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1444301214031 = 1317291601140759
BaseRepresentation
bin10101000001000111000…
…011111001000101001111
312010001222211112122101201
4111001013003321011033
5142130412102322111
63023300335250331
7206230062521314
oct25010703710517
95101884478351
101444301214031
11507585423075
121b3ab96799a7
13a6273b123a0
144dc94138d0b
152788256a6c1
hex150470f914f

1444301214031 has 32 divisors (see below), whose sum is σ = 1704761251200. Its totient is φ = 1210744012800.

The previous prime is 1444301214007. The next prime is 1444301214043. The reversal of 1444301214031 is 1304121034441.

It is a cyclic number.

It is not a de Polignac number, because 1444301214031 - 29 = 1444301213519 is a prime.

It is a super-2 number, since 2×14443012140312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444301214131) 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, 10190430 + ... + 10331188.

It is an arithmetic number, because the mean of its divisors is an integer number (53273789100).

Almost surely, 21444301214031 is an apocalyptic number.

1444301214031 is a deficient number, since it is larger than the sum of its proper divisors (260460037169).

1444301214031 is a wasteful number, since it uses less digits than its factorization.

1444301214031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142419.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1444301214031 its reverse (1304121034441), we get a palindrome (2748422248472).

The spelling of 1444301214031 in words is "one trillion, four hundred forty-four billion, three hundred one million, two hundred fourteen thousand, thirty-one".

Divisors: 1 13 17 29 221 377 493 1601 6409 20813 27217 46429 140759 353821 603577 789293 1829867 2392903 4082011 10260809 31107739 53066143 69394187 225355159 902124431 2929617067 3831037703 6535299611 49803490139 84958894943 111100093387 1444301214031