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14107103414010 = 2335173302014631
BaseRepresentation
bin1100110101001001000011…
…1000110100011011111010
31211221121220021220010011000
43031102100320310123322
53322112321433222020
650000414104545430
72654130113346645
oct315222070643372
954847807803130
1014107103414010
114549875118882
1216ba074482276
137b43a9307039
1436ab04a88a5c
15196e58a7d090
hexcd490e346fa

14107103414010 has 64 divisors (see below), whose sum is σ = 37836393096960. Its totient is φ = 3740149177920.

The previous prime is 14107103413999. The next prime is 14107103414023. The reversal of 14107103414010 is 1041430170141.

14107103414010 is a `hidden beast` number, since 1 + 410 + 7 + 103 + 4 + 140 + 1 + 0 = 666.

14107103414010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150960606 + ... + 151054025.

It is an arithmetic number, because the mean of its divisors is an integer number (591193642140).

Almost surely, 214107103414010 is an apocalyptic number.

14107103414010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14107103414010 is an abundant number, since it is smaller than the sum of its proper divisors (23729289682950).

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

14107103414010 is a wasteful number, since it uses less digits than its factorization.

14107103414010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302014820 (or 302014814 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 14107103414010 its reverse (1041430170141), we get a palindrome (15148533584151).

The spelling of 14107103414010 in words is "fourteen trillion, one hundred seven billion, one hundred three million, four hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 173 270 346 519 865 1038 1557 1730 2595 3114 4671 5190 7785 9342 15570 23355 46710 302014631 604029262 906043893 1510073155 1812087786 2718131679 3020146310 4530219465 5436263358 8154395037 9060438930 13590658395 16308790074 27181316790 40771975185 52248531163 81543950370 104497062326 156745593489 261242655815 313491186978 470236780467 522485311630 783727967445 940473560934 1410710341401 1567455934890 2351183902335 2821420682802 4702367804670 7053551707005 14107103414010