Search a number
-
+
441772277144 = 231147106811479
BaseRepresentation
bin1100110110110111010…
…11011111110110011000
31120020021212110220200112
412123123223133312120
524214222200332034
6534540345023452
743626346253402
oct6333353376630
91506255426615
10441772277144
11160399a2a4a0
1271750784b88
13328749252b3
141754bcabb72
15b758cae7ce
hex66dbadfd98

441772277144 has 32 divisors (see below), whose sum is σ = 922851187200. Its totient is φ = 196533119520.

The previous prime is 441772277143. The next prime is 441772277161.

441772277144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441772277092 and 441772277101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441772277143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53401604 + ... + 53409875.

It is an arithmetic number, because the mean of its divisors is an integer number (28839099600).

Almost surely, 2441772277144 is an apocalyptic number.

441772277144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441772277144 is an abundant number, since it is smaller than the sum of its proper divisors (481078910056).

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

441772277144 is a wasteful number, since it uses less digits than its factorization.

441772277144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106811543 (or 106811539 counting only the distinct ones).

The product of its digits is 2458624, while the sum is 50.

The spelling of 441772277144 in words is "four hundred forty-one billion, seven hundred seventy-two million, two hundred seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 4136 106811479 213622958 427245916 854491832 1174926269 2349852538 4699705076 5020139513 9399410152 10040279026 20080558052 40161116104 55221534643 110443069286 220886138572 441772277144