Search a number
-
+
444040440444 = 223270791742401
BaseRepresentation
bin1100111011000101101…
…11110110101001111100
31120110010221102112210200
412131202313312221330
524233343323043234
6535553411403500
744036510316366
oct6354267665174
91513127375720
10444040440444
11161353286117
12720842b3590
1332b46801463
14176c520dd36
15b83ce92d99
hex6762df6a7c

444040440444 has 36 divisors (see below), whose sum is σ = 1122594760560. Its totient is φ = 147992486400.

The previous prime is 444040440421. The next prime is 444040440457. The reversal of 444040440444 is 444044040444.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444040440399 and 444040440408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616357 + ... + 1126044.

Almost surely, 2444040440444 is an apocalyptic number.

It is an amenable number.

444040440444 is an abundant number, since it is smaller than the sum of its proper divisors (678554320116).

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

444040440444 is a wasteful number, since it uses less digits than its factorization.

444040440444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749490 (or 1749485 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 444040440444 its reverse (444044040444), we get a palindrome (888084480888).

The spelling of 444040440444 in words is "four hundred forty-four billion, forty million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 7079 14158 21237 28316 42474 63711 84948 127422 254844 1742401 3484802 5227203 6969604 10454406 15681609 20908812 31363218 62726436 12334456679 24668913358 37003370037 49337826716 74006740074 111010110111 148013480148 222020220222 444040440444