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345602445131424 = 25313276925036163
BaseRepresentation
bin100111010010100101101011…
…0111110011011111010100000
31200022200021022121210022211010
41032211023112332123322200
5330244322301423201144
63223011323235020520
7132536644524450105
oct11645132676337240
91608607277708733
10345602445131424
11a01351a0492018
123291809b73a740
1311aac22b14c060
14614b367588aac
1529e4da56085b9
hex13a52d6f9bea0

345602445131424 has 48 divisors (see below), whose sum is σ = 976991527586592. Its totient is φ = 106339213886208.

The previous prime is 345602445131413. The next prime is 345602445131429. The reversal of 345602445131424 is 424131544206543.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (345602445131429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138462516834 + ... + 138462519329.

It is an arithmetic number, because the mean of its divisors is an integer number (20353990158054).

Almost surely, 2345602445131424 is an apocalyptic number.

It is an amenable number.

345602445131424 is an abundant number, since it is smaller than the sum of its proper divisors (631389082455168).

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

345602445131424 is a wasteful number, since it uses less digits than its factorization.

345602445131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276925036189 (or 276925036181 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

Adding to 345602445131424 its reverse (424131544206543), we get a palindrome (769733989337967).

The spelling of 345602445131424 in words is "three hundred forty-five trillion, six hundred two billion, four hundred forty-five million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 276925036163 553850072326 830775108489 1107700144652 1661550216978 2215400289304 3323100433956 3600025470119 4430800578608 6646200867912 7200050940238 8861601157216 10800076410357 13292401735824 14400101880476 21600152820714 26584803471648 28800203760952 43200305641428 57600407521904 86400611282856 115200815043808 172801222565712 345602445131424