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4021444134432 = 253214279785107
BaseRepresentation
bin111010100001010000101…
…111111100011000100000
3112020110001100121121012100
4322201100233330120200
51011341404144300212
612315232000130400
7563353064100354
oct72412057743040
915213040547170
104021444134432
11131053741421a
1254b471606a00
132322b373548a
14dc8d3345464
156e9188d7bdc
hex3a850bfc620

4021444134432 has 72 divisors (see below), whose sum is σ = 11443996929456. Its totient is φ = 1339541870976.

The previous prime is 4021444134413. The next prime is 4021444134437. The reversal of 4021444134432 is 2344314441204.

4021444134432 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 4 + 1 + 3 + 4 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4021444134437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4481578 + ... + 5303529.

It is an arithmetic number, because the mean of its divisors is an integer number (158944401798).

Almost surely, 24021444134432 is an apocalyptic number.

It is an amenable number.

4021444134432 is an abundant number, since it is smaller than the sum of its proper divisors (7422552795024).

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

4021444134432 is a wasteful number, since it uses less digits than its factorization.

4021444134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786550 (or 9786539 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4021444134432 its reverse (2344314441204), we get a palindrome (6365758575636).

The spelling of 4021444134432 in words is "four trillion, twenty-one billion, four hundred forty-four million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1427 2854 4281 5708 8562 11416 12843 17124 22832 25686 34248 45664 51372 68496 102744 136992 205488 410976 9785107 19570214 29355321 39140428 58710642 78280856 88065963 117421284 156561712 176131926 234842568 313123424 352263852 469685136 704527704 939370272 1409055408 2818110816 13963347689 27926695378 41890043067 55853390756 83780086134 111706781512 125670129201 167560172268 223413563024 251340258402 335120344536 446827126048 502680516804 670240689072 1005361033608 1340481378144 2010722067216 4021444134432