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20140242123015 = 335797721814151
BaseRepresentation
bin1001001010001010000111…
…11110100011100100000111
32122022101111002202111202000
410211011003332203210013
510114434203440414030
6110500144405320343
74146040655265120
oct445050376434407
978271432674660
1020140242123015
116465479694843
1223133924060b3
13b312a808ac91
144d8b15ab5047
1524dd61e82860
hex125143fa3907

20140242123015 has 64 divisors (see below), whose sum is σ = 40961742059520. Its totient is φ = 9197543692800.

The previous prime is 20140242122969. The next prime is 20140242123019. The reversal of 20140242123015 is 51032124204102.

20140242123015 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 0 + 2 + 421 + 230 + 1 + 5 = 666.

It is not a de Polignac number, because 20140242123015 - 29 = 20140242122503 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20140242123015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20140242123019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9983811 + ... + 11830340.

It is an arithmetic number, because the mean of its divisors is an integer number (640027219680).

Almost surely, 220140242123015 is an apocalyptic number.

20140242123015 is an abundant number, since it is smaller than the sum of its proper divisors (20821499936505).

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

20140242123015 is a wasteful number, since it uses less digits than its factorization.

20140242123015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21815149 (or 21815143 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20140242123015 its reverse (51032124204102), we get a palindrome (71172366327117).

The spelling of 20140242123015 in words is "twenty trillion, one hundred forty billion, two hundred forty-two million, one hundred twenty-three thousand, fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 977 2931 4885 6839 8793 14655 20517 26379 34195 43965 61551 102585 131895 184653 307755 923265 21814151 65442453 109070755 152699057 196327359 327212265 458097171 588982077 763495285 981636795 1374291513 2290485855 2944910385 4122874539 6871457565 20614372695 21312425527 63937276581 106562127635 149186978689 191811829743 319686382905 447560936067 575435489229 745934893445 959059148715 1342682808201 2237804680335 2877177446145 4028048424603 6713414041005 20140242123015