Search a number
-
+
1444234144000 = 285345132317
BaseRepresentation
bin10101000001000011000…
…100000010100100000000
312010001211011100010121111
4111001003010002210000
5142130242420102000
63023245541533104
7206225316450004
oct25010304024400
95101734303544
101444234144000
1150755058339a
121b3a9b114194
13a6262c5b38b
144dc8927a704
152787b71ccba
hex15043102900

1444234144000 has 72 divisors (see below), whose sum is σ = 3597767861688. Its totient is φ = 577693644800.

The previous prime is 1444234143997. The next prime is 1444234144027. The reversal of 1444234144000 is 4414324441.

It can be written as a sum of positive squares in 4 ways, for example, as 196312797184 + 1247921346816 = 443072^2 + 1117104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22534159 + ... + 22598158.

It is an arithmetic number, because the mean of its divisors is an integer number (49968998079).

Almost surely, 21444234144000 is an apocalyptic number.

1444234144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444234144000 is an abundant number, since it is smaller than the sum of its proper divisors (2153533717688).

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

1444234144000 is an frugal number, since it uses more digits than its factorization.

1444234144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45132348 (or 45132324 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 1444234144000 its reverse (4414324441), we get a palindrome (1448648468441).

The spelling of 1444234144000 in words is "one trillion, four hundred forty-four billion, two hundred thirty-four million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 45132317 90264634 180529268 225661585 361058536 451323170 722117072 902646340 1128307925 1444234144 1805292680 2256615850 2888468288 3610585360 4513231700 5641539625 5776936576 7221170720 9026463400 11283079250 11553873152 14442341440 18052926800 22566158500 28884682880 36105853600 45132317000 57769365760 72211707200 90264634000 144423414400 180529268000 288846828800 361058536000 722117072000 1444234144000