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1444020403401 = 331032272287423
BaseRepresentation
bin10101000000110110010…
…100101011110011001001
312010001021021010222122000
4111000312110223303021
5142124323210402101
63023212424421213
7206220112623402
oct25006624536311
95101237128560
101444020403401
11507450965974
121b3a3b617809
13a622a8a2a54
144dc68b1c9a9
1527867a9c486
hex1503652bcc9

1444020403401 has 32 divisors (see below), whose sum is σ = 2169575915520. Its totient is φ = 949133734992.

The previous prime is 1444020403387. The next prime is 1444020403403. The reversal of 1444020403401 is 1043040204441.

1444020403401 is a `hidden beast` number, since 14 + 4 + 40 + 204 + 0 + 3 + 401 = 666.

It is not a de Polignac number, because 1444020403401 - 218 = 1444020141257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1444020403403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512425 + ... + 1774998.

It is an arithmetic number, because the mean of its divisors is an integer number (67799247360).

Almost surely, 21444020403401 is an apocalyptic number.

It is an amenable number.

1444020403401 is a deficient number, since it is larger than the sum of its proper divisors (725555512119).

1444020403401 is a wasteful number, since it uses less digits than its factorization.

1444020403401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287762 (or 2287756 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1444020403401 its reverse (1043040204441), we get a palindrome (2487060607842).

The spelling of 1444020403401 in words is "one trillion, four hundred forty-four billion, twenty million, four hundred three thousand, four hundred one".

Divisors: 1 3 9 27 103 227 309 681 927 2043 2781 6129 23381 70143 210429 631287 2287423 6862269 20586807 61760421 235604569 519245021 706813707 1557735063 2120441121 4673205189 6361323363 14019615567 53482237163 160446711489 481340134467 1444020403401