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14014110011202 = 23575417760453
BaseRepresentation
bin1100101111101110101000…
…0011001000111101000010
31211121201212102101210100000
43023323222003020331002
53314101344130324302
645445554313340430
72644325465435340
oct313735203107502
954551772353300
1014014110011202
114513394832974
1216a4041107716
137a86a92a02c2
143664023c0990
15194814a1231c
hexcbeea0c8f42

14014110011202 has 96 divisors (see below), whose sum is σ = 35993541048192. Its totient is φ = 4003287007104.

The previous prime is 14014110011201. The next prime is 14014110011261. The reversal of 14014110011202 is 20211001141041.

14014110011202 is a `hidden beast` number, since 1 + 40 + 1 + 411 + 0 + 0 + 11 + 202 = 666.

14014110011202 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 (18).

It is not an unprimeable number, because it can be changed into a prime (14014110011201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18048408 + ... + 18808860.

It is an arithmetic number, because the mean of its divisors is an integer number (374932719252).

Almost surely, 214014110011202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014110011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996770524096).

14014110011202 is an abundant number, since it is smaller than the sum of its proper divisors (21979431036990).

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

14014110011202 is an equidigital number, since it uses as much as digits as its factorization.

14014110011202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765894 (or 765882 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 14014110011202 its reverse (20211001141041), we get a palindrome (34225111152243).

The spelling of 14014110011202 in words is "fourteen trillion, fourteen billion, one hundred ten million, eleven thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 5417 10834 16251 32502 37919 48753 75838 97506 113757 146259 227514 292518 341271 438777 682542 760453 877554 1023813 1316331 1520906 2047626 2281359 2632662 3071439 4562718 5323171 6142878 6844077 9214317 10646342 13688154 15969513 18428634 20532231 31939026 41064462 47908539 61596693 95817078 123193386 143725617 184790079 287451234 369580158 431176851 862353702 1293530553 2587061106 4119373901 8238747802 12358121703 24716243406 28835617307 37074365109 57671234614 74148730218 86506851921 111223095327 173013703842 222446190654 259520555763 333669285981 519041111526 667338571962 778561667289 1001007857943 1557123334578 2002015715886 2335685001867 4671370003734 7007055005601 14014110011202