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312040200032 = 25115316725997
BaseRepresentation
bin1001000101001110000…
…10111001011101100000
31002211102121200120011122
410202213002321131200
520103024242400112
6355203240231412
731354434636341
oct4424702713540
91084377616148
10312040200032
11110376615840
125058576b568
132356b3ca022
14111622260c8
1581b4720872
hex48a70b9760

312040200032 has 48 divisors (see below), whose sum is σ = 682822142352. Its totient is φ = 139160286720.

The previous prime is 312040200029. The next prime is 312040200047. The reversal of 312040200032 is 230002040213.

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 7 ways as a sum of consecutive naturals, for example, 8344343 + ... + 8381654.

It is an arithmetic number, because the mean of its divisors is an integer number (14225461299).

Almost surely, 2312040200032 is an apocalyptic number.

312040200032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312040200032 is an abundant number, since it is smaller than the sum of its proper divisors (370781942320).

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

312040200032 is a wasteful number, since it uses less digits than its factorization.

312040200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16726071 (or 16726063 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 312040200032 its reverse (230002040213), we get a palindrome (542042240245).

The spelling of 312040200032 in words is "three hundred twelve billion, forty million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 9328 18656 16725997 33451994 66903988 133807976 183985967 267615952 367971934 535231904 735943868 886477841 1471887736 1772955682 2943775472 3545911364 5887550944 7091822728 9751256251 14183645456 19502512502 28367290912 39005025004 78010050008 156020100016 312040200032