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114525060120405 = 325112159910711781
BaseRepresentation
bin11010000010100011110001…
…100001101011111101010101
3120000111111012100111012210100
4122002203301201223331111
5110002334310342323110
61043324030350244313
733060106516102014
oct3202436141537525
9500444170435710
10114525060120405
1133544894859670
1210a17882ab6699
134bb9889040b6c
14203d08481aa7b
15d390d63ebbc0
hex6828f186bf55

114525060120405 has 48 divisors (see below), whose sum is σ = 216566523763200. Its totient is φ = 55524725865600.

The previous prime is 114525060120397. The next prime is 114525060120407. The reversal of 114525060120405 is 504021060525411.

114525060120405 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 5 + 0 + 601 + 2 + 0 + 40 + 5 = 666.

It is not a de Polignac number, because 114525060120405 - 23 = 114525060120397 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114525060120405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114525060120407) 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, 5335615 + ... + 16047395.

It is an arithmetic number, because the mean of its divisors is an integer number (4511802578400).

Almost surely, 2114525060120405 is an apocalyptic number.

114525060120405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114525060120405 is a deficient number, since it is larger than the sum of its proper divisors (102041463642795).

114525060120405 is a wasteful number, since it uses less digits than its factorization.

114525060120405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10733402 (or 10733399 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 114525060120405 in words is "one hundred fourteen trillion, five hundred twenty-five billion, sixty million, one hundred twenty thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 21599 64797 107995 194391 237589 323985 712767 971955 1187945 2138301 3563835 10691505 10711781 32135343 53558905 96406029 117829591 160676715 353488773 482030145 589147955 1060466319 1767443865 5302331595 231363757819 694091273457 1156818789095 2082273820371 2545001336009 3470456367285 7635004008027 10411369101855 12725006680045 22905012024081 38175020040135 114525060120405