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1144411000401 = 311331310785443
BaseRepresentation
bin10000101001110100001…
…101100000111001010001
311001101220222012100020110
4100221310031200321101
5122222223204003101
62233422443231533
7145452400000554
oct20516415407121
94041828170213
101144411000401
114013841a1a09
12165964b185a9
1383bc0972836
143d56581469b
151eb7e845cd6
hex10a74360e51

1144411000401 has 16 divisors (see below), whose sum is σ = 1544303013696. Its totient is φ = 753772970496.

The previous prime is 1144411000357. The next prime is 1144411000427. The reversal of 1144411000401 is 1040001144411.

It is not a de Polignac number, because 1144411000401 - 215 = 1144410967633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1144411000441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5286615 + ... + 5498828.

It is an arithmetic number, because the mean of its divisors is an integer number (96518938356).

Almost surely, 21144411000401 is an apocalyptic number.

It is an amenable number.

1144411000401 is a deficient number, since it is larger than the sum of its proper divisors (399892013295).

1144411000401 is a wasteful number, since it uses less digits than its factorization.

1144411000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785872.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1144411000401 its reverse (1040001144411), we get a palindrome (2184412144812).

The spelling of 1144411000401 in words is "one trillion, one hundred forty-four billion, four hundred eleven million, four hundred one", and thus it is an aban number.

Divisors: 1 3 113 313 339 939 35369 106107 10785443 32356329 1218755059 3375843659 3656265177 10127530977 381470333467 1144411000401