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114012430534215 = 3254766181553081
BaseRepresentation
bin11001111011000110010110…
…011011000000011001000111
3112221200111000022111001022100
4121323012112123000121013
5104420434424204043330
61042252330523203143
733005061212363343
oct3173062633003107
9487614008431270
10114012430534215
1133367444814134
12109544583764b3
134b804314a4185
142022334130623
15d2aad1b34060
hex67b1966c0647

114012430534215 has 48 divisors (see below), whose sum is σ = 202131597223296. Its totient is φ = 59422836211200.

The previous prime is 114012430534213. The next prime is 114012430534241. The reversal of 114012430534215 is 512435034210411.

114012430534215 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 2 + 4 + 305 + 342 + 1 + 5 = 666.

It is not a de Polignac number, because 114012430534215 - 21 = 114012430534213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114012430534215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114012430534213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39378526 + ... + 42174555.

It is an arithmetic number, because the mean of its divisors is an integer number (4211074942152).

Almost surely, 2114012430534215 is an apocalyptic number.

114012430534215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114012430534215 is a deficient number, since it is larger than the sum of its proper divisors (88119166689081).

114012430534215 is a wasteful number, since it uses less digits than its factorization.

114012430534215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81553800 (or 81553797 counting only the distinct ones).

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

Adding to 114012430534215 its reverse (512435034210411), we get a palindrome (626447464744626).

The spelling of 114012430534215 in words is "one hundred fourteen trillion, twelve billion, four hundred thirty million, five hundred thirty-four thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 45 47 141 235 423 661 705 1983 2115 3305 5949 9915 29745 31067 93201 155335 279603 466005 1398015 81553081 244659243 407765405 733977729 1223296215 3669888645 3832994807 11498984421 19164974035 34496953263 53906586541 57494922105 161719759623 172484766315 269532932705 485159278869 808598798115 2425796394345 2533609567427 7600828702281 12668047837135 22802486106843 38004143511405 114012430534215