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114323252153445 = 32519173917998829
BaseRepresentation
bin11001111111100111110100…
…110101011000110001100101
3112222210012022000012021212200
4121333213310311120301211
5104441033010022402240
61043051213233205113
733036403522506216
oct3177476465306145
9488705260167780
10114323252153445
11334772454920a5
12109a4741a00799
134ba38372a256a
1420333bc58b40d
15d33c24398930
hex67f9f4d58c65

114323252153445 has 48 divisors (see below), whose sum is σ = 199467353779200. Its totient is φ = 60571095891840.

The previous prime is 114323252153413. The next prime is 114323252153447. The reversal of 114323252153445 is 544351252323411.

114323252153445 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 2 + 3 + 2 + 52 + 153 + 445 = 666.

It is not a de Polignac number, because 114323252153445 - 25 = 114323252153413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 114323252153445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114323252153447) 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, 2647710 + ... + 15351119.

It is an arithmetic number, because the mean of its divisors is an integer number (4155569870400).

Almost surely, 2114323252153445 is an apocalyptic number.

114323252153445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114323252153445 is a deficient number, since it is larger than the sum of its proper divisors (85144101625755).

114323252153445 is a wasteful number, since it uses less digits than its factorization.

114323252153445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17999770 (or 17999767 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 114323252153445 in words is "one hundred fourteen trillion, three hundred twenty-three billion, two hundred fifty-two million, one hundred fifty-three thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 191 573 739 955 1719 2217 2865 3695 6651 8595 11085 33255 141149 423447 705745 1270341 2117235 6351705 17998829 53996487 89994145 161989461 269982435 809947305 3437776339 10313329017 13301134631 17188881695 30939987051 39903403893 51566645085 66505673155 119710211679 154699935255 199517019465 598551058395 2540516714521 7621550143563 12702583572605 22864650430689 38107750717815 114323252153445