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144200010401 = 1716095271817
BaseRepresentation
bin1000011001001011111…
…1011000101010100001
3111210012112202111212222
42012102333120222201
54330310200313101
6150124454400425
713263260602406
oct2062277305241
9453175674788
10144200010401
1156178168117
1223b44360115
13107a0a72655
146d9d3682ad
153b3e80401b
hex2192fd8aa1

144200010401 has 8 divisors (see below), whose sum is σ = 152777285640. Its totient is φ = 135633282048.

The previous prime is 144200010397. The next prime is 144200010413. The reversal of 144200010401 is 104010002441.

It can be written as a sum of positive squares in 4 ways, for example, as 29956686400 + 114243324001 = 173080^2 + 337999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144200010401 - 22 = 144200010397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144200010401.

It is not an unprimeable number, because it can be changed into a prime (144200010301) 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, 2608556 + ... + 2663261.

It is an arithmetic number, because the mean of its divisors is an integer number (19097160705).

Almost surely, 2144200010401 is an apocalyptic number.

It is an amenable number.

144200010401 is a deficient number, since it is larger than the sum of its proper divisors (8577275239).

144200010401 is a wasteful number, since it uses less digits than its factorization.

144200010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273443.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 144200010401 its reverse (104010002441), we get a palindrome (248210012842).

The spelling of 144200010401 in words is "one hundred forty-four billion, two hundred million, ten thousand, four hundred one".

Divisors: 1 17 1609 27353 5271817 89620889 8482353553 144200010401