Search a number
-
+
146158851641 = 1119699324649
BaseRepresentation
bin1000100000011110111…
…1110001011000111001
3111222021001122221220112
42020013233301120321
54343313131223031
6151051111234105
713362644511665
oct2100757613071
9458231587815
10146158851641
1156a92952580
12243b0378935
1310a238388ca
14710758b8a5
153c0678662b
hex2207bf1639

146158851641 has 8 divisors (see below), whose sum is σ = 167837916000. Its totient is φ = 125878436640.

The previous prime is 146158851613. The next prime is 146158851661.

146158851641 is nontrivially palindromic in base 10.

146158851641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 146158851641 - 214 = 146158835257 is a prime.

It is a super-3 number, since 3×1461588516413 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 146158851641.

It is not an unprimeable number, because it can be changed into a prime (146158851661) 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 7 ways as a sum of consecutive naturals, for example, 349662116 + ... + 349662533.

It is an arithmetic number, because the mean of its divisors is an integer number (20979739500).

Almost surely, 2146158851641 is an apocalyptic number.

146158851641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146158851641 is a deficient number, since it is larger than the sum of its proper divisors (21679064359).

146158851641 is a wasteful number, since it uses less digits than its factorization.

146158851641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699324679.

The product of its digits is 921600, while the sum is 50.

It can be divided in two parts, 146158 and 851641, that added together give a palindrome (997799).

The spelling of 146158851641 in words is "one hundred forty-six billion, one hundred fifty-eight million, eight hundred fifty-one thousand, six hundred forty-one".

Divisors: 1 11 19 209 699324649 7692571139 13287168331 146158851641