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300140412132 = 2231153145129567
BaseRepresentation
bin1000101111000011100…
…00110011110011100100
31001200201022010200222110
410113201300303303210
514404141421142012
6345514350401020
730453521260221
oct4274160636344
91050638120873
10300140412132
1110631a48aa90
124a204500170
13223c2c51702
1410753a52948
157c19b9773c
hex45e1c33ce4

300140412132 has 96 divisors (see below), whose sum is σ = 778971561984. Its totient is φ = 89171056000.

The previous prime is 300140412119. The next prime is 300140412157. The reversal of 300140412132 is 231214041003.

It is a junction number, because it is equal to n+sod(n) for n = 300140412099 and 300140412108.

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 31 ways as a sum of consecutive naturals, for example, 10136413 + ... + 10165979.

It is an arithmetic number, because the mean of its divisors is an integer number (8114287104).

Almost surely, 2300140412132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300140412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389485780992).

300140412132 is an abundant number, since it is smaller than the sum of its proper divisors (478831149852).

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

300140412132 is a wasteful number, since it uses less digits than its factorization.

300140412132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31089 (or 31087 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 300140412132 its reverse (231214041003), we get a palindrome (531354453135).

The spelling of 300140412132 in words is "three hundred billion, one hundred forty million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1451 1749 2332 2902 3498 4353 5804 6996 8706 15961 17412 29567 31922 47883 59134 63844 76903 88701 95766 118268 153806 177402 191532 230709 307612 325237 354804 461418 650474 845933 922836 975711 1300948 1567051 1691866 1951422 2537799 3134102 3383732 3902844 4701153 5075598 6268204 9402306 10151196 17237561 18804612 34475122 42901717 51712683 68950244 85803434 103425366 128705151 171606868 206850732 257410302 471918887 514820604 943837774 1415756661 1887675548 2273791001 2831513322 4547582002 5663026644 6821373003 9095164004 13642746006 25011701011 27285492012 50023402022 75035103033 100046804044 150070206066 300140412132