Search a number
-
+
114142211543115 = 32572514710057349
BaseRepresentation
bin11001111100111111001101…
…111110010001000001001011
3112222010212222222100101121200
4121330333031332101001023
5104430101222123334430
61042432112540435243
733020334256635600
oct3174771576210113
9488125888311550
10114142211543115
1133407492809a88
1210975637848b23
134b8c744ba2572
1420287264b26a7
15d2e17a63b460
hex67cfcdf9104b

114142211543115 has 72 divisors (see below), whose sum is σ = 230192707258800. Its totient is φ = 52169153710464.

The previous prime is 114142211543069. The next prime is 114142211543119. The reversal of 114142211543115 is 511345112241411.

114142211543115 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 2 + 211 + 5 + 431 + 1 + 5 = 666.

It is not a de Polignac number, because 114142211543115 - 26 = 114142211543051 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114142211543115.

It is not an unprimeable number, because it can be changed into a prime (114142211543119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6320461 + ... + 16377809.

It is an arithmetic number, because the mean of its divisors is an integer number (3197120934150).

Almost surely, 2114142211543115 is an apocalyptic number.

114142211543115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114142211543115 is an abundant number, since it is smaller than the sum of its proper divisors (116050495715685).

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

114142211543115 is a wasteful number, since it uses less digits than its factorization.

114142211543115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062521 (or 10062511 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

Adding to 114142211543115 its reverse (511345112241411), we get a palindrome (625487323784526).

The spelling of 114142211543115 in words is "one hundred fourteen trillion, one hundred forty-two billion, two hundred eleven million, five hundred forty-three thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 5147 15441 25735 36029 46323 77205 108087 180145 231615 252203 324261 540435 756609 1261015 1621305 2269827 3783045 10057349 11349135 30172047 50286745 70401443 90516141 150860235 211204329 352007215 452580705 492810101 633612987 1056021645 1478430303 2464050505 3168064935 4435290909 7392151515 22176454545 51765175303 155295525909 258825876515 362356227121 465886577727 776477629545 1087068681363 1811781135605 2329432888635 2536493589847 3261206044089 5435343406815 7609480769541 12682467949235 16306030220445 22828442308623 38047403847705 114142211543115