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444434141001 = 31944917365457
BaseRepresentation
bin1100111011110100101…
…01101100111101001001
31120111011101020121102210
412131322111230331021
524240200120003001
6540100434015333
744052330603414
oct6357225547511
91514141217383
10444434141001
11161535539184
1272174117549
1332baa248676
1417721614b7b
15b86280edd6
hex677a56cf49

444434141001 has 16 divisors (see below), whose sum is σ = 625156488000. Its totient is φ = 280070074368.

The previous prime is 444434140967. The next prime is 444434141033. The reversal of 444434141001 is 100141434444.

It is not a de Polignac number, because 444434141001 - 218 = 444433878857 is a prime.

It is a super-3 number, since 3×4444341410013 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444434141001.

It is not an unprimeable number, because it can be changed into a prime (444434141201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8657136 + ... + 8708321.

It is an arithmetic number, because the mean of its divisors is an integer number (39072280500).

Almost surely, 2444434141001 is an apocalyptic number.

It is an amenable number.

444434141001 is a deficient number, since it is larger than the sum of its proper divisors (180722346999).

444434141001 is a wasteful number, since it uses less digits than its factorization.

444434141001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17365928.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 444434141001 its reverse (100141434444), we get a palindrome (544575575445).

The spelling of 444434141001 in words is "four hundred forty-four billion, four hundred thirty-four million, one hundred forty-one thousand, one".

Divisors: 1 3 19 57 449 1347 8531 25593 17365457 52096371 329943683 989831049 7797090193 23391270579 148144713667 444434141001