Search a number
-
+
1444332332300 = 22521113101999119
BaseRepresentation
bin10101000001001000111…
…010100110010100001100
312010002002000002121122012
4111001020322212110030
5142130443034113200
63023303410240352
7206230621155164
oct25011072462414
95102060077565
101444332332300
115075a0a47750
121b3b07b860b8
13a627a3b9370
144dc983195a4
1527885165a35
hex15048ea650c

1444332332300 has 144 divisors (see below), whose sum is σ = 3685789094400. Its totient is φ = 484330195200.

The previous prime is 1444332332299. The next prime is 1444332332341. The reversal of 1444332332300 is 32332334441.

It is a super-2 number, since 2×14443323323002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14522141 + ... + 14621259.

It is an arithmetic number, because the mean of its divisors is an integer number (25595757600).

Almost surely, 21444332332300 is an apocalyptic number.

1444332332300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444332332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842894547200).

1444332332300 is an abundant number, since it is smaller than the sum of its proper divisors (2241456762100).

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

1444332332300 is a wasteful number, since it uses less digits than its factorization.

1444332332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100176 (or 100169 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 1444332332300 its reverse (32332334441), we get a palindrome (1476664666741).

The spelling of 1444332332300 in words is "one trillion, four hundred forty-four billion, three hundred thirty-two million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1019 1100 1300 1430 2038 2860 3575 4076 5095 7150 10190 11209 13247 14300 20380 22418 25475 26494 44836 50950 52988 56045 66235 99119 101900 112090 132470 145717 198238 224180 264940 280225 291434 331175 396476 495595 560450 582868 662350 728585 991190 1090309 1120900 1288547 1324700 1457170 1982380 2180618 2477975 2577094 2914340 3642925 4361236 4955950 5154188 5451545 6442735 7285850 9911900 10903090 12885470 14174017 14571700 21806180 25770940 27257725 28348034 32213675 54515450 56696068 64427350 70870085 101002261 109030900 128854700 141740170 202004522 283480340 354350425 404009044 505011305 708700850 1010022610 1111024871 1313029393 1417401700 2020045220 2222049742 2525056525 2626058786 4444099484 5050113050 5252117572 5555124355 6565146965 10100226100 11110248710 13130293930 14443323323 22220497420 26260587860 27775621775 28886646646 32825734825 55551243550 57773293292 65651469650 72216616615 111102487100 131302939300 144433233230 288866466460 361083083075 722166166150 1444332332300