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140022323424441 = 39103281245789
BaseRepresentation
bin11111110101100101111100…
…110110010010110010111001
3200100210000002110201000000000
4133311211330312102302321
5121323111204244040231
61213445211203303213
741331164464205133
oct3765457466226271
9610700073630000
10140022323424441
1140685152220457
121385532097ab09
1360190825724a3
14268118bdbc053
15112c47e2046e6
hex7f597cd92cb9

140022323424441 has 80 divisors (see below), whose sum is σ = 212824613738880. Its totient is φ = 92112572684160.

The previous prime is 140022323424307. The next prime is 140022323424463. The reversal of 140022323424441 is 144424323220041.

140022323424441 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 232 + 342 + 44 + 41 = 666.

It is not a de Polignac number, because 140022323424441 - 225 = 140022289870009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 140022323424396 and 140022323424405.

It is not an unprimeable number, because it can be changed into a prime (140022323425441) 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 79 ways as a sum of consecutive naturals, for example, 569562175 + ... + 569807963.

It is an arithmetic number, because the mean of its divisors is an integer number (2660307671736).

Almost surely, 2140022323424441 is an apocalyptic number.

It is an amenable number.

140022323424441 is a deficient number, since it is larger than the sum of its proper divisors (72802290314439).

140022323424441 is an frugal number, since it uses more digits than its factorization.

140022323424441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246200 (or 246176 counting only the distinct ones).

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

Adding to 140022323424441 its reverse (144424323220041), we get a palindrome (284446646644482).

The spelling of 140022323424441 in words is "one hundred forty trillion, twenty-two billion, three hundred twenty-three million, four hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 103 243 281 309 729 843 927 2187 2529 2781 6561 7587 8343 19683 22761 25029 28943 68283 75087 86829 204849 225261 245789 260487 614547 675783 737367 781461 1843641 2027349 2212101 2344383 5530923 6636303 7033149 19908909 21099447 25316267 59726727 63298341 69066709 75948801 179180181 189895023 207200127 227846403 537540543 569685069 621600381 683539209 1612621629 1864801143 2050617627 4837864887 5594403429 6151852881 7113871027 16783210287 18455558643 21341613081 50349630861 55366675929 64024839243 151048892583 166100027787 192074517729 453146677749 498300083361 576223553187 1359440033247 1728670659561 5186011978683 15558035936049 46674107808147 140022323424441