Search a number
-
+
31144303200 = 2535212976793
BaseRepresentation
bin11101000000010110…
…000101101001100000
32222101111111112021010
4131000112011221200
51002240420200300
622150230300520
72151533131533
oct350026055140
988344445233
1031144303200
1112232168a5a
1260521b7740
132c2448819a
1417163daa1a
15c24311a50
hex740585a60

31144303200 has 72 divisors (see below), whose sum is σ = 101374714728. Its totient is φ = 8305146880.

The previous prime is 31144303193. The next prime is 31144303213. The reversal of 31144303200 is 230344113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6485997 + ... + 6490796.

It is an arithmetic number, because the mean of its divisors is an integer number (1407982149).

Almost surely, 231144303200 is an apocalyptic number.

31144303200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31144303200 is an abundant number, since it is smaller than the sum of its proper divisors (70230411528).

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

31144303200 is a wasteful number, since it uses less digits than its factorization.

31144303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12976816 (or 12976803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31144303200 its reverse (230344113), we get a palindrome (31374647313).

The spelling of 31144303200 in words is "thirty-one billion, one hundred forty-four million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 12976793 25953586 38930379 51907172 64883965 77860758 103814344 129767930 155721516 194651895 207628688 259535860 311443032 324419825 389303790 415257376 519071720 622886064 648839650 778607580 973259475 1038143440 1245772128 1297679300 1557215160 1946518950 2076286880 2595358600 3114430320 3893037900 5190717200 6228860640 7786075800 10381434400 15572151600 31144303200