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1441120324032 = 26333172630857
BaseRepresentation
bin10100111110001001011…
…101110000100111000000
312002202210011010200122000
4110332021131300213000
5142102403300332112
63022012545544000
7206055206432454
oct24761135604700
95082704120560
101441120324032
115061a2942364
121b3370345000
13a5b87b04b5c
144da718c6664
15277481947dc
hex14f897709c0

1441120324032 has 112 divisors (see below), whose sum is σ = 4249993247520. Its totient is φ = 478857885696.

The previous prime is 1441120324031. The next prime is 1441120324051. The reversal of 1441120324032 is 2304230211441.

1441120324032 is a `hidden beast` number, since 1 + 4 + 411 + 2 + 0 + 3 + 240 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1441120323987 and 1441120324005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441120324031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767653 + ... + 1863204.

Almost surely, 21441120324032 is an apocalyptic number.

1441120324032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1441120324032 is an abundant number, since it is smaller than the sum of its proper divisors (2808872923488).

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

1441120324032 is a wasteful number, since it uses less digits than its factorization.

1441120324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631195 (or 2631179 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1441120324032 its reverse (2304230211441), we get a palindrome (3745350535473).

The spelling of 1441120324032 in words is "one trillion, four hundred forty-one billion, one hundred twenty million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 317 432 576 634 864 951 1268 1728 1902 2536 2853 3804 5072 5706 7608 8559 10144 11412 15216 17118 20288 22824 30432 34236 45648 60864 68472 91296 136944 182592 273888 547776 2630857 5261714 7892571 10523428 15785142 21046856 23677713 31570284 42093712 47355426 63140568 71033139 84187424 94710852 126281136 142066278 168374848 189421704 252562272 284132556 378843408 505124544 568265112 757686816 833981669 1136530224 1515373632 1667963338 2273060448 2501945007 3335926676 4546120896 5003890014 6671853352 7505835021 10007780028 13343706704 15011670042 20015560056 22517505063 26687413408 30023340084 40031120112 45035010126 53374826816 60046680168 80062240224 90070020252 120093360336 160124480448 180140040504 240186720672 360280081008 480373441344 720560162016 1441120324032