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10444142401 = 711135638213
BaseRepresentation
bin10011011101000010…
…01111011101000001
3222221212111101221221
421232201033131001
5132342200024101
64444210115041
7516546513520
oct115641173501
928855441857
1010444142401
11447a49a850
12203587ba81
13ca5a15c24
147111384b7
15411d90aa1
hex26e84f741

10444142401 has 8 divisors (see below), whose sum is σ = 13021268544. Its totient is φ = 8138292720.

The previous prime is 10444142399. The next prime is 10444142431. The reversal of 10444142401 is 10424144401.

10444142401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10444142401 - 21 = 10444142399 is a prime.

It is a super-2 number, since 2×104441424012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10444142431) 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 7 ways as a sum of consecutive naturals, for example, 67819030 + ... + 67819183.

It is an arithmetic number, because the mean of its divisors is an integer number (1627658568).

Almost surely, 210444142401 is an apocalyptic number.

10444142401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10444142401 is a deficient number, since it is larger than the sum of its proper divisors (2577126143).

10444142401 is a wasteful number, since it uses less digits than its factorization.

10444142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135638231.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 10444142401 its reverse (10424144401), we get a palindrome (20868286802).

The spelling of 10444142401 in words is "ten billion, four hundred forty-four million, one hundred forty-two thousand, four hundred one".

Divisors: 1 7 11 77 135638213 949467491 1492020343 10444142401