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444808040805 = 325234120635081
BaseRepresentation
bin1100111100100001010…
…00000001000101100101
31120112010102210200112200
412132100220001011211
524241431324301210
6540201512005113
744064520651332
oct6362050010545
91515112720480
10444808040805
111617075a7687
1272259390799
1332c3984c05b
1417759143989
15b88556a0c0
hex6790a01165

444808040805 has 96 divisors (see below), whose sum is σ = 824706634752. Its totient is φ = 221231155200.

The previous prime is 444808040797. The next prime is 444808040813. The reversal of 444808040805 is 508040808444.

It is an interprime number because it is at equal distance from previous prime (444808040797) and next prime (444808040813).

It is not a de Polignac number, because 444808040805 - 23 = 444808040797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87540865 + ... + 87545945.

It is an arithmetic number, because the mean of its divisors is an integer number (8590694112).

Almost surely, 2444808040805 is an apocalyptic number.

444808040805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444808040805 is a deficient number, since it is larger than the sum of its proper divisors (379898593947).

444808040805 is a wasteful number, since it uses less digits than its factorization.

444808040805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7219 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 444808040805 in words is "four hundred forty-four billion, eight hundred eight million, forty thousand, eight hundred five".

Divisors: 1 3 5 9 15 23 41 45 69 115 123 205 207 345 369 615 943 1035 1845 2063 2829 4715 5081 6189 8487 10315 14145 15243 18567 25405 30945 42435 45729 47449 76215 84583 92835 116863 142347 208321 228645 237245 253749 350589 422915 427041 584315 624963 711735 761247 1041605 1051767 1268745 1752945 1874889 1945409 2135205 3124815 3806235 4791383 5258835 5836227 9374445 9727045 10482103 14374149 17508681 23956915 29181135 31446309 43122447 52410515 71870745 87543405 94338927 157231545 215612235 241088369 429766223 471694635 723265107 1205441845 1289298669 2148831115 2169795321 3616325535 3867896007 6446493345 9884623129 10848976605 19339480035 29653869387 49423115645 88961608161 148269346935 444808040805