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814463141364418 = 2713131587275321139
BaseRepresentation
bin1011100100101111111111101…
…0001110010100001011000010
310221210202220201200122012122111
42321023333322032110023002
51323223131003142130133
612004115111331525534
7333361006622012110
oct27113777216241302
93853686650565574
10814463141364418
11216570973320977
12774204b61598aa
1328c5c710866870
141051a32525aab0
1564260c6e711cd
hex2e4bffa3942c2

814463141364418 has 128 divisors (see below), whose sum is σ = 1518306507970560. Its totient is φ = 319069864488960.

The previous prime is 814463141364373. The next prime is 814463141364503.

It is a happy number.

814463141364418 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38528923693 + ... + 38528944831.

It is an arithmetic number, because the mean of its divisors is an integer number (11861769593520).

Almost surely, 2814463141364418 is an apocalyptic number.

814463141364418 is a deficient number, since it is larger than the sum of its proper divisors (703843366606142).

814463141364418 is a wasteful number, since it uses less digits than its factorization.

814463141364418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24632.

The product of its digits is 21233664, while the sum is 58.

The spelling of 814463141364418 in words is "eight hundred fourteen trillion, four hundred sixty-three billion, one hundred forty-one million, three hundred sixty-four thousand, four hundred eighteen".

Divisors: 1 2 7 13 14 26 91 131 182 262 587 917 1174 1703 1834 2753 3406 4109 5506 7631 8218 11921 15262 19271 21139 23842 35789 38542 42278 53417 71578 76897 106834 147973 153794 250523 274807 295946 360643 501046 538279 549614 721286 999661 1076558 1616011 1923649 1999322 2524501 2769209 3232022 3847298 4688359 5049002 5538418 6997627 9376718 11312077 12408593 13995254 19384463 21008143 22624154 24817186 32818513 35999717 38768926 42016286 58195667 65637026 71999434 86860151 116391334 147057001 161311709 173720302 211697441 251998019 294114002 322623418 407369669 423394882 503996038 756543671 814739338 1129181963 1481882087 1513087342 1625525683 2258363926 2752066733 2963764174 3251051366 5295805697 5504133466 7623632377 10591611394 11378679781 15247264754 19264467131 21131833879 22757359562 34160856529 38528934262 42263667758 53365426639 68321713058 99107220901 106730853278 147922837153 198214441802 239125995703 295845674306 444091134877 478251991406 693750546307 888182269754 1387501092614 3108637944139 4475072205299 6217275888278 8950144410598 31325505437093 58175938668887 62651010874186 116351877337774 407231570682209 814463141364418