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20442424413420 = 22325317358261907
BaseRepresentation
bin1001010010111100111110…
…11100100000110011101100
32200101021110201001101010200
410221132133130200303230
510134412041122212140
6111251041540433500
74206626222340252
oct451363734406354
980337421041120
1020442424413420
116571646715129
122361a666a8890
13b5393505a489
145095c09a45d2
15256b4b011030
hex12979f720cec

20442424413420 has 72 divisors (see below), whose sum is σ = 62204298562224. Its totient is φ = 5434116590208.

The previous prime is 20442424413377. The next prime is 20442424413457. The reversal of 20442424413420 is 2431442424402.

20442424413420 is a `hidden beast` number, since 2 + 0 + 442 + 42 + 44 + 134 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179073894 + ... + 179188013.

It is an arithmetic number, because the mean of its divisors is an integer number (863948591142).

Almost surely, 220442424413420 is an apocalyptic number.

20442424413420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20442424413420 is an abundant number, since it is smaller than the sum of its proper divisors (41761874148804).

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

20442424413420 is a wasteful number, since it uses less digits than its factorization.

20442424413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358262239 (or 358262234 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 20442424413420 its reverse (2431442424402), we get a palindrome (22873866837822).

The spelling of 20442424413420 in words is "twenty trillion, four hundred forty-two billion, four hundred twenty-four million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 9510 11412 14265 19020 28530 57060 358261907 716523814 1074785721 1433047628 1791309535 2149571442 3224357163 3582619070 4299142884 5373928605 6448714326 7165238140 10747857210 12897428652 16121785815 21495714420 32243571630 64487143260 113569024519 227138049038 340707073557 454276098076 567845122595 681414147114 1022121220671 1135690245190 1362828294228 1703535367785 2044242441342 2271380490380 3407070735570 4088484882684 5110606103355 6814141471140 10221212206710 20442424413420