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140134503450105 = 32537611379751917
BaseRepresentation
bin11111110111001110011011…
…010011001000010111111001
3200101011201122111012202101100
4133313032123103020113321
5121331430430340400410
61214012522510442013
741342245426533423
oct3767163323102771
9611151574182340
10140134503450105
114071878899806a
1213873009803309
13602681c5c91b8
14268679091d813
1511303478c08c0
hex7f739b4c85f9

140134503450105 has 48 divisors (see below), whose sum is σ = 253554250467024. Its totient is φ = 71526339325440.

The previous prime is 140134503450091. The next prime is 140134503450133. The reversal of 140134503450105 is 501054305431041.

140134503450105 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 3 + 4 + 503 + 45 + 0 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12591632243961 + 127542871206144 = 3548469^2 + 11293488^2 .

It is not a de Polignac number, because 140134503450105 - 219 = 140134502925817 is a prime.

It is a super-2 number, since 2×1401345034501052 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140134503450105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689774394 + ... + 689977523.

It is an arithmetic number, because the mean of its divisors is an integer number (5282380218063).

Almost surely, 2140134503450105 is an apocalyptic number.

140134503450105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140134503450105 is a deficient number, since it is larger than the sum of its proper divisors (113419747016919).

140134503450105 is a wasteful number, since it uses less digits than its factorization.

140134503450105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379752026 (or 1379752023 counting only the distinct ones).

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

Adding to 140134503450105 its reverse (501054305431041), we get a palindrome (641188808881146).

The spelling of 140134503450105 in words is "one hundred forty trillion, one hundred thirty-four billion, five hundred three million, four hundred fifty thousand, one hundred five".

Divisors: 1 3 5 9 15 37 45 61 111 183 185 305 333 549 555 915 1665 2257 2745 6771 11285 20313 33855 101565 1379751917 4139255751 6898759585 12417767253 20696278755 51050820929 62088836265 84164866937 153152462787 252494600811 255254104645 420824334685 459457388361 757483802433 765762313935 1262473004055 2297286941805 3114100076669 3787419012165 9342300230007 15570500383345 28026900690021 46711501150035 140134503450105