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13430303432 = 23713139132721
BaseRepresentation
bin11001000001000001…
…00010101011001000
31021122222111002210122
430200200202223020
5210001124202212
610100402002412
7653546460410
oct144040425310
937588432718
1013430303432
115772068827
122729946408
131360593410
1491597b640
155390ee272
hex320822ac8

13430303432 has 64 divisors (see below), whose sum is σ = 31216214400. Its totient is φ = 5274823680.

The previous prime is 13430303429. The next prime is 13430303479. The reversal of 13430303432 is 23430303431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34832 + ... + 167552.

It is an arithmetic number, because the mean of its divisors is an integer number (487753350).

Almost surely, 213430303432 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 13430303432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15608107200).

13430303432 is an abundant number, since it is smaller than the sum of its proper divisors (17785910968).

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

13430303432 is a wasteful number, since it uses less digits than its factorization.

13430303432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132886 (or 132882 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 13430303432 its reverse (23430303431), we get a palindrome (36860606863).

Subtracting 13430303432 from its reverse (23430303431), we obtain a palindrome (9999999999).

The spelling of 13430303432 in words is "thirteen billion, four hundred thirty million, three hundred three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 139 182 278 364 556 728 973 1112 1807 1946 3614 3892 7228 7784 12649 14456 25298 50596 101192 132721 265442 530884 929047 1061768 1725373 1858094 3450746 3716188 6901492 7432376 12077611 13802984 18448219 24155222 36896438 48310444 73792876 96620888 129137533 147585752 239826847 258275066 479653694 516550132 959307388 1033100264 1678787929 1918614776 3357575858 6715151716 13430303432