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4410053114004 = 22321132609415517
BaseRepresentation
bin100000000101100101110…
…1001100011100010010100
3120121121010011222011202200
41000023023221203202110
51034223242044122004
613213541143204500
7633421140653316
oct100131351434224
916547104864680
104410053114004
11145032501634a
125b2845a46730
1325cb3512cb35
1411363a72d7b6
1579ab0254239
hex402cba63894

4410053114004 has 72 divisors (see below), whose sum is σ = 11250623540520. Its totient is φ = 1456446738432.

The previous prime is 4410053113987. The next prime is 4410053114017. The reversal of 4410053114004 is 4004113500144.

It can be written as a sum of positive squares in 4 ways, for example, as 170983904004 + 4239069210000 = 413502^2 + 2058900^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10405654 + ... + 10821170.

It is an arithmetic number, because the mean of its divisors is an integer number (156258660285).

Almost surely, 24410053114004 is an apocalyptic number.

It is an amenable number.

4410053114004 is an abundant number, since it is smaller than the sum of its proper divisors (6840570426516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4410053114004 is a wasteful number, since it uses less digits than its factorization.

4410053114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418249 (or 418244 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4410053114004 its reverse (4004113500144), we get a palindrome (8414166614148).

The spelling of 4410053114004 in words is "four trillion, four hundred ten billion, fifty-three million, one hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 2609 4068 5218 7827 10436 15654 23481 31308 46962 93924 294817 415517 589634 831034 884451 1179268 1246551 1662068 1768902 2493102 2653353 3537804 3739653 4986204 5306706 7479306 10613412 14958612 46953421 93906842 140860263 187813684 281720526 422580789 563441052 845161578 1084083853 1690323156 2168167706 3252251559 4336335412 6504503118 9756754677 13009006236 19513509354 39027018708 122501475389 245002950778 367504426167 490005901556 735008852334 1102513278501 1470017704668 2205026557002 4410053114004