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20413142313060 = 22357367132432479
BaseRepresentation
bin1001010010000110011100…
…00110001010100001100100
32200021110212222121112221010
410221003032012022201210
510133422103413004220
6111225400151422220
74204541460523260
oct451031606124144
980243788545833
1020413142313060
11656018a736792
122358254084970
13b50c49630b83
14508003a330a0
15255ed54431e0
hex1290ce18a864

20413142313060 has 96 divisors (see below), whose sum is σ = 65500045148160. Its totient is φ = 4653147547008.

The previous prime is 20413142313023. The next prime is 20413142313061. The reversal of 20413142313060 is 6031324131402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20413142313061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66062100 + ... + 66370379.

It is an arithmetic number, because the mean of its divisors is an integer number (682292136960).

Almost surely, 220413142313060 is an apocalyptic number.

20413142313060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413142313060 is an abundant number, since it is smaller than the sum of its proper divisors (45086902835100).

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

20413142313060 is a wasteful number, since it uses less digits than its factorization.

20413142313060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132432865 (or 132432863 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 20413142313060 its reverse (6031324131402), we get a palindrome (26444466444462).

The spelling of 20413142313060 in words is "twenty trillion, four hundred thirteen billion, one hundred forty-two million, three hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 367 420 734 1101 1468 1835 2202 2569 3670 4404 5138 5505 7340 7707 10276 11010 12845 15414 22020 25690 30828 38535 51380 77070 154140 132432479 264864958 397297437 529729916 662162395 794594874 927027353 1324324790 1589189748 1854054706 1986487185 2648649580 2781082059 3708109412 3972974370 4635136765 5562164118 7945948740 9270273530 11124328236 13905410295 18540547060 27810820590 48602719793 55621641180 97205439586 145808159379 194410879172 243013598965 291616318758 340219038551 486027197930 583232637516 680438077102 729040796895 972054395860 1020657115653 1360876154204 1458081593790 1701095192755 2041314231306 2916163187580 3402190385510 4082628462612 5103285578265 6804380771020 10206571156530 20413142313060