Search a number
-
+
14539978414017 = 32710187722971
BaseRepresentation
bin1101001110010101101000…
…1111111001011111000001
31220111000020002120112002200
43103211122033321133001
53401210333433222032
650531323542303413
73030323135215020
oct323453217713701
956430202515080
1014539978414017
1146a6408838271
121769b41427b69
13816163836cb4
14383a4b0408b7
151a33416a247c
hexd395a3f97c1

14539978414017 has 72 divisors (see below), whose sum is σ = 24275992208832. Its totient is φ = 8214150384000.

The previous prime is 14539978413949. The next prime is 14539978414037. The reversal of 14539978414017 is 71041487993541.

It is a happy number.

14539978414017 is a `hidden beast` number, since 1 + 4 + 53 + 99 + 78 + 414 + 0 + 17 = 666.

It is not a de Polignac number, because 14539978414017 - 211 = 14539978411969 is a prime.

It is a super-2 number, since 2×145399784140172 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (14539978414037) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4893966342 + ... + 4893969312.

It is an arithmetic number, because the mean of its divisors is an integer number (337166558456).

Almost surely, 214539978414017 is an apocalyptic number.

It is an amenable number.

14539978414017 is a deficient number, since it is larger than the sum of its proper divisors (9736013794815).

14539978414017 is an equidigital number, since it uses as much as digits as its factorization.

14539978414017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 14539978414017 in words is "fourteen trillion, five hundred thirty-nine billion, nine hundred seventy-eight million, four hundred fourteen thousand, seventeen".

Divisors: 1 3 7 9 21 63 101 303 707 877 909 2121 2631 2971 6139 6363 7893 8913 18417 20797 26739 55251 62391 88577 187173 265731 300071 620039 769129 797193 900213 1860117 2100497 2307387 2605567 2700639 5383903 5580351 6301491 6922161 7816701 16151709 18238969 18904473 23450103 48455127 54716907 77682029 164150721 233046087 263162267 543774203 699138261 789486801 1631322609 1842135869 2285082259 2368460403 4893967827 5526407607 6855246777 15995575813 16579222821 20565740331 47986727439 143960182317 230793308159 692379924477 1615553157113 2077139773431 4846659471339 14539978414017