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1441334331441 = 32478960163703
BaseRepresentation
bin10100111110010110001…
…110001000100000110001
312002210100001211101121100
4110332112032020200301
5142103323042101231
63022050112515013
7206063415446664
oct24762616104061
95083301741540
101441334331441
115062a2722294
121b340bb4ba69
13a5bc0254a64
144da920b36db
152775bd691e6
hex14f96388831

1441334331441 has 48 divisors (see below), whose sum is σ = 2153725217280. Its totient is φ = 928316505600.

The previous prime is 1441334331433. The next prime is 1441334331457.

1441334331441 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 334 + 3 + 314 + 4 + 1 = 666.

1441334331441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1441334331441 - 23 = 1441334331433 is a prime.

It is a super-2 number, since 2×14413343314412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1441334331396 and 1441334331405.

It is not an unprimeable number, because it can be changed into a prime (1441334331421) 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, 22593996 + ... + 22657698.

It is an arithmetic number, because the mean of its divisors is an integer number (44869275360).

Almost surely, 21441334331441 is an apocalyptic number.

It is an amenable number.

1441334331441 is a deficient number, since it is larger than the sum of its proper divisors (712390885839).

1441334331441 is a wasteful number, since it uses less digits than its factorization.

1441334331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64446 (or 64443 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 1441334331441 in words is "one trillion, four hundred forty-one billion, three hundred thirty-four million, three hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 9 47 89 141 267 423 601 801 1803 4183 5409 12549 28247 37647 53489 63703 84741 160467 191109 254223 481401 573327 2513983 2994041 5669567 7541949 8982123 17008701 22625847 26946369 38285503 51026103 114856509 266469649 344569527 799408947 1799418641 2398226841 3407409767 5398255923 10222229301 16194767769 30666687903 160148259049 480444777147 1441334331441