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4444231441401 = 32794962121461
BaseRepresentation
bin100000010101100000011…
…0101100001101111111001
3120201212100010112002210100
41000223000311201233321
51040303241222111101
613241352435310013
7636041124646563
oct100530065415771
916655303462710
104444231441401
111463873873614
125b93a414b309
132631210530bb
1411515da6c333
157a910acae86
hex40ac0d61bf9

4444231441401 has 12 divisors (see below), whose sum is σ = 6420253097700. Its totient is φ = 2962448184480.

The previous prime is 4444231441393. The next prime is 4444231441439. The reversal of 4444231441401 is 1041441324444.

4444231441401 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 231 + 4 + 414 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2964943053801 + 1479288387600 = 1721901^2 + 1216260^2 .

It is not a de Polignac number, because 4444231441401 - 23 = 4444231441393 is a prime.

It is a super-3 number, since 3×44442314414013 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4444231441901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30989190 + ... + 31132271.

It is an arithmetic number, because the mean of its divisors is an integer number (535021091475).

Almost surely, 24444231441401 is an apocalyptic number.

It is an amenable number.

4444231441401 is a deficient number, since it is larger than the sum of its proper divisors (1976021656299).

4444231441401 is a wasteful number, since it uses less digits than its factorization.

4444231441401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62129416 (or 62129413 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 4444231441401 its reverse (1041441324444), we get a palindrome (5485672765845).

The spelling of 4444231441401 in words is "four trillion, four hundred forty-four billion, two hundred thirty-one million, four hundred forty-one thousand, four hundred one".

Divisors: 1 3 9 7949 23847 71541 62121461 186364383 559093149 493803493489 1481410480467 4444231441401