Search a number
-
+
114003925623 = 327337998117
BaseRepresentation
bin110101000101100101…
…0011101101001110111
3101220021010111110202200
41222023022131221313
53331440001104443
6124212255435543
711144060244000
oct1521312355167
9356233443680
10114003925623
1144392275755
121a117825bb3
13a99ab94373
145736c7a1a7
152e73895dd3
hex1a8b29da77

114003925623 has 48 divisors (see below), whose sum is σ = 197228116800. Its totient is φ = 63384358464.

The previous prime is 114003925577. The next prime is 114003925627. The reversal of 114003925623 is 326529300411.

114003925623 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 3 + 9 + 25 + 623 = 666.

It is not a de Polignac number, because 114003925623 - 26 = 114003925559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114003925627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384840 + ... + 613277.

It is an arithmetic number, because the mean of its divisors is an integer number (4108919100).

Almost surely, 2114003925623 is an apocalyptic number.

114003925623 is a deficient number, since it is larger than the sum of its proper divisors (83224191177).

114003925623 is an equidigital number, since it uses as much as digits as its factorization.

114003925623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998181 (or 998164 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 114003925623 in words is "one hundred fourteen billion, three million, nine hundred twenty-five thousand, six hundred twenty-three".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 343 441 777 1029 1813 2331 3087 5439 12691 16317 38073 114219 998117 2994351 6986819 8983053 20960457 36930329 48907733 62881371 110790987 146723199 258512303 332372961 342354131 440169597 775536909 1027062393 1809586121 2326610727 3081187179 5428758363 12667102847 16286275089 38001308541 114003925623