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444123401033031 = 34349107713160363
BaseRepresentation
bin110010011111011011000100…
…1100011100001010101000111
32011020111210010102200211010020
41210332312021203201111013
5431203004211131024111
64212323250201430223
7162355566620334006
oct14476661143412507
92136453112624106
10444123401033031
11119569749678955
124198a11049b373
13160a78705c3385
147b95989d64c3d
153652a07669906
hex193ed898e1547

444123401033031 has 16 divisors (see below), whose sum is σ = 592355873539200. Its totient is φ = 295986610643040.

The previous prime is 444123401033027. The next prime is 444123401033107. The reversal of 444123401033031 is 130330104321444.

It is not a de Polignac number, because 444123401033031 - 22 = 444123401033027 is a prime.

It is a super-2 number, since 2×4441234010330312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444123401032983 and 444123401033001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444123401031031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138949056 + ... + 142109418.

It is an arithmetic number, because the mean of its divisors is an integer number (37022242096200).

Almost surely, 2444123401033031 is an apocalyptic number.

444123401033031 is a deficient number, since it is larger than the sum of its proper divisors (148232472506169).

444123401033031 is a wasteful number, since it uses less digits than its factorization.

444123401033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175486.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 444123401033031 its reverse (130330104321444), we get a palindrome (574453505354475).

The spelling of 444123401033031 in words is "four hundred forty-four trillion, one hundred twenty-three billion, four hundred one million, thirty-three thousand, thirty-one".

Divisors: 1 3 4349 10771 13047 32313 3160363 9481089 46843079 140529237 13744418687 34040269873 41233256061 102120809619 148041133677677 444123401033031