Search a number
-
+
445124421544 = 231142112014803
BaseRepresentation
bin1100111101000110111…
…10111010011110101000
31120112221111010111022211
412132203132322132220
524243103322442134
6540253133054504
744105412104215
oct6364336723650
91515844114284
10445124421544
1116185a14a170
1272327327434
1332c8a263aaa
141778917cb0c
15b8a3212764
hex67a37ba7a8

445124421544 has 32 divisors (see below), whose sum is σ = 912644511840. Its totient is φ = 201848673600.

The previous prime is 445124421503. The next prime is 445124421557.

445124421544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4451244215442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445124421497 and 445124421506.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5970354 + ... + 6044449.

It is an arithmetic number, because the mean of its divisors is an integer number (28520140995).

Almost surely, 2445124421544 is an apocalyptic number.

445124421544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445124421544 is an abundant number, since it is smaller than the sum of its proper divisors (467520090296).

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

445124421544 is a wasteful number, since it uses less digits than its factorization.

445124421544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015241 (or 12015237 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

It can be divided in two parts, 445124 and 421544, that added together give a palindrome (866668).

The spelling of 445124421544 in words is "four hundred forty-five billion, one hundred twenty-four million, four hundred twenty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 421 842 1684 3368 4631 9262 18524 37048 12014803 24029606 48059212 96118424 132162833 264325666 528651332 1057302664 5058232063 10116464126 20232928252 40465856504 55640552693 111281105386 222562210772 445124421544