since it is smaller than the sum of its proper divisors (27374390095980).

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

14440112042100 is a wasteful number, since it uses less digits than its factorization.

14440112042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39682769 (or 39682762 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14440112042100 its reverse (124021104441), we get a palindrome (14564133146541).

The spelling of 14440112042100 in words is "fourteen trillion, four hundred forty billion, one hundred twelve million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1213 2426 3639 4852 6065 7278 12130 14556 18195 24260 30325 36390 60650 72780 90975 121300 181950 363900 39681539 79363078 119044617 158726156 198407695 238089234 396815390 476178468 595223085 793630780 992038475 1190446170 1984076950 2380892340 2976115425 3968153900 5952230850 11904461700 48133706807 96267413614 144401120421 192534827228 240668534035 288802240842 481337068070 577604481684 722005602105 962674136140 1203342670175 1444011204210 2406685340350 2888022408420 3610028010525 4813370680700 7220056021050 14440112042100