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1331414244 = 2232292295569
BaseRepresentation
bin100111101011011…
…1100010011100100
310102210021211222200
41033112330103210
510211320223434
6340040454500
744664556116
oct11726742344
93383254880
101331414244
11623604256
12311a7a430
13182ab68a4
14c8b7b3b6
157bd48199
hex4f5bc4e4

1331414244 has 72 divisors (see below), whose sum is σ = 3497403000. Its totient is φ = 426553344.

The previous prime is 1331414213. The next prime is 1331414267. The reversal of 1331414244 is 4424141331.

1331414244 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 414 + 244 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 297148644 + 1034265600 = 17238^2 + 32160^2 .

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 236292 + ... + 241860.

Almost surely, 21331414244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331414244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748701500).

1331414244 is an abundant number, since it is smaller than the sum of its proper divisors (2165988756).

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

1331414244 is a wasteful number, since it uses less digits than its factorization.

1331414244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5832 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1331414244 is about 36488.5494915871. The cubic root of 1331414244 is about 1100.1141049677.

Adding to 1331414244 its reverse (4424141331), we get a palindrome (5755555575).

The spelling of 1331414244 in words is "one billion, three hundred thirty-one million, four hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 229 261 348 458 522 687 916 1044 1374 2061 2748 4122 5569 6641 8244 11138 13282 16707 19923 22276 26564 33414 39846 50121 59769 66828 79692 100242 119538 161501 200484 239076 323002 484503 646004 969006 1275301 1453509 1938012 2550602 2907018 3825903 5101204 5814036 7651806 11477709 15303612 22955418 36983729 45910836 73967458 110951187 147934916 221902374 332853561 443804748 665707122 1331414244