Search a number
-
+
300131331344 = 24132575614549
BaseRepresentation
bin1000101111000010011…
…10001010110100010000
31001200200200001100110222
410113201032022310100
514404132110100334
6345513424012212
730453351136505
oct4274116126420
91050620040428
10300131331344
111063153484a9
124a201461068
13223c10c2370
141075276b4ac
157c18ea1d2e
hex45e138ad10

300131331344 has 40 divisors (see below), whose sum is σ = 628672392600. Its totient is φ = 137983131648.

The previous prime is 300131331343. The next prime is 300131331431. The reversal of 300131331344 is 443133131003.

It can be written as a sum of positive squares in 4 ways, for example, as 96087600400 + 204043730944 = 309980^2 + 451712^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (300131331341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2753819 + ... + 2860730.

It is an arithmetic number, because the mean of its divisors is an integer number (15716809815).

Almost surely, 2300131331344 is an apocalyptic number.

It is an amenable number.

300131331344 is an abundant number, since it is smaller than the sum of its proper divisors (328541061256).

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

300131331344 is a wasteful number, since it uses less digits than its factorization.

300131331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614827 (or 5614821 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 300131331344 its reverse (443133131003), we get a palindrome (743264462347).

The spelling of 300131331344 in words is "three hundred billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 257 514 1028 2056 3341 4112 6682 13364 26728 53456 5614549 11229098 22458196 44916392 72989137 89832784 145978274 291956548 583913096 1167826192 1442939093 2885878186 5771756372 11543512744 18758208209 23087025488 37516416418 75032832836 150065665672 300131331344