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4132441332 = 2232412799757
BaseRepresentation
bin1111011001010000…
…0000110011110100
3101122222220202210200
43312110000303310
531430401110312
61522020320500
7204256112625
oct36624006364
911588822720
104132441332
111830723378
12973b43130
1350b1b3476
142b2b8ba4c
15192bd70dc
hexf6500cf4

4132441332 has 36 divisors (see below), whose sum is σ = 10700675076. Its totient is φ = 1343882880.

The previous prime is 4132441319. The next prime is 4132441351. The reversal of 4132441332 is 2331442314.

4132441332 is a `hidden beast` number, since 4 + 1 + 324 + 4 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 243172836 + 3889268496 = 15594^2 + 62364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4132441296 and 4132441305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398403 + ... + 1401354.

Almost surely, 24132441332 is an apocalyptic number.

It is an amenable number.

4132441332 is an abundant number, since it is smaller than the sum of its proper divisors (6568233744).

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

4132441332 is a wasteful number, since it uses less digits than its factorization.

4132441332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799808 (or 2799803 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4132441332 is about 64284.0674817641. The cubic root of 4132441332 is about 1604.7309625624.

Adding to 4132441332 its reverse (2331442314), we get a palindrome (6463883646).

The spelling of 4132441332 in words is "four billion, one hundred thirty-two million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2799757 5599514 8399271 11199028 16798542 25197813 33597084 50395626 100791252 114790037 229580074 344370111 459160148 688740222 1033110333 1377480444 2066220666 4132441332