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14355311020245 = 3351361797168247
BaseRepresentation
bin1101000011100101101100…
…1101101100100011010101
31212211100120022021221021000
43100321123031230203111
53340144134110121440
650310423331213513
73011064663241626
oct320713315544325
955740508257230
1014355311020245
114635064913068
12173a1a4747299
13801913c39cb0
14378b2d403a4d
1519d634342730
hexd0e5b36c8d5

14355311020245 has 128 divisors (see below), whose sum is σ = 27969439841280. Its totient is φ = 6942610621440.

The previous prime is 14355311020201. The next prime is 14355311020261. The reversal of 14355311020245 is 54202011355341.

14355311020245 is a `hidden beast` number, since 1 + 4 + 355 + 31 + 10 + 20 + 245 = 666.

It is not a de Polignac number, because 14355311020245 - 26 = 14355311020181 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85238712 + ... + 85406958.

It is an arithmetic number, because the mean of its divisors is an integer number (218511248760).

Almost surely, 214355311020245 is an apocalyptic number.

14355311020245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14355311020245 is a deficient number, since it is larger than the sum of its proper divisors (13614128821035).

14355311020245 is a wasteful number, since it uses less digits than its factorization.

14355311020245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169132 (or 169126 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 14355311020245 its reverse (54202011355341), we get a palindrome (68557322375586).

The spelling of 14355311020245 in words is "fourteen trillion, three hundred fifty-five billion, three hundred eleven million, twenty thousand, two hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 61 65 117 135 183 195 305 351 549 585 793 797 915 1647 1755 2379 2391 2745 3965 3985 7137 7173 8235 10361 11895 11955 21411 21519 31083 35685 35865 48617 51805 93249 107055 107595 145851 155415 168247 243085 279747 437553 466245 504741 632021 729255 841235 1312659 1398735 1514223 1896063 2187211 2187765 2523705 3160105 4542669 5688189 6561633 6563295 7571115 9480315 10263067 10936055 17064567 19684899 22713345 28440945 30789201 32808165 51315335 59054697 85322835 92367603 98424495 133419871 134092859 153946005 277102809 295273485 400259613 402278577 461838015 667099355 670464295 1200778839 1206835731 1385514045 1743207167 2001298065 2011392885 3602336517 3620507193 5229621501 6003894195 6034178655 8179664399 8716035835 15688864503 18011682585 18102535965 24538993197 26148107505 40898321995 47066593509 73616979591 78444322515 106335637187 122694965985 220850938773 235332967545 319006911561 368084897955 531678185935 957020734683 1104254693865 1595034557805 2871062204049 4785103673415 14355311020245