Search a number
-
+
146378826234 = 232411019194647
BaseRepresentation
bin1000100001010011011…
…0111010000111111010
3111222211101120211022200
42020110312322013322
54344240434414414
6151125010131030
713401255331224
oct2102466720772
9458741524280
10146378826234
1157096038763
1224451b80a76
1310a5a2978a4
14712888d414
153c1ac39109
hex2214dba1fa

146378826234 has 48 divisors (see below), whose sum is σ = 325210092480. Its totient is φ = 47555910720.

The previous prime is 146378826233. The next prime is 146378826263. The reversal of 146378826234 is 432628873641.

146378826234 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 7 + 8 + 8 + 2 + 623 + 4 = 666.

146378826234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146378826233) 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, 654699 + ... + 849345.

It is an arithmetic number, because the mean of its divisors is an integer number (6775210260).

Almost surely, 2146378826234 is an apocalyptic number.

146378826234 is an abundant number, since it is smaller than the sum of its proper divisors (178831266246).

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

146378826234 is a wasteful number, since it uses less digits than its factorization.

146378826234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195715 (or 195712 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 146378826234 in words is "one hundred forty-six billion, three hundred seventy-eight million, eight hundred twenty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 1019 2038 3057 6114 9171 18342 41779 83558 125337 194647 250674 376011 389294 583941 752022 1167882 1751823 3503646 7980527 15961054 23941581 47883162 71824743 143649486 198345293 396690586 595035879 1190071758 1785107637 3570215274 8132157013 16264314026 24396471039 48792942078 73189413117 146378826234