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3344437407441 = 313389599368029
BaseRepresentation
bin110000101010110000000…
…000001110111011010001
3102211201120121000111100110
4300222300000032323101
5414243401434014231
611040225140311533
7463425163625244
oct60526000167321
912751517014313
103344437407441
11107a4057aa999
124602113a25a9
131b34c0b40830
14b7c2ba9b25b
155bee3262046
hex30ab000eed1

3344437407441 has 32 divisors (see below), whose sum is σ = 4822665120000. Its totient is φ = 2049391888128.

The previous prime is 3344437407439. The next prime is 3344437407463. The reversal of 3344437407441 is 1447047344433.

It is not a de Polignac number, because 3344437407441 - 21 = 3344437407439 is a prime.

It is a super-2 number, since 2×33444374074412 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3344437406441) 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 31 ways as a sum of consecutive naturals, for example, 8903415 + ... + 9271443.

It is an arithmetic number, because the mean of its divisors is an integer number (150708285000).

Almost surely, 23344437407441 is an apocalyptic number.

It is an amenable number.

3344437407441 is a deficient number, since it is larger than the sum of its proper divisors (1478227712559).

3344437407441 is a wasteful number, since it uses less digits than its factorization.

3344437407441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369033.

The product of its (nonzero) digits is 5419008, while the sum is 48.

The spelling of 3344437407441 in words is "three trillion, three hundred forty-four billion, four hundred thirty-seven million, four hundred seven thousand, four hundred forty-one".

Divisors: 1 3 13 39 389 599 1167 1797 5057 7787 15171 23361 233011 368029 699033 1104087 3029143 4784377 9087429 14353131 143163281 220449371 429489843 661348113 1861122653 2865841823 5583367959 8597525469 85754805319 257264415957 1114812469147 3344437407441