Search a number
-
+
146141312 = 271960091
BaseRepresentation
bin10001011010111…
…11000010000000
3101011222202012012
420231133002000
5244403010222
622300152052
73423115652
oct1055370200
9334882165
10146141312
1175547149
1240b38628
132437a765
14155a26d2
15cc6b1e2
hex8b5f080

146141312 has 32 divisors (see below), whose sum is σ = 306469200. Its totient is φ = 69223680.

The previous prime is 146141297. The next prime is 146141321. The reversal of 146141312 is 213141641.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27614 + ... + 32477.

Almost surely, 2146141312 is an apocalyptic number.

It is an amenable number.

146141312 is an abundant number, since it is smaller than the sum of its proper divisors (160327888).

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

146141312 is an equidigital number, since it uses as much as digits as its factorization.

146141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60124 (or 60112 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 146141312 is about 12088.8920915028. The cubic root of 146141312 is about 526.7335733689.

Adding to 146141312 its reverse (213141641), we get a palindrome (359282953).

The spelling of 146141312 in words is "one hundred forty-six million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 60091 120182 240364 480728 961456 1141729 1922912 2283458 3845824 4566916 7691648 9133832 18267664 36535328 73070656 146141312