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114401103363 = 32314710980039
BaseRepresentation
bin110101010001011010…
…1100100111000000011
3101221021210212012012100
41222202311210320003
53333243140301423
6124315524401443
711156652222411
oct1524265447003
9357253765170
10114401103363
1144576493218
121a208846283
13aa32258191
1457739082b1
152e9869d343
hex1aa2d64e03

114401103363 has 48 divisors (see below), whose sum is σ = 175806259200. Its totient is φ = 71573181120.

The previous prime is 114401103361. The next prime is 114401103367. The reversal of 114401103363 is 363301104411.

It is not a de Polignac number, because 114401103363 - 21 = 114401103361 is a prime.

It is a super-3 number, since 3×1144011033633 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (114401103361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389298 + ... + 1469336.

It is an arithmetic number, because the mean of its divisors is an integer number (3662630400).

Almost surely, 2114401103363 is an apocalyptic number.

114401103363 is a deficient number, since it is larger than the sum of its proper divisors (61405155837).

114401103363 is a wasteful number, since it uses less digits than its factorization.

114401103363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80232 (or 80229 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 114401103363 its reverse (363301104411), we get a palindrome (477702207774).

The spelling of 114401103363 in words is "one hundred fourteen billion, four hundred one million, one hundred three thousand, three hundred sixty-three".

Divisors: 1 3 9 31 47 93 109 141 279 327 423 981 1457 3379 4371 5123 10137 13113 15369 30411 46107 80039 158813 240117 476439 720351 1429317 2481209 3761833 7443627 8724251 11285499 22330881 26172753 33856497 78518259 116616823 270451781 349850469 410039797 811355343 1049551407 1230119391 2434066029 3690358173 12711233707 38133701121 114401103363