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441140334023300 = 2252671117367116057
BaseRepresentation
bin110010001001101101111110…
…0111001111101001010000100
32010211221121022100211120111212
41210103123330321331022010
5430310120401002221200
64202121023254550552
7161630223501200312
oct14423337471751204
92124847270746455
10441140334023300
1111861962406240a
1241587b51368458
1315c1c47cc24152
147ad143dca70b2
1536001147b3035
hex19136fce7d284

441140334023300 has 144 divisors (see below), whose sum is σ = 972757473787008. Its totient is φ = 173608724044800.

The previous prime is 441140334023299. The next prime is 441140334023359. The reversal of 441140334023300 is 3320433041144.

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, 27473388872 + ... + 27473404928.

It is an arithmetic number, because the mean of its divisors is an integer number (6755260234632).

Almost surely, 2441140334023300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441140334023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486378736893504).

441140334023300 is an abundant number, since it is smaller than the sum of its proper divisors (531617139763708).

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

441140334023300 is a wasteful number, since it uses less digits than its factorization.

441140334023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20926 (or 20919 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 441140334023300 its reverse (3320433041144), we get a palindrome (444460767064444).

The spelling of 441140334023300 in words is "four hundred forty-one trillion, one hundred forty billion, three hundred thirty-four million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1117 1340 1675 2234 3350 3671 4468 5585 6700 7342 11170 14684 16057 18355 22340 27925 32114 36710 55850 64228 73420 74839 80285 91775 111700 149678 160570 183550 245957 299356 321140 367100 374195 401425 491914 748390 802850 983828 1075819 1229785 1496780 1605700 1870975 2151638 2459570 3741950 4100507 4303276 4919140 5379095 6148925 7483900 8201014 10758190 12297850 16402028 17935669 20502535 21516380 24595700 26895475 35871338 41005070 53790950 58945247 71742676 82010140 89678345 102512675 107581900 117890494 179356690 205025350 235780988 274733969 294726235 358713380 410050700 448391725 549467938 589452470 896783450 1098935876 1178904940 1201689823 1373669845 1473631175 1793566900 2403379646 2747339690 2947262350 3949331549 4806759292 5494679380 5894524700 6008449115 6868349225 7898663098 12016898230 13736698450 15797326196 19746657745 24033796460 27473396900 30042245575 39493315490 60084491150 65841840899 78986630980 98733288725 120168982300 131683681798 197466577450 263367363596 329209204495 394933154900 658418408990 1316836817980 1646046022475 3292092044950 4411403340233 6584184089900 8822806680466 17645613360932 22057016701165 44114033402330 88228066804660 110285083505825 220570167011650 441140334023300