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4445051121 = 337219241227
BaseRepresentation
bin1000010001111001…
…00001100011110001
3102110210010222211000
410020330201203301
533100413113441
62013024512213
7215103211500
oct41074414361
912423128730
104445051121
11198112a775
12a4077b669
1355aba7984
143024c4837
151b03872b6
hex108f218f1

4445051121 has 144 divisors (see below), whose sum is σ = 8318479680. Its totient is φ = 2337310080.

The previous prime is 4445051113. The next prime is 4445051147. The reversal of 4445051121 is 1211505444.

4445051121 is a `hidden beast` number, since 4 + 44 + 505 + 112 + 1 = 666.

It is not a de Polignac number, because 4445051121 - 23 = 4445051113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4445051111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19581610 + ... + 19581836.

It is an arithmetic number, because the mean of its divisors is an integer number (57767220).

Almost surely, 24445051121 is an apocalyptic number.

4445051121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4445051121 is a deficient number, since it is larger than the sum of its proper divisors (3873428559).

4445051121 is a wasteful number, since it uses less digits than its factorization.

4445051121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4445051121 is about 66671.2165855701. The cubic root of 4445051121 is about 1644.2161891357.

Adding to 4445051121 its reverse (1211505444), we get a palindrome (5656556565).

The spelling of 4445051121 in words is "four billion, four hundred forty-five million, fifty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 27 41 49 57 63 123 133 147 171 189 227 287 361 369 399 441 513 681 779 861 931 1083 1107 1197 1323 1589 2009 2043 2337 2527 2583 2793 3249 3591 4313 4767 5453 6027 6129 7011 7581 7749 8379 9307 9747 11123 12939 14301 14801 16359 17689 18081 21033 22743 25137 27921 30191 33369 38171 38817 42903 44403 49077 53067 54243 65149 68229 81947 83763 90573 100107 103607 114513 116451 133209 147231 159201 176833 195447 211337 245841 251289 271719 300321 310821 343539 399627 456043 477603 530499 573629 586341 634011 725249 737523 815157 932463 1030617 1237831 1368129 1591497 1720887 1759023 1902033 2175747 2212569 2797389 3359827 3713493 4015403 4104387 4774491 5162661 5706099 6527241 8664817 10079481 11140479 12046209 12313161 15487983 19581723 23518789 25994451 30238443 33421437 36138627 70556367 77983353 90715329 108415881 164631523 211669101 233950059 493894569 635007303 1481683707 4445051121