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114225115332321 = 3471722399153623
BaseRepresentation
bin11001111110001100011011…
…011011000111111011100001
3112222102210222200110020120000
4121332030123123013323201
5104432431014011113241
61042534143224410213
733026330561342130
oct3176143333077341
9488383880406500
10114225115332321
1133439665842954
1210989714016969
134b974c77a3a36
14202c74cb6b917
15d313cd9e6eb6
hex67e31b6c7ee1

114225115332321 has 160 divisors (see below), whose sum is σ = 207618839543808. Its totient is φ = 61093663741440.

The previous prime is 114225115332301. The next prime is 114225115332337. The reversal of 114225115332321 is 123233511522411.

114225115332321 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 251 + 1 + 53 + 32 + 321 = 666.

It is not a de Polignac number, because 114225115332321 - 27 = 114225115332193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114225115332301) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2130124716 + ... + 2130178338.

Almost surely, 2114225115332321 is an apocalyptic number.

It is an amenable number.

114225115332321 is a deficient number, since it is larger than the sum of its proper divisors (93393724211487).

114225115332321 is a wasteful number, since it uses less digits than its factorization.

114225115332321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54873 (or 54864 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 114225115332321 its reverse (123233511522411), we get a palindrome (237458626854732).

The spelling of 114225115332321 in words is "one hundred fourteen trillion, two hundred twenty-five billion, one hundred fifteen million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 223 357 459 567 669 991 1071 1377 1561 2007 2973 3213 3791 4683 6021 6937 8919 9639 11373 14049 16847 18063 20811 26537 26757 34119 42147 50541 53623 62433 79611 80271 102357 117929 126441 151623 160869 187299 220993 238833 307071 353787 375361 454869 482607 561897 662979 716499 911591 1061361 1126083 1364607 1447821 1546951 1988937 2149497 2734773 3184083 3378249 3756881 4343463 4640853 5966811 6381137 8204319 9552249 10134747 11270643 11957929 13922559 17900433 19143411 24612957 26298167 30404241 33811929 35873787 41767677 53140393 57430233 73838871 78894501 83705503 101435787 107621361 125303031 159421179 172290699 203284793 236683503 251116509 304307361 322864083 371982751 478263537 516872097 609854379 710050509 753349527 903386681 968592249 1115948253 1422993551 1434790611 1829563137 2130151527 2260048581 2710160043 3347844759 4268980653 4304371833 5488689411 6323706767 6780145743 8130480129 10043534277 11850307639 12806941959 16466068233 18971120301 24391440387 30130602831 35550922917 38420825877 56913360903 73174321161 82952153473 106652768751 115262477631 170740082709 201455229863 248856460419 319958306253 512220248127 604365689589 746569381257 959874918759 1410186609041 1813097068767 2239708143771 4230559827123 5439291206301 6719124431313 12691679481369 16317873618903 38075038444107 114225115332321