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20134413306 = 23272297111087
BaseRepresentation
bin10010110000000110…
…101100001111111010
31220222012110011122100
4102300012230033322
5312213402211211
613125530204230
71311643455300
oct226006541772
956865404570
1020134413306
1185a23957a7
123a9ab83676
131b8b4aa137
14d900b4270
157cc96c156
hex4b01ac3fa

20134413306 has 144 divisors (see below), whose sum is σ = 53241027840. Its totient is φ = 5475597120.

The previous prime is 20134413281. The next prime is 20134413311. The reversal of 20134413306 is 60331443102.

20134413306 is a `hidden beast` number, since 2 + 0 + 1 + 344 + 13 + 306 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20134413306.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1810495 + ... + 1821581.

It is an arithmetic number, because the mean of its divisors is an integer number (369729360).

Almost surely, 220134413306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20134413306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26620513920).

20134413306 is an abundant number, since it is smaller than the sum of its proper divisors (33106614534).

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

20134413306 is a wasteful number, since it uses less digits than its factorization.

20134413306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 20134413306 its reverse (60331443102), we get a palindrome (80465856408).

The spelling of 20134413306 in words is "twenty billion, one hundred thirty-four million, four hundred thirteen thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 71 87 98 126 142 147 174 203 213 261 294 406 426 441 497 522 609 639 882 994 1218 1278 1421 1491 1827 2059 2842 2982 3479 3654 4118 4263 4473 6177 6958 8526 8946 10437 11087 12354 12789 14413 18531 20874 22174 25578 28826 31311 33261 37062 43239 62622 66522 77609 86478 99783 100891 129717 155218 199566 201782 232827 259434 302673 321523 465654 543263 605346 643046 698481 787177 908019 964569 1086526 1396962 1574354 1629789 1816038 1929138 2250661 2361531 2893707 3259578 4501322 4723062 4889367 5510239 5787414 6751983 7084593 9778734 11020478 13503966 14169186 15754627 16530717 20255949 22828133 31509254 33061434 38571673 40511898 45656266 47263881 49592151 68484399 77143346 94527762 99184302 115715019 136968798 141791643 159796931 205453197 231430038 283583286 319593862 347145057 410906394 479390793 694290114 958781586 1118578517 1438172379 2237157034 2876344758 3355735551 6711471102 10067206653 20134413306