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13414204013112 = 2334716273181729
BaseRepresentation
bin1100001100110011110011…
…0111010111101000111000
31202111101101221102112020000
43003030330313113220320
53224234242211404422
644310222242033000
72553100323541350
oct303147467275070
952441357375200
1013414204013112
114301a28504401
121607919948760
13763c52c66436
14345372809b60
15183e03061cac
hexc333cdd7a38

13414204013112 has 160 divisors (see below), whose sum is σ = 42942522770400. Its totient is φ = 3832373108736.

The previous prime is 13414204013087. The next prime is 13414204013213. The reversal of 13414204013112 is 21131040241431.

It is a happy number.

13414204013112 is a `hidden beast` number, since 1 + 3 + 4 + 142 + 0 + 401 + 3 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73723464 + ... + 73905192.

It is an arithmetic number, because the mean of its divisors is an integer number (268390767315).

Almost surely, 213414204013112 is an apocalyptic number.

13414204013112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13414204013112 is an abundant number, since it is smaller than the sum of its proper divisors (29528318757288).

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

13414204013112 is a wasteful number, since it uses less digits than its factorization.

13414204013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198027 (or 198014 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13414204013112 its reverse (21131040241431), we get a palindrome (34545244254543).

The spelling of 13414204013112 in words is "thirteen trillion, four hundred fourteen billion, two hundred four million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 16273 32546 48819 65092 97638 113911 130184 146457 181729 195276 227822 292914 341733 363458 390552 439371 455644 545187 585828 683466 726916 878742 911288 1025199 1090374 1171656 1272103 1318113 1366932 1453832 1635561 1757484 2050398 2180748 2544206 2636226 2733864 3075597 3271122 3514968 3816309 4100796 4361496 4906683 5088412 5272452 6151194 6542244 7632618 8201592 9226791 9813366 10176824 10544904 11448927 12302388 13084488 14720049 15265236 18453582 19626732 22897854 24604776 29440098 30530472 34346781 36907164 39253464 45795708 58880196 68693562 73814328 91591416 103040343 117760392 137387124 206080686 274774248 412161372 824322744 2957276017 5914552034 8871828051 11829104068 17743656102 20700932119 23658208136 26615484153 35487312204 41401864238 53230968306 62102796357 70974624408 79846452459 82803728476 106461936612 124205592714 159692904918 165607456952 186308389071 212923873224 239539357377 248411185428 319385809836 372616778142 479078714754 496822370856 558925167213 638771619672 745233556284 958157429508 1117850334426 1490467112568 1676775501639 1916314859016 2235700668852 3353551003278 4471401337704 6707102006556 13414204013112