Search a number
-
+
4444107800448 = 27311573197397
BaseRepresentation
bin100000010101011100101…
…1101110111111110000000
3120201212000111212111021210
41000222321131313332000
51040303013044103243
613241332301250120
7636035064012411
oct100527135677600
916655014774253
104444107800448
11146380aaa5308
125b936a863940
13263101552b84
1411514b485808
157a904d06933
hex40ab9777f80

4444107800448 has 32 divisors (see below), whose sum is σ = 11804661345960. Its totient is φ = 1481369266688.

The previous prime is 4444107800441. The next prime is 4444107800459. The reversal of 4444107800448 is 8440087014444.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4444107800397 and 4444107800406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444107800441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5786598315 + ... + 5786599082.

Almost surely, 24444107800448 is an apocalyptic number.

4444107800448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4444107800448 is an abundant number, since it is smaller than the sum of its proper divisors (7360553545512).

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

4444107800448 is a wasteful number, since it uses less digits than its factorization.

4444107800448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11573197414 (or 11573197402 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 48.

The spelling of 4444107800448 in words is "four trillion, four hundred forty-four billion, one hundred seven million, eight hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 11573197397 23146394794 34719592191 46292789588 69439184382 92585579176 138878368764 185171158352 277756737528 370342316704 555513475056 740684633408 1111026950112 1481369266816 2222053900224 4444107800448