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20013340142440 = 23510915130398779
BaseRepresentation
bin1001000110011101110000…
…00001111010101101101000
32121212020221002021221211101
410203032320001322231220
510110344310034024230
6110322000155411144
74133626140246301
oct443167001725550
977766832257741
1020013340142440
116416678844547
1222b2877153ab4
13b22332c99b48
144d2917c497a8
1524a8d60c5aca
hex1233b807ab68

20013340142440 has 64 divisors (see below), whose sum is σ = 45744084144000. Its totient is φ = 7879363257600.

The previous prime is 20013340142437. The next prime is 20013340142461. The reversal of 20013340142440 is 4424104331002.

It is a junction number, because it is equal to n+sod(n) for n = 20013340142399 and 20013340142408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14541030 + ... + 15857749.

It is an arithmetic number, because the mean of its divisors is an integer number (714751314750).

Almost surely, 220013340142440 is an apocalyptic number.

20013340142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013340142440 is an abundant number, since it is smaller than the sum of its proper divisors (25730744001560).

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

20013340142440 is a wasteful number, since it uses less digits than its factorization.

20013340142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30399050 (or 30399046 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 20013340142440 its reverse (4424104331002), we get a palindrome (24437444473442).

The spelling of 20013340142440 in words is "twenty trillion, thirteen billion, three hundred forty million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 151 218 302 436 545 604 755 872 1090 1208 1510 2180 3020 4360 6040 16459 32918 65836 82295 131672 164590 329180 658360 30398779 60797558 121595116 151993895 243190232 303987790 607975580 1215951160 3313466911 4590215629 6626933822 9180431258 13253867644 16567334555 18360862516 22951078145 26507735288 33134669110 36721725032 45902156290 66269338220 91804312580 132538676440 183608625160 500333503561 1000667007122 2001334014244 2501667517805 4002668028488 5003335035610 10006670071220 20013340142440