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114312042223155 = 32573143272239589
BaseRepresentation
bin11001111111011101011000…
…101010111001011000110011
3112222202010100202201211102100
4121333131120222321120303
5104440342030302120110
61043042121025351443
733035525653616550
oct3177353052713063
9488663322654370
10114312042223155
11334725127a95a7
12109a2533798583
134ba276ba24a0a
142032a37871a27
15d337ba18cbc0
hex67f758ab9633

114312042223155 has 96 divisors (see below), whose sum is σ = 239187525857280. Its totient is φ = 49395150846720.

The previous prime is 114312042223139. The next prime is 114312042223231. The reversal of 114312042223155 is 551322240213411.

114312042223155 is a `hidden beast` number, since 1 + 1 + 4 + 312 + 0 + 4 + 2 + 22 + 315 + 5 = 666.

It is not a de Polignac number, because 114312042223155 - 24 = 114312042223139 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135699900 + ... + 136539689.

It is an arithmetic number, because the mean of its divisors is an integer number (2491536727680).

Almost surely, 2114312042223155 is an apocalyptic number.

114312042223155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114312042223155 is an abundant number, since it is smaller than the sum of its proper divisors (124875483634125).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114312042223155 is a wasteful number, since it uses less digits than its factorization.

114312042223155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272239681 (or 272239678 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 114312042223155 its reverse (551322240213411), we get a palindrome (665634282436566).

The spelling of 114312042223155 in words is "one hundred fourteen trillion, three hundred twelve billion, forty-two million, two hundred twenty-three thousand, one hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 31 35 43 45 63 93 105 129 155 215 217 279 301 315 387 465 645 651 903 1085 1333 1395 1505 1935 1953 2709 3255 3999 4515 6665 9331 9765 11997 13545 19995 27993 46655 59985 83979 139965 419895 272239589 816718767 1361197945 1905677123 2450156301 4083593835 5717031369 8439427259 9528385615 11706302327 12250781505 17151094107 25318281777 28585156845 35118906981 42197136295 58531511635 59075990813 75954845331 81944116289 85755470535 105356720943 126591408885 175594534905 177227972439 245832348867 295379954065 362895372137 379774226655 409720581445 526783604715 531683917317 737497046601 886139862195 1088686116411 1229161744335 1814476860685 2540267604959 2658419586585 3266058349233 3687485233005 5443430582055 7620802814877 12701338024795 16330291746165 22862408444631 38104014074385 114312042223155