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30445665300 = 22325270947713
BaseRepresentation
bin11100010110101100…
…111111110000010100
32220120210220001020100
4130112230333300110
5444323042242200
621553032134100
72125320612411
oct342654776024
986523801210
1030445665300
1111a03869a66
125a98237330
132b42804a8b
14168b6d9108
15bd2d0cd00
hex716b3fc14

30445665300 has 108 divisors (see below), whose sum is σ = 95566847740. Its totient is φ = 8107223040.

The previous prime is 30445665293. The next prime is 30445665301. The reversal of 30445665300 is 356654403.

30445665300 is a `hidden beast` number, since 3 + 0 + 44 + 566 + 53 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9172275984 + 21273389316 = 95772^2 + 145854^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30445665301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 614244 + ... + 661956.

Almost surely, 230445665300 is an apocalyptic number.

30445665300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30445665300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47783423870).

30445665300 is an abundant number, since it is smaller than the sum of its proper divisors (65121182440).

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

30445665300 is a wasteful number, since it uses less digits than its factorization.

30445665300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48442 (or 48432 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 30445665300 in words is "thirty billion, four hundred forty-five million, six hundred sixty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 709 900 1418 2127 2836 3545 4254 6381 7090 8508 10635 12762 14180 17725 21270 25524 31905 35450 42540 47713 53175 63810 70900 95426 106350 127620 143139 159525 190852 212700 238565 286278 319050 429417 477130 572556 638100 715695 858834 954260 1192825 1431390 1717668 2147085 2385650 2862780 3578475 4294170 4771300 7156950 8588340 10735425 14313900 21470850 33828517 42941700 67657034 101485551 135314068 169142585 202971102 304456653 338285170 405942204 507427755 608913306 676570340 845712925 1014855510 1217826612 1522283265 1691425850 2029711020 2537138775 3044566530 3382851700 5074277550 6089133060 7611416325 10148555100 15222832650 30445665300