Search a number
-
+
331386048448 = 2671324376929
BaseRepresentation
bin1001101001010000010…
…01011100111111000000
31011200100212022111010221
410310220021130333000
520412134312022243
6412123041032424
732641024635640
oct4645011347700
91150325274127
10331386048448
111185a3870014
1254284625714
13253323c9100
14120796aa520
158947d23bed
hex4d2825cfc0

331386048448 has 84 divisors (see below), whose sum is σ = 813793841040. Its totient is φ = 131097747456.

The previous prime is 331386048379. The next prime is 331386048457. The reversal of 331386048448 is 844840683133.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 331386048395 and 331386048404.

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 11 ways as a sum of consecutive naturals, for example, 2112753 + ... + 2264176.

Almost surely, 2331386048448 is an apocalyptic number.

It is an amenable number.

331386048448 is an abundant number, since it is smaller than the sum of its proper divisors (482407792592).

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

331386048448 is a wasteful number, since it uses less digits than its factorization.

331386048448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376974 (or 4376951 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 331386048448 in words is "three hundred thirty-one billion, three hundred eighty-six million, forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 169 182 208 224 338 364 416 448 676 728 832 1183 1352 1456 2366 2704 2912 4732 5408 5824 9464 10816 18928 37856 75712 4376929 8753858 17507716 30638503 35015432 56900077 61277006 70030864 113800154 122554012 140061728 227600308 245108024 280123456 398300539 455200616 490216048 739701001 796601078 910401232 980432096 1479402002 1593202156 1820802464 1960864192 2958804004 3186404312 3641604928 5177907007 5917608008 6372808624 10355814014 11835216016 12745617248 20711628028 23670432032 25491234496 41423256056 47340864064 82846512112 165693024224 331386048448