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4443114105 = 3253743229271
BaseRepresentation
bin1000010001101010…
…01000101001111001
3102110122111120201200
410020311020221321
533044414122410
62012515204413
7215050563303
oct41065105171
912418446650
104443114105
111980027431
12a3bba6709
1355a67a101
1430213c973
151b01033c0
hex108d48a79

4443114105 has 96 divisors (see below), whose sum is σ = 8158824960. Its totient is φ = 2233889280.

The previous prime is 4443114097. The next prime is 4443114127. The reversal of 4443114105 is 5014113444.

4443114105 is a `hidden beast` number, since 4 + 443 + 114 + 105 = 666.

It is not a de Polignac number, because 4443114105 - 23 = 4443114097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16395120 + ... + 16395390.

It is an arithmetic number, because the mean of its divisors is an integer number (84987760).

Almost surely, 24443114105 is an apocalyptic number.

4443114105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4443114105 is a deficient number, since it is larger than the sum of its proper divisors (3715710855).

4443114105 is a wasteful number, since it uses less digits than its factorization.

4443114105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4443114105 is about 66656.6883740859. The cubic root of 4443114105 is about 1643.9773215566.

Adding to 4443114105 its reverse (5014113444), we get a palindrome (9457227549).

The spelling of 4443114105 in words is "four billion, four hundred forty-three million, one hundred fourteen thousand, one hundred five".

Divisors: 1 3 5 9 15 37 43 45 111 129 185 215 229 271 333 387 555 645 687 813 1145 1355 1591 1665 1935 2061 2439 3435 4065 4773 7955 8473 9847 10027 10305 11653 12195 14319 23865 25419 29541 30081 34959 42365 49235 50135 58265 62059 71595 76257 88623 90243 104877 127095 147705 150405 174795 186177 310295 364339 381285 431161 443115 451215 524385 558531 930885 1093017 1293483 1821695 2155805 2296183 2668537 2792655 3279051 3880449 5465085 6467415 6888549 8005611 11480915 13342685 16395255 19402245 20665647 24016833 34442745 40028055 98735869 103328235 120084165 296207607 493679345 888622821 1481038035 4443114105