Search a number
-
+
146039504742 = 23319913590127
BaseRepresentation
bin1000100000000010100…
…0011111111101100110
3111221221202002111202000
42020000220133331212
54343042103122432
6151031205230130
713356665210565
oct2100050377546
9457852074660
10146039504742
1156a3154747a
1224378402346
1310a04bb0041
1470d57a1bdc
153beb05e57c
hex2200a1ff66

146039504742 has 32 divisors (see below), whose sum is σ = 326163072000. Its totient is φ = 48435209064.

The previous prime is 146039504713. The next prime is 146039504759. The reversal of 146039504742 is 247405930641.

146039504742 is a `hidden beast` number, since 1 + 46 + 0 + 39 + 504 + 74 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6784318 + ... + 6805809.

It is an arithmetic number, because the mean of its divisors is an integer number (10192596000).

Almost surely, 2146039504742 is an apocalyptic number.

146039504742 is an abundant number, since it is smaller than the sum of its proper divisors (180123567258).

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

146039504742 is a wasteful number, since it uses less digits than its factorization.

146039504742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13590337 (or 13590331 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 146039504742 in words is "one hundred forty-six billion, thirty-nine million, five hundred four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 199 398 597 1194 1791 3582 5373 10746 13590127 27180254 40770381 81540762 122311143 244622286 366933429 733866858 2704435273 5408870546 8113305819 16226611638 24339917457 48679834914 73019752371 146039504742