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4414341645 = 35572531399
BaseRepresentation
bin1000001110001110…
…11000001000001101
3102101122100210100000
410013013120020031
533020032413040
62010010354513
7214251166500
oct40707301015
912348323300
104414341645
11196586523a
12a3242ba39
13554714a9c
142dc3ad137
151ac81d130
hex1071d820d

4414341645 has 144 divisors (see below), whose sum is σ = 9411292800. Its totient is φ = 1978494336.

The previous prime is 4414341643. The next prime is 4414341683. The reversal of 4414341645 is 5461434144.

4414341645 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 3 + 4 + 1 + 645 = 666.

It is not a de Polignac number, because 4414341645 - 21 = 4414341643 is a prime.

It is a super-3 number, since 3×44143416453 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414341643) 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 143 ways as a sum of consecutive naturals, for example, 3154656 + ... + 3156054.

It is an arithmetic number, because the mean of its divisors is an integer number (65356200).

Almost surely, 24414341645 is an apocalyptic number.

4414341645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4414341645 is an abundant number, since it is smaller than the sum of its proper divisors (4996951155).

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

4414341645 is a wasteful number, since it uses less digits than its factorization.

4414341645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1467 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4414341645 is about 66440.5120765938. The cubic root of 4414341645 is about 1640.4209762292.

Adding to 4414341645 its reverse (5461434144), we get a palindrome (9875775789).

The spelling of 4414341645 in words is "four billion, four hundred fourteen million, three hundred forty-one thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 53 63 81 105 135 147 159 189 243 245 265 315 371 405 441 477 567 735 795 945 1113 1215 1323 1399 1431 1701 1855 2205 2385 2597 2835 3339 3969 4197 4293 5565 6615 6995 7155 7791 8505 9793 10017 11907 12591 12879 12985 16695 19845 20985 21465 23373 29379 30051 37773 38955 48965 50085 59535 62955 64395 68551 70119 74147 88137 90153 113319 116865 146895 150255 188865 205653 210357 222441 264411 339957 342755 350595 370735 440685 450765 519029 566595 616959 631071 667323 793233 1028265 1051785 1112205 1322055 1557087 1699785 1850877 2001969 2379699 2595145 3084795 3155355 3336615 3633203 3966165 4671261 5552631 6005907 7785435 9254385 10009845 10899609 11898495 14013783 16657893 18017721 18166015 23356305 27763155 30029535 32698827 42041349 54498045 70068915 83289465 90088605 98096481 126124047 163494135 210206745 294289443 490482405 630620235 882868329 1471447215 4414341645