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4414555341 = 327315342649
BaseRepresentation
bin1000001110010000…
…01100010011001101
3102101122202122110200
410013020030103031
533020111232331
62010015124113
7214253046510
oct40710142315
912348678420
104414555341
1119659a0849
12a32513639
1355478b131
142dc426d77
151ac8615e6
hex10720c4cd

4414555341 has 48 divisors (see below), whose sum is σ = 7664716800. Its totient is φ = 2395111680.

The previous prime is 4414555339. The next prime is 4414555357. The reversal of 4414555341 is 1435554144.

It is not a de Polignac number, because 4414555341 - 21 = 4414555339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4414555296 and 4414555305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414555331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82185 + ... + 124833.

It is an arithmetic number, because the mean of its divisors is an integer number (159681600).

Almost surely, 24414555341 is an apocalyptic number.

It is an amenable number.

4414555341 is a deficient number, since it is larger than the sum of its proper divisors (3250161459).

4414555341 is a wasteful number, since it uses less digits than its factorization.

4414555341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42746 (or 42743 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 4414555341 is about 66442.1202325754. The cubic root of 4414555341 is about 1640.4474464462.

The spelling of 4414555341 in words is "four billion, four hundred fourteen million, five hundred fifty-five thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 31 53 63 93 159 217 279 371 477 651 1113 1643 1953 3339 4929 11501 14787 34503 42649 103509 127947 298543 383841 895629 1322119 2260397 2686887 3966357 6781191 9254833 11899071 15822779 20343573 27764499 47468337 70072307 83293497 142405011 210216921 490506149 630650763 1471518447 4414555341