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309329994078 = 2327210325713249
BaseRepresentation
bin1001000000001011000…
…00010010000101011110
31002120102201221211112100
410200011200102011132
520032001434302303
6354034303145530
731230325365300
oct4400540220536
91076381854470
10309329994078
1110a205798a06
124bb49ba52a6
1323228a7c071
1410d862d7970
1580a68218a3
hex480581215e

309329994078 has 144 divisors (see below), whose sum is σ = 790329852000. Its totient is φ = 87174807552.

The previous prime is 309329994073. The next prime is 309329994089. The reversal of 309329994078 is 870499923903.

309329994078 is a `hidden beast` number, since 30 + 93 + 29 + 99 + 407 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309329994073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23340798 + ... + 23354046.

It is an arithmetic number, because the mean of its divisors is an integer number (5488401750).

Almost surely, 2309329994078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309329994078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395164926000).

309329994078 is an abundant number, since it is smaller than the sum of its proper divisors (480999857922).

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

309329994078 is a wasteful number, since it uses less digits than its factorization.

309329994078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13631 (or 13621 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 309329994078 in words is "three hundred nine billion, three hundred twenty-nine million, nine hundred ninety-four thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 103 126 147 206 257 294 309 441 514 618 721 771 882 927 1442 1542 1799 1854 2163 2313 3598 4326 4626 5047 5397 6489 10094 10794 12593 12978 13249 15141 16191 25186 26471 26498 30282 32382 37779 39747 45423 52942 75558 79413 79494 90846 92743 113337 119241 158826 185297 185486 226674 238239 238482 278229 370594 476478 555891 556458 649201 834687 1111782 1297079 1298402 1364647 1667673 1669374 1947603 2594158 2729294 3335346 3404993 3891237 3895206 4093941 5842809 6809986 7782474 8187882 9552529 10214979 11673711 11685618 12281823 19105058 20429958 23347422 23834951 24563646 28657587 30644937 47669902 57315174 61289874 66867703 71504853 85972761 133735406 143009706 166844657 171945522 200603109 214514559 333689314 350714279 401206218 429029118 500533971 601809327 701428558 1001067942 1052142837 1203618654 1501601913 2104285674 2454999953 3003203826 3156428511 4909999906 6312857022 7364999859 14729999718 17184999671 22094999577 34369999342 44189999154 51554999013 103109998026 154664997039 309329994078