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20340134441442 = 2341078811331923
BaseRepresentation
bin1001001111111110011100…
…11111001111000111100010
32200000111102221102101220000
410213333032133033013202
510131223043404111232
6111132043451400430
74166345331044514
oct447771637170742
980014387371800
1020340134441442
116532225698202
122346079a53116
13b470b2ca713a
14504679765bb4
15254160c3627c
hex127fce7cf1e2

20340134441442 has 80 divisors (see below), whose sum is σ = 46055172173472. Its totient is φ = 6709050944640.

The previous prime is 20340134441383. The next prime is 20340134441467. The reversal of 20340134441442 is 24414443104302.

20340134441442 is a `hidden beast` number, since 2 + 0 + 3 + 40 + 134 + 4 + 41 + 442 = 666.

It is a super-2 number, since 2×203401344414422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20340134441397 and 20340134441406.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14605293 + ... + 15937215.

Almost surely, 220340134441442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340134441442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027586086736).

20340134441442 is an abundant number, since it is smaller than the sum of its proper divisors (25715037732030).

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

20340134441442 is a wasteful number, since it uses less digits than its factorization.

20340134441442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332925 (or 1332916 counting only the distinct ones).

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

Adding to 20340134441442 its reverse (24414443104302), we get a palindrome (44754577545744).

The spelling of 20340134441442 in words is "twenty trillion, three hundred forty billion, one hundred thirty-four million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 881 963 1762 1926 2643 2889 5286 5778 7929 8667 15858 17334 23787 47574 71361 94267 142722 188534 282801 565602 848403 1331923 1696806 2545209 2663846 3995769 5090418 7635627 7991538 11987307 15271254 23974614 35961921 71923842 107885763 142515761 215771526 285031522 427547283 855094566 1173424163 1282641849 2346848326 2565283698 3520272489 3847925547 7040544978 7695851094 10560817467 11543776641 21121634934 23087553282 31682452401 63364904802 95047357203 125556385441 190094714406 251112770882 376669156323 753338312646 1130007468969 2260014937938 3390022406907 6780044813814 10170067220721 20340134441442