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1014414432444 = 223272575064871
BaseRepresentation
bin11101100001011111100…
…11111101100010111100
310120222101021201110111100
432300233303331202330
5113110010043314234
62054003205453100
7133201064256300
oct16605763754274
93528337643440
101014414432444
11361235557386
12144725411190
13748747001ca
143715299dd00
151b5c1e5e399
hexec2fcfd8bc

1014414432444 has 54 divisors (see below), whose sum is σ = 2982861491064. Its totient is φ = 289832694480.

The previous prime is 1014414432443. The next prime is 1014414432461. The reversal of 1014414432444 is 4442344144101.

1014414432444 is a `hidden beast` number, since 1 + 0 + 1 + 44 + 144 + 32 + 444 = 666.

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 = 1014414432399 and 1014414432408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014414432443) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 287530672 + ... + 287534199.

Almost surely, 21014414432444 is an apocalyptic number.

1014414432444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1014414432444 is an abundant number, since it is smaller than the sum of its proper divisors (1968447058620).

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

1014414432444 is a wasteful number, since it uses less digits than its factorization.

1014414432444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575064895 (or 575064883 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 1014414432444 its reverse (4442344144101), we get a palindrome (5456758576545).

The spelling of 1014414432444 in words is "one trillion, fourteen billion, four hundred fourteen million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 575064871 1150129742 1725194613 2300259484 3450389226 4025454097 5175583839 6900778452 8050908194 10351167678 12076362291 16101816388 20702335356 24152724582 28178178679 36229086873 48305449164 56356357358 72458173746 84534536037 112712714716 144916347492 169069072074 253603608111 338138144148 507207216222 1014414432444