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1331044431444 = 22327131921384301
BaseRepresentation
bin10011010111101000011…
…011100011011001010100
311201020122202220222012100
4103113220123203121110
5133301434333301234
62455250125322100
7165110343664020
oct23275033433124
94636582828170
101331044431444
11473546977002
12195b70106330
13986949852c0
14485cc5c9380
15249545aa399
hex135e86e3654

1331044431444 has 144 divisors (see below), whose sum is σ = 4358976119680. Its totient is φ = 332568633600.

The previous prime is 1331044431443. The next prime is 1331044431469. The reversal of 1331044431444 is 4441344401331.

1331044431444 is a `hidden beast` number, since 1 + 331 + 0 + 4 + 4 + 4 + 314 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1331044431399 and 1331044431408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331044431443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10629907 + ... + 10754394.

Almost surely, 21331044431444 is an apocalyptic number.

1331044431444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1331044431444 is an abundant number, since it is smaller than the sum of its proper divisors (3027931688236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331044431444 is a wasteful number, since it uses less digits than its factorization.

1331044431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21384350 (or 21384345 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 1331044431444 its reverse (4441344401331), we get a palindrome (5772388832775).

The spelling of 1331044431444 in words is "one trillion, three hundred thirty-one billion, forty-four million, four hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2394 2964 3276 3458 4446 4788 5187 6916 8892 10374 15561 20748 31122 62244 21384301 42768602 64152903 85537204 128305806 149690107 192458709 256611612 277995913 299380214 384917418 406301719 449070321 555991826 598760428 769834836 812603438 833987739 898140642 1111983652 1218905157 1347210963 1625206876 1667975478 1796281284 1945971391 2437810314 2501963217 2694421926 2844112033 3335950956 3656715471 3891942782 4875620628 5003926434 5281922347 5388843852 5688224066 5837914173 7313430942 7783885564 8532336099 10007852868 10563844694 11376448132 11675828346 14626861884 15845767041 17064672198 17513742519 21127689388 23351656692 25597008297 31691534082 34129344396 35027485038 36973456429 47537301123 51194016594 63383068164 70054970076 73946912858 95074602246 102388033188 110920369287 147893825716 190149204492 221840738574 332761107861 443681477148 665522215722 1331044431444