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212444442104240 = 24541536718239833
BaseRepresentation
bin110000010011011110010011…
…100000011001000110110000
31000212012111020102221100022102
4300103132103200121012300
5210321142204134313430
62031455343540155532
762514414215021213
oct6023362340310660
91025174212840272
10212444442104240
1161767200175215
121b9b11a5998ba8
13917056a7548a8
143a66519ccb77a
15198627a344345
hexc137938191b0

212444442104240 has 160 divisors (see below), whose sum is σ = 523221749539776. Its totient is φ = 80126852382720.

The previous prime is 212444442104227. The next prime is 212444442104273. The reversal of 212444442104240 is 42401244444212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212444442104194 and 212444442104203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2527364 + ... + 20767196.

Almost surely, 2212444442104240 is an apocalyptic number.

212444442104240 is a gapful number since it is divisible by the number (20) 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 212444442104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261610874769888).

212444442104240 is an abundant number, since it is smaller than the sum of its proper divisors (310777307435536).

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

212444442104240 is a wasteful number, since it uses less digits than its factorization.

212444442104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18240007 (or 18240001 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 38.

Adding to 212444442104240 its reverse (42401244444212), we get a palindrome (254845686548452).

The spelling of 212444442104240 in words is "two hundred twelve trillion, four hundred forty-four billion, four hundred forty-two million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 53 67 80 82 106 134 164 205 212 265 268 328 335 410 424 530 536 656 670 820 848 1060 1072 1340 1640 2120 2173 2680 2747 3280 3551 4240 4346 5360 5494 7102 8692 10865 10988 13735 14204 17384 17755 21730 21976 27470 28408 34768 35510 43460 43952 54940 56816 71020 86920 109880 142040 145591 173840 219760 284080 291182 582364 727955 1164728 1455910 2329456 2911820 5823640 11647280 18239833 36479666 72959332 91199165 145918664 182398330 291837328 364796660 729593320 747833153 966711149 1222068811 1459186640 1495666306 1933422298 2444137622 2991332612 3739165765 3866844596 4833555745 4888275244 5982665224 6110344055 7478331530 7733689192 9667111490 9776550488 11965330448 12220688110 14956663060 15467378384 19334222980 19553100976 24441376220 29913326120 38668445960 39635157109 48882752440 50104821251 59826652240 64769646983 77336891920 79270314218 97765504880 100209642502 129539293966 158540628436 198175785545 200419285004 250524106255 259078587932 317081256872 323848234915 396351571090 400838570008 501048212510 518157175864 634162513744 647696469830 792703142180 801677140016 1002096425020 1036314351728 1295392939660 1585406284360 2004192850040 2590785879320 2655555526303 3170812568720 4008385700080 5181571758640 5311111052606 10622222105212 13277777631515 21244444210424 26555555263030 42488888420848 53111110526060 106222221052120 212444442104240