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30314236806 = 23272127277977
BaseRepresentation
bin11100001110110111…
…101000101110000110
32220020122120210020100
4130032313220232012
5444040421034211
621532015144530
72122133522100
oct341667505606
986218523210
1030314236806
1111946661877
125a60215146
132b21509039
141678086570
15bc64eb156
hex70ede8b86

30314236806 has 144 divisors (see below), whose sum is σ = 77362960896. Its totient is φ = 8553226752.

The previous prime is 30314236769. The next prime is 30314236889. The reversal of 30314236806 is 60863241303.

30314236806 is a `hidden beast` number, since 30 + 314 + 236 + 80 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31027390 + ... + 31028366.

It is an arithmetic number, because the mean of its divisors is an integer number (537242784).

Almost surely, 230314236806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30314236806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38681480448).

30314236806 is an abundant number, since it is smaller than the sum of its proper divisors (47048724090).

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

30314236806 is a wasteful number, since it uses less digits than its factorization.

30314236806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 30314236806 in words is "thirty billion, three hundred fourteen million, two hundred thirty-six thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 127 147 254 277 294 381 441 554 762 831 882 889 977 1143 1662 1778 1939 1954 2286 2493 2667 2931 3878 4986 5334 5817 5862 6223 6839 8001 8793 11634 12446 13573 13678 16002 17451 17586 18669 20517 27146 34902 35179 37338 40719 41034 47873 56007 61551 70358 81438 95746 105537 112014 122157 123102 124079 143619 211074 244314 246253 248158 270629 287238 316611 372237 430857 492506 541258 633222 738759 744474 811887 861714 868553 1116711 1477518 1623774 1723771 1737106 1894403 2216277 2233422 2435661 2605659 3447542 3788806 4432554 4871322 5171313 5211318 5683209 6079871 7816977 10342626 11366418 12159742 13260821 15513939 15633954 17049627 18239613 26521642 31027878 34099254 34369883 36479226 39782463 54718839 68739766 79564926 103109649 109437678 119347389 206219298 238694778 240589181 309328947 481178362 618657894 721767543 1443535086 1684124267 2165302629 3368248534 4330605258 5052372801 10104745602 15157118403 30314236806