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44444133442341 = 358931350912899
BaseRepresentation
bin10100001101011111101001…
…10010010100001100100101
312211100211002002001020200000
422012233310302110030211
521311133041130123331
6234305204131211513
712234661026034023
oct1206576462241445
9184324062036600
1044444133442341
1113185718743526
124b996a2446b99
131ba50aa227a49
14ad9171117713
15521161ddb0e6
hex286bf4c94325

44444133442341 has 96 divisors (see below), whose sum is σ = 67675804560000. Its totient is φ = 29143275752448.

The previous prime is 44444133442327. The next prime is 44444133442351. The reversal of 44444133442341 is 14324433144444.

44444133442341 is a `hidden beast` number, since 4 + 4 + 4 + 44 + 133 + 442 + 34 + 1 = 666.

It is not a de Polignac number, because 44444133442341 - 215 = 44444133409573 is a prime.

It is a super-2 number, since 2×444441334423412 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44444133442351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3445542310 + ... + 3445555208.

It is an arithmetic number, because the mean of its divisors is an integer number (704956297500).

Almost surely, 244444133442341 is an apocalyptic number.

It is an amenable number.

44444133442341 is a deficient number, since it is larger than the sum of its proper divisors (23231671117659).

44444133442341 is a wasteful number, since it uses less digits than its factorization.

44444133442341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13825 (or 13813 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 45.

Adding to 44444133442341 its reverse (14324433144444), we get a palindrome (58768566586785).

The spelling of 44444133442341 in words is "forty-four trillion, four hundred forty-four billion, one hundred thirty-three million, four hundred forty-two thousand, three hundred forty-one".

Divisors: 1 3 9 27 81 89 243 267 313 509 801 939 1527 2403 2817 4581 7209 8451 12899 13743 21627 25353 27857 38697 41229 45301 76059 83571 116091 123687 135903 159317 250713 348273 407709 477951 752139 1044819 1148011 1223127 1433853 2256417 3134457 3444033 3669381 4037387 4301559 6565591 6769251 10332099 11008143 12112161 12904677 14179213 19696773 30996297 36336483 38714031 42537639 59090319 92988891 109009449 127612917 177270957 278966673 327028347 359327443 382838751 531812871 584337599 981085041 1077982329 1148516253 1595438613 1753012797 2055029983 3233946987 3445548759 5259038391 6165089949 9701840961 15777115173 18495269847 29105522883 47331345519 55485809541 87316568649 141994036557 166457428623 182897668487 499372285869 548693005461 1646079016383 4938237049149 14814711147447 44444133442341