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444144374141 = 1356921600217
BaseRepresentation
bin1100111011010010001…
…00010101000101111101
31120110102011222221000212
412131221010111011331
524234101424433031
6540012003202205
744042211614156
oct6355104250575
91513364887025
10444144374141
111613a6a14036
12720b3076365
1332b621c15a0
14176d4d4692d
15b84717312b
hex676911517d

444144374141 has 8 divisors (see below), whose sum is σ = 478318525944. Its totient is φ = 409971536640.

The previous prime is 444144374137. The next prime is 444144374183. The reversal of 444144374141 is 141473441444.

It can be written as a sum of positive squares in 4 ways, for example, as 200745218116 + 243399156025 = 448046^2 + 493355^2 .

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 444144374141 - 22 = 444144374137 is a prime.

It is a super-2 number, since 2×4441443741412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444144370141) 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, 439865 + ... + 1040081.

It is an arithmetic number, because the mean of its divisors is an integer number (59789815743).

Almost surely, 2444144374141 is an apocalyptic number.

It is an amenable number.

444144374141 is a deficient number, since it is larger than the sum of its proper divisors (34174151803).

444144374141 is a wasteful number, since it uses less digits than its factorization.

444144374141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657151.

The product of its digits is 344064, while the sum is 41.

The spelling of 444144374141 in words is "four hundred forty-four billion, one hundred forty-four million, three hundred seventy-four thousand, one hundred forty-one".

Divisors: 1 13 56921 600217 739973 7802821 34164951857 444144374141