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44402011221 = 3171922324797
BaseRepresentation
bin101001010110100100…
…001110110001010101
311020121110012212200010
4221112210032301111
51211413403324341
632221545110433
73131215603521
oct512644166125
9136543185603
1044402011221
1117915861247
128732188419
13425806ab29
14221308ad81
15124d1bb716
hexa5690ec55

44402011221 has 144 divisors (see below), whose sum is σ = 71359190784. Its totient is φ = 24454324224.

The previous prime is 44402011117. The next prime is 44402011223. The reversal of 44402011221 is 12211020444.

It is not a de Polignac number, because 44402011221 - 214 = 44401994837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44402011223) 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 143 ways as a sum of consecutive naturals, for example, 457752645 + ... + 457752741.

It is an arithmetic number, because the mean of its divisors is an integer number (495549936).

Almost surely, 244402011221 is an apocalyptic number.

It is an amenable number.

44402011221 is a deficient number, since it is larger than the sum of its proper divisors (26957179563).

44402011221 is a wasteful number, since it uses less digits than its factorization.

44402011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 44402011221 its reverse (12211020444), we get a palindrome (56613031665).

The spelling of 44402011221 in words is "forty-four billion, four hundred two million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 17 19 23 47 51 57 69 97 141 291 323 361 391 437 529 799 893 969 1081 1083 1173 1311 1587 1649 1843 2231 2397 2679 3243 4559 4947 5529 6137 6693 7429 8303 8993 10051 13677 15181 16967 18377 18411 20539 22287 24863 24909 26979 30153 31331 35017 37927 42389 45543 50901 51313 55131 61617 74589 77503 86621 93993 104857 105051 113781 127167 141151 153939 170867 190969 232509 259863 288439 314571 349163 390241 422671 423453 472397 512601 572907 595289 720613 805391 865317 872321 974947 1047489 1170723 1268013 1417191 1472557 1645799 1782569 1785867 1992283 2161839 2411711 2416173 2616963 2924841 3246473 4417671 4937397 5347707 5976849 6634097 7235133 8030749 8975543 9739419 13691647 16574099 18523993 19902291 24092247 26926629 27978583 33868811 37853377 40999087 41074941 45822509 49722297 55571979 83935749 101606433 113560131 122997261 137467527 152584231 314907881 457752693 643507409 778982653 870627671 944723643 1930522227 2336947959 2611883013 14800670407 44402011221