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1444377110445 = 335823106912161
BaseRepresentation
bin10101000001001011100…
…101011010011110101101
312010002012010100120201000
4111001023211122132231
5142131041020013240
63023312050110513
7206232003603543
oct25011345323655
95102163316630
101444377110445
11507614251185
121b3b1ab7b439
13a62867669c9
144dca0253d93
152788905d430
hex1504b95a7ad

1444377110445 has 64 divisors (see below), whose sum is σ = 2573518118400. Its totient is φ = 768615505920.

The previous prime is 1444377110443. The next prime is 1444377110447. The reversal of 1444377110445 is 5440117734441.

1444377110445 is a `hidden beast` number, since 1 + 4 + 4 + 437 + 71 + 104 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (1444377110443) and next prime (1444377110447).

It is not a de Polignac number, because 1444377110445 - 21 = 1444377110443 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1444377110445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444377110443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118765165 + ... + 118777325.

It is an arithmetic number, because the mean of its divisors is an integer number (40211220600).

Almost surely, 21444377110445 is an apocalyptic number.

1444377110445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1444377110445 is a deficient number, since it is larger than the sum of its proper divisors (1129141007955).

1444377110445 is a wasteful number, since it uses less digits than its factorization.

1444377110445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14067 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 1444377110445 in words is "one trillion, four hundred forty-four billion, three hundred seventy-seven million, one hundred ten thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 823 1069 2469 3207 4115 5345 7407 9621 12161 12345 16035 22221 28863 36483 37035 48105 60805 109449 111105 144315 182415 328347 547245 879787 1641735 2639361 4398935 7918083 10008503 13000109 13196805 23754249 30025509 39000327 39590415 50042515 65000545 90076527 117000981 118771245 150127545 195001635 270229581 351002943 450382635 585004905 1351147905 1755014715 10699089707 32097269121 53495448535 96291807363 160486345605 288875422089 481459036815 1444377110445