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3204449144337 = 3721960112891481
BaseRepresentation
bin101110101000011000000…
…011011000111000010001
3102100100020120101220121010
4232220120003120320101
5410000202440104322
610452034214121133
7450341144211300
oct56503003307021
912310216356533
103204449144337
111025aaa002971
124390636501a9
131a324182ab5c
14b114bc46437
155854d5ad20c
hex2ea180d8e11

3204449144337 has 96 divisors (see below), whose sum is σ = 5248065513600. Its totient is φ = 1729340928000.

The previous prime is 3204449144329. The next prime is 3204449144357. The reversal of 3204449144337 is 7334419444023.

It is not a de Polignac number, because 3204449144337 - 23 = 3204449144329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3204449144317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2163705637 + ... + 2163707117.

It is an arithmetic number, because the mean of its divisors is an integer number (54667349100).

Almost surely, 23204449144337 is an apocalyptic number.

It is an amenable number.

3204449144337 is a deficient number, since it is larger than the sum of its proper divisors (2043616369263).

3204449144337 is a wasteful number, since it uses less digits than its factorization.

3204449144337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 3204449144337 in words is "three trillion, two hundred four billion, four hundred forty-nine million, one hundred forty-four thousand, three hundred thirty-seven".

Divisors: 1 3 7 19 21 49 57 133 147 399 601 931 1289 1481 1803 2793 3867 4207 4443 9023 10367 11419 12621 24491 27069 28139 29449 31101 34257 63161 72569 73473 79933 84417 88347 171437 189483 196973 217707 239799 514311 559531 590919 774689 890081 1200059 1378811 1678593 1909009 2324067 2670243 3600177 4136433 5422823 5727027 6230567 13363063 14719091 16268469 16911539 18691701 36271171 37959761 40089189 43613969 44157273 50734617 93541441 103033637 108813513 113879283 118380773 130841907 253898197 280624323 309100911 355142319 721235459 761694591 828665411 1147314409 1777287379 2163706377 2485996233 3441943227 5331862137 8031200863 21798973771 24093602589 56218406041 65396921313 152592816397 168655218123 457778449191 1068149714779 3204449144337