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111445444034001 = 327111025315684769
BaseRepresentation
bin11001010101101111101010…
…000110100111110111010001
3112121121002011121111200210100
4121111233222012213313101
5104101410232133042001
61033005155153523013
732321444665215630
oct3125575206476721
9477532147450710
10111445444034001
1132567824864880
12105baa59873469
134a2534caa777c
141d73db9b63517
15cd3e42271586
hex655bea1a7dd1

111445444034001 has 48 divisors (see below), whose sum is σ = 200717876211840. Its totient is φ = 57888086952960.

The previous prime is 111445444033991. The next prime is 111445444034009. The reversal of 111445444034001 is 100430444544111.

111445444034001 is a `hidden beast` number, since 1 + 1 + 1 + 44 + 544 + 40 + 34 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 111445444034001 - 217 = 111445443902929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111445444034009) 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, 737056 + ... + 14947713.

It is an arithmetic number, because the mean of its divisors is an integer number (4181622421080).

Almost surely, 2111445444034001 is an apocalyptic number.

111445444034001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111445444034001 is a deficient number, since it is larger than the sum of its proper divisors (89272432177839).

111445444034001 is a wasteful number, since it uses less digits than its factorization.

111445444034001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15695046 (or 15695043 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 111445444034001 its reverse (100430444544111), we get a palindrome (211875888578112).

The spelling of 111445444034001 in words is "one hundred eleven trillion, four hundred forty-five billion, four hundred forty-four million, thirty-four thousand, one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 10253 30759 71771 92277 112783 215313 338349 645939 789481 1015047 2368443 7105329 15684769 47054307 109793383 141162921 172532459 329380149 517597377 988140447 1207727213 1552792131 3623181639 10869544917 160815936557 482447809671 1125711555899 1447343429013 1768975302127 3377134667697 5306925906381 10131404003091 12382827114889 15920777719143 37148481344667 111445444034001