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20140122012140 = 225133731567132529
BaseRepresentation
bin1001001010001001111001…
…10100010111100111101100
32122022101011201202020121002
410211010330310113213230
510114433432213342030
6110500124435055432
74146034666332464
oct445047464274754
978271151666532
1020140122012140
116465417907759
12231335a141578
13b31289225760
144d8b03b6aba4
1524dd56659245
hex12513cd179ec

20140122012140 has 96 divisors (see below), whose sum is σ = 45699261780480. Its totient is φ = 7411627339776.

The previous prime is 20140122012139. The next prime is 20140122012203. The reversal of 20140122012140 is 4121022104102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151901396 + ... + 152033924.

It is an arithmetic number, because the mean of its divisors is an integer number (476033976880).

Almost surely, 220140122012140 is an apocalyptic number.

20140122012140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20140122012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22849630890240).

20140122012140 is an abundant number, since it is smaller than the sum of its proper divisors (25559139768340).

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

20140122012140 is a wasteful number, since it uses less digits than its factorization.

20140122012140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134491 (or 134489 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20140122012140 its reverse (4121022104102), we get a palindrome (24261144116242).

The spelling of 20140122012140 in words is "twenty trillion, one hundred forty billion, one hundred twenty-two million, twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 373 746 1492 1567 1865 3134 3730 4849 6268 7460 7835 9698 15670 19396 20371 24245 31340 40742 48490 81484 96980 101855 132529 203710 265058 407420 530116 584491 662645 1168982 1325290 1722877 2337964 2650580 2922455 3445754 5844910 6891508 7598383 8614385 11689820 15196766 17228770 30393532 34457540 37991915 49433317 75983830 98866634 151967660 197733268 207672943 247166585 415345886 494333170 642633121 830691772 988666340 1038364715 1285266242 2076729430 2570532484 2699748259 3213165605 4153458860 5399496518 6426331210 10798993036 12852662420 13498741295 26997482590 53994965180 77462007739 154924015478 309848030956 387310038695 774620077390 1007006100607 1549240154780 2014012201214 4028024402428 5035030503035 10070061006070 20140122012140