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2133441312 = 25337600631
BaseRepresentation
bin111111100101001…
…1011101100100000
312111200110001021220
41333022123230200
513332130110222
6551411015040
7103603644342
oct17712335440
95450401256
102133441312
119a52aa042
124b659a480
1327ccc9312
141634b3292
15c7470b5c
hex7f29bb20

2133441312 has 48 divisors (see below), whose sum is σ = 5751652032. Its totient is φ = 691925760.

The previous prime is 2133441307. The next prime is 2133441313. The reversal of 2133441312 is 2131443312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (2133441313) by changing a digit.

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, 296764 + ... + 303867.

It is an arithmetic number, because the mean of its divisors is an integer number (119826084).

Almost surely, 22133441312 is an apocalyptic number.

It is an amenable number.

2133441312 is an abundant number, since it is smaller than the sum of its proper divisors (3618210720).

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

2133441312 is a wasteful number, since it uses less digits than its factorization.

2133441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600681 (or 600673 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 2133441312 is about 46189.1904237344. The cubic root of 2133441312 is about 1287.3408983278.

Adding to 2133441312 its reverse (2131443312), we get a palindrome (4264884624).

The spelling of 2133441312 in words is "two billion, one hundred thirty-three million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 600631 1201262 1801893 2402524 3603786 4805048 7207572 9610096 14415144 19220192 22223347 28830288 44446694 57660576 66670041 88893388 133340082 177786776 266680164 355573552 533360328 711147104 1066720656 2133441312