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130201544014400 = 265281375965009
BaseRepresentation
bin11101100110101011101000…
…110001111011101001000000
3122002000010221110122000211202
4131212223220301323221000
5114031210230231430100
61140525432533400332
736265515431441255
oct3546535061735100
9562003843560752
10130201544014400
113853918a281291
1212729b217990a8
135785c50737441
142421b0735d42c
15100bc9335d7d5
hex766ae8c7ba40

130201544014400 has 42 divisors (see below), whose sum is σ = 320377174244370. Its totient is φ = 52080617605120.

The previous prime is 130201544014391. The next prime is 130201544014403. The reversal of 130201544014400 is 4410445102031.

It can be written as a sum of positive squares in 3 ways, for example, as 37531502679616 + 92670041334784 = 6126296^2 + 9626528^2 .

It is not an unprimeable number, because it can be changed into a prime (130201544014403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40687980905 + ... + 40687984104.

Almost surely, 2130201544014400 is an apocalyptic number.

130201544014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130201544014400 is an abundant number, since it is smaller than the sum of its proper divisors (190175630229970).

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

130201544014400 is an equidigital number, since it uses as much as digits as its factorization.

130201544014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81375965031 (or 81375965016 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 130201544014400 its reverse (4410445102031), we get a palindrome (134611989116431).

The spelling of 130201544014400 in words is "one hundred thirty trillion, two hundred one billion, five hundred forty-four million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 81375965009 162751930018 325503860036 406879825045 651007720072 813759650090 1302015440144 1627519300180 2034399125225 2604030880288 3255038600360 4068798250450 5208061760576 6510077200720 8137596500900 13020154401440 16275193001800 26040308802880 32550386003600 65100772007200 130201544014400