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44994894399 = 32721337434933
BaseRepresentation
bin101001111001111001…
…111001101000111111
311022010202211110111100
4221321321321220333
51214122143110044
632400444424143
73152005202100
oct517171715077
9138122743440
1044994894399
111809a499144
128878848053
134320b44290
14226bb003a7
151285280869
hexa79e79a3f

44994894399 has 144 divisors (see below), whose sum is σ = 85581848352. Its totient is φ = 22550524416.

The previous prime is 44994894341. The next prime is 44994894433. The reversal of 44994894399 is 99349849944.

44994894399 is a `hidden beast` number, since 4 + 499 + 4 + 8 + 9 + 43 + 99 = 666.

It is a Cunningham number, because it is equal to 2121202-1.

It is a de Polignac number, because none of the positive numbers 2k-44994894399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44994896399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9118737 + ... + 9123669.

Almost surely, 244994894399 is an apocalyptic number.

44994894399 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

44994894399 is a deficient number, since it is larger than the sum of its proper divisors (40586953953).

44994894399 is a wasteful number, since it uses less digits than its factorization.

44994894399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5036 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 44994894399 in words is "forty-four billion, nine hundred ninety-four million, eight hundred ninety-four thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 13 21 37 39 43 49 63 91 111 117 129 147 259 273 301 333 387 441 481 559 637 777 819 903 1443 1591 1677 1813 1911 2107 2331 2709 3367 3913 4329 4773 4933 5031 5439 5733 6321 10101 11137 11739 14319 14799 16317 18963 20683 23569 27391 30303 33411 34531 35217 44397 62049 64129 70707 77959 82173 100233 103593 144781 182521 186147 192387 212119 212121 233877 241717 246519 310779 434343 448903 547563 577161 636357 701631 725151 1013467 1277647 1303029 1346709 1484833 1642689 1909071 2175453 2372773 2757547 3040401 3142321 3832941 4040127 4454499 7118319 7848403 8272641 8943529 9121203 9426963 10393831 11498823 13363497 16609411 19302829 21354957 23545209 24817923 26830587 28280889 31181493 49828233 54938821 57908487 70635627 80491761 93544479 102029239 116265877 135119803 149484699 164816463 173725461 306087717 348797631 384571747 405359409 494449389 714204673 918263151 1046392893 1153715241 1216078227 2142614019 3461145723 4999432711 6427842057 14998298133 44994894399