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144441212401000 = 2353144441212401
BaseRepresentation
bin100000110101111001010111…
…001001111111010101101000
3200221102110000102220111112101
4200311321113021333111220
5122413011100333313000
61231111213230023144
742265350615601624
oct4065712711772550
9627373012814471
10144441212401000
11420291a090a049
1214249811947ab4
136279995143858
142794dc5dd8184
1511a73aa011e6a
hex835e5727f568

144441212401000 has 32 divisors (see below), whose sum is σ = 337992437020680. Its totient is φ = 57776484960000.

The previous prime is 144441212400917. The next prime is 144441212401067. The reversal of 144441212401000 is 104212144441.

It can be written as a sum of positive squares in 4 ways, for example, as 89402055130756 + 55039157270244 = 9455266^2 + 7418838^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144441212401000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72220605201 + ... + 72220607200.

Almost surely, 2144441212401000 is an apocalyptic number.

144441212401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441212401000 is an abundant number, since it is smaller than the sum of its proper divisors (193551224619680).

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

144441212401000 is a wasteful number, since it uses less digits than its factorization.

144441212401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144441212422 (or 144441212408 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 144441212401000 its reverse (104212144441), we get a palindrome (144545424545441).

The spelling of 144441212401000 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twelve million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 144441212401 288882424802 577764849604 722206062005 1155529699208 1444412124010 2888824248020 3611030310025 5777648496040 7222060620050 14444121240100 18055151550125 28888242480200 36110303100250 72220606200500 144441212401000