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140022303444441 = 3311471455567153
BaseRepresentation
bin11111110101100101111011…
…101010000100110111011001
3200100210000001002002220121000
4133311211323222010313121
5121323111134140210231
61213445205211135213
741331164132321325
oct3765457352046731
9610700032086530
10140022303444441
1140685141a14160
1213855316144509
13601907b3981c2
14268118949a985
15112c47c5a96e6
hex7f597ba84dd9

140022303444441 has 16 divisors (see below), whose sum is σ = 226298672233920. Its totient is φ = 84862002087360.

The previous prime is 140022303444383. The next prime is 140022303444521. The reversal of 140022303444441 is 144444303220041.

140022303444441 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 230 + 344 + 44 + 41 = 666.

It is not a de Polignac number, because 140022303444441 - 26 = 140022303444377 is a prime.

It is a super-4 number, since 4×1400223034444414 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 140022303444396 and 140022303444405.

It is not an unprimeable number, because it can be changed into a prime (140022303443441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235727783280 + ... + 235727783873.

It is an arithmetic number, because the mean of its divisors is an integer number (14143667014620).

Almost surely, 2140022303444441 is an apocalyptic number.

140022303444441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140022303444441 is a deficient number, since it is larger than the sum of its proper divisors (86276368789479).

140022303444441 is a wasteful number, since it uses less digits than its factorization.

140022303444441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471455567173 (or 471455567167 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 140022303444441 its reverse (144444303220041), we get a palindrome (284466606664482).

The spelling of 140022303444441 in words is "one hundred forty trillion, twenty-two billion, three hundred three million, four hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 471455567153 1414366701459 4243100104377 5186011238683 12729300313131 15558033716049 46674101148147 140022303444441