Search a number
-
+
105414535143 = 32411092620883
BaseRepresentation
bin110001000101100110…
…0100010011111100111
3101002002112001020010100
41202023030202133213
53211342110111033
6120232103155143
710421161523151
oct1421314423747
9332075036110
10105414535143
1140784836535
121851b145ab3
139c2c4cb7a8
1451601cbad1
152b1e776513
hex188b3227e7

105414535143 has 24 divisors (see below), whose sum is σ = 157410293040. Its totient is φ = 67933261440.

The previous prime is 105414535141. The next prime is 105414535181. The reversal of 105414535143 is 341535414501.

105414535143 is a `hidden beast` number, since 1 + 0 + 541 + 45 + 35 + 1 + 43 = 666.

It is not a de Polignac number, because 105414535143 - 21 = 105414535141 is a prime.

It is a super-2 number, since 2×1054145351432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105414535098 and 105414535107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414535141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270221 + ... + 1350662.

It is an arithmetic number, because the mean of its divisors is an integer number (6558762210).

Almost surely, 2105414535143 is an apocalyptic number.

105414535143 is a deficient number, since it is larger than the sum of its proper divisors (51995757897).

105414535143 is a wasteful number, since it uses less digits than its factorization.

105414535143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621039 (or 2621036 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 105414535143 its reverse (341535414501), we get a palindrome (446949949644).

The spelling of 105414535143 in words is "one hundred five billion, four hundred fourteen million, five hundred thirty-five thousand, one hundred forty-three".

Divisors: 1 3 9 41 109 123 327 369 981 4469 13407 40221 2620883 7862649 23587947 107456203 285676247 322368609 857028741 967105827 2571086223 11712726127 35138178381 105414535143