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314113031414 = 2713171014192399
BaseRepresentation
bin1001001001000101001…
…10000111110011110110
31010000210002002022021022
410210202212013303312
520121300414001124
6400145044221142
731460004466460
oct4444246076366
91100702068238
10314113031414
1111123a687726
1250a6399a7b2
132380b994880
14112bb63d130
1582866bcc5e
hex4922987cf6

314113031414 has 128 divisors (see below), whose sum is σ = 621831168000. Its totient is φ = 115472332800.

The previous prime is 314113031399. The next prime is 314113031471. The reversal of 314113031414 is 414130311413.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130933787 + ... + 130936185.

It is an arithmetic number, because the mean of its divisors is an integer number (4858056000).

Almost surely, 2314113031414 is an apocalyptic number.

314113031414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

314113031414 is a deficient number, since it is larger than the sum of its proper divisors (307718136586).

314113031414 is a wasteful number, since it uses less digits than its factorization.

314113031414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 314113031414 its reverse (414130311413), we get a palindrome (728243342827).

The spelling of 314113031414 in words is "three hundred fourteen billion, one hundred thirteen million, thirty-one thousand, four hundred fourteen".

Divisors: 1 2 7 13 14 17 26 34 91 101 119 182 202 221 238 419 442 707 838 1313 1414 1547 1717 2399 2626 2933 3094 3434 4798 5447 5866 7123 9191 10894 12019 14246 16793 18382 22321 24038 31187 33586 38129 40783 42319 44642 49861 62374 76258 81566 84638 92599 99722 156247 185198 218309 242299 285481 296233 312494 436618 484598 530179 550147 570962 592466 648193 719423 1005181 1060358 1100294 1296386 1438846 1696093 2010362 3149887 3392186 3711253 3851029 4119083 5035961 6299774 7036267 7422506 7702058 8238166 9352499 10071922 13067353 14072534 17088077 18704998 22049209 26134706 28833581 34176154 44098418 53548079 57667162 65467493 91471471 101523281 107096158 119616539 130934986 182942942 203046562 222145001 239233078 374836553 444290002 710662967 749673106 1319802653 1421325934 1555015007 1725895777 2639605306 3110030014 3451791554 9238618571 12081270439 18477237142 22436645101 24162540878 44873290202 157056515707 314113031414