Search a number
-
+
10441443441 = 311313215473
BaseRepresentation
bin10011011100101101…
…11100100001110001
3222221200102021200110
421232112330201301
5132341002142231
64444032211533
7516514543032
oct115626744161
928850367613
1010441443441
114478a17000
122034999ba9
13ca52ac600
14710a34a89
15411a0b046
hex26e5bc871

10441443441 has 48 divisors (see below), whose sum is σ = 16582681152. Its totient is φ = 5840989440.

The previous prime is 10441443427. The next prime is 10441443449. The reversal of 10441443441 is 14434414401.

It is not a de Polignac number, because 10441443441 - 29 = 10441442929 is a prime.

It is a super-2 number, since 2×104414434412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10441443399 and 10441443408.

It is not an unprimeable number, because it can be changed into a prime (10441443449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667081 + ... + 682553.

It is an arithmetic number, because the mean of its divisors is an integer number (345472524).

Almost surely, 210441443441 is an apocalyptic number.

10441443441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10441443441 is a deficient number, since it is larger than the sum of its proper divisors (6141237711).

10441443441 is a wasteful number, since it uses less digits than its factorization.

10441443441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15535 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10441443441 its reverse (14434414401), we get a palindrome (24875857842).

The spelling of 10441443441 in words is "ten billion, four hundred forty-one million, four hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 11 13 33 39 121 143 169 363 429 507 1331 1573 1859 3993 4719 5577 15473 17303 20449 46419 51909 61347 170203 201149 224939 510609 603447 674817 1872233 2212639 2614937 5616699 6637917 7844811 20594563 24339029 28764307 61783689 73017087 86292921 267729319 316407377 803187957 949222131 3480481147 10441443441