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444507252101421 = 34350923112929351
BaseRepresentation
bin110010100010001101110100…
…0110111001001000100101101
32011021212110220200012110112220
41211010123220313021010231
5431230301323014221141
64213215451302145553
7162425406041514525
oct14504335067110455
92137773820173486
10444507252101421
111196a7515592983
1241a305974222b9
1316104b14361982
147baa3a14a8685
15365c9c144e766
hex19446e8dc912d

444507252101421 has 32 divisors (see below), whose sum is σ = 607914125322240. Its totient is φ = 288752825592000.

The previous prime is 444507252101387. The next prime is 444507252101441. The reversal of 444507252101421 is 124101252705444.

It is not a de Polignac number, because 444507252101421 - 26 = 444507252101357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444507252101441) 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 31 ways as a sum of consecutive naturals, for example, 150277896 + ... + 153207246.

It is an arithmetic number, because the mean of its divisors is an integer number (18997316416320).

Almost surely, 2444507252101421 is an apocalyptic number.

It is an amenable number.

444507252101421 is a deficient number, since it is larger than the sum of its proper divisors (163406873220819).

444507252101421 is a wasteful number, since it uses less digits than its factorization.

444507252101421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932217.

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 444507252101421 in words is "four hundred forty-four trillion, five hundred seven billion, two hundred fifty-two million, one hundred one thousand, four hundred twenty-one".

Divisors: 1 3 43 129 509 1527 2311 6933 21887 65661 99373 298119 1176299 2929351 3528897 8788053 50580857 125962093 151742571 377886279 1491039659 4473118977 6769730161 20309190483 64114705337 192344116011 291098396923 873295190769 3445792651949 10337377955847 148169084033807 444507252101421