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130434400121344 = 291123159517067
BaseRepresentation
bin11101101010000100100000…
…000101011111001000000000
3122002211101222121110212212221
4131222010200011133020000
5114044014122412340334
61141224423004100424
736321401012623444
oct3552044005371000
9562741877425787
10130434400121344
1138618a114a5980
1212767088834714
1357a1baca618c7
14242d0b6d16824
151012d7102a8b4
hex76a12015f200

130434400121344 has 40 divisors (see below), whose sum is σ = 284306231526768. Its totient is φ = 59288363688960.

The previous prime is 130434400121317. The next prime is 130434400121353. The reversal of 130434400121344 is 443121004434031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11579752902 + ... + 11579764165.

Almost surely, 2130434400121344 is an apocalyptic number.

It is an amenable number.

130434400121344 is an abundant number, since it is smaller than the sum of its proper divisors (153871831405424).

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

130434400121344 is an equidigital number, since it uses as much as digits as its factorization.

130434400121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23159517096 (or 23159517080 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 130434400121344 its reverse (443121004434031), we get a palindrome (573555404555375).

The spelling of 130434400121344 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 23159517067 46319034134 92638068268 185276136536 254754687737 370552273072 509509375474 741104546144 1019018750948 1482209092288 2038037501896 2964418184576 4076075003792 5928836369152 8152150007584 11857672738304 16304300015168 32608600030336 65217200060672 130434400121344