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44033413413 = 3111741253881
BaseRepresentation
bin101001000000100110…
…001001000100100101
311012122202122011112110
4221000212021010211
51210140023212123
632121220511233
73116121560403
oct510046110445
9135582564473
1044033413413
1117746794260
12864a84b519
1341c98a2812
1421ba13c473
15122ab5c493
hexa40989125

44033413413 has 96 divisors (see below), whose sum is σ = 70902470016. Its totient is φ = 24014848000.

The previous prime is 44033413409. The next prime is 44033413427. The reversal of 44033413413 is 31431433044.

It is not a de Polignac number, because 44033413413 - 22 = 44033413409 is a prime.

It is a super-3 number, since 3×440334134133 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44033412413) 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, 49980733 + ... + 49981613.

It is an arithmetic number, because the mean of its divisors is an integer number (738567396).

Almost surely, 244033413413 is an apocalyptic number.

It is an amenable number.

44033413413 is a deficient number, since it is larger than the sum of its proper divisors (26869056603).

44033413413 is a wasteful number, since it uses less digits than its factorization.

44033413413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 44033413413 its reverse (31431433044), we get a palindrome (75464846457).

It can be divided in two parts, 44033 and 413413, that added together give a triangular number (457446 = T956).

The spelling of 44033413413 in words is "forty-four billion, thirty-three million, four hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 11 17 33 41 51 53 123 159 187 451 561 583 697 881 901 1353 1681 1749 2091 2173 2643 2703 5043 6519 7667 9691 9911 14977 18491 23001 23903 28577 29073 29733 36121 36941 44931 46693 55473 71709 85731 89093 108363 110823 140079 164747 267279 314347 397331 406351 494241 513623 614057 793781 943041 980023 1191993 1219053 1480961 1514581 1540869 1842171 1914413 2381343 2940069 4442883 4543743 5743239 6754627 8731591 16290571 16660391 20263881 21058543 25176337 26194773 32545021 48871713 49981173 63175629 75529011 78490933 97635063 235472799 276939707 357995231 830819121 863400263 1073985693 1334345861 2590200789 4003037583 14677804471 44033413413