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14356405636014 = 23135311513017171
BaseRepresentation
bin1101000011101001110001…
…1101010100101110101110
31212211110101121000011210210
43100322130131110232232
53340203404320323024
650311124112443250
73011134054311351
oct320723435245656
955743347004723
1014356405636014
1146355767900a2
12173a44b249526
13801a59954030
14378bd4940298
1519d69a4b3129
hexd0e9c754bae

14356405636014 has 64 divisors (see below), whose sum is σ = 31532295610368. Its totient is φ = 4330242384000.

The previous prime is 14356405636007. The next prime is 14356405636057. The reversal of 14356405636014 is 41063650465341.

It is a happy number.

It is a super-2 number, since 2×143564056360142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 3249649 + ... + 6266819.

It is an arithmetic number, because the mean of its divisors is an integer number (492692118912).

Almost surely, 214356405636014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14356405636014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766147805184).

14356405636014 is an abundant number, since it is smaller than the sum of its proper divisors (17175889974354).

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

14356405636014 is a wasteful number, since it uses less digits than its factorization.

14356405636014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018393.

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 14356405636014 in words is "fourteen trillion, three hundred fifty-six billion, four hundred five million, six hundred thirty-six thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1151 1378 2067 2302 3453 4134 6906 14963 29926 44889 61003 89778 122006 183009 366018 793039 1586078 2379117 3017171 4758234 6034342 9051513 18103026 39223223 78446446 117669669 159910063 235339338 319820126 479730189 959460378 2078830819 3472763821 4157661638 6236492457 6945527642 10418291463 12472984914 20836582926 45145929673 90291859346 135437789019 184056482513 270875578038 368112965026 552169447539 1104338895078 2392734272669 4785468545338 7178202818007 14356405636014