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41201144113220 = 22572136153016373
BaseRepresentation
bin10010101111000111000111…
…00011110010100001000100
312101212210100120111002120122
421113203203203302201010
520400014420343110340
6223343313323121112
711451453521411600
oct1127434343624104
9171783316432518
1041201144113220
1112145341816383
124755083973198
1319cb335c09c30
14a26208946500
154b6b0a0a3db5
hex2578e38f2844

41201144113220 has 144 divisors (see below), whose sum is σ = 110167601041008. Its totient is φ = 12825720714240.

The previous prime is 41201144113211. The next prime is 41201144113253. The reversal of 41201144113220 is 2231144110214.

It can be written as a sum of positive squares in 8 ways, for example, as 1713920852224 + 39487223260996 = 1309168^2 + 6283886^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 41201144113220.

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, 25731047 + ... + 27285326.

It is an arithmetic number, because the mean of its divisors is an integer number (765052785007).

Almost surely, 241201144113220 is an apocalyptic number.

It is an amenable number.

41201144113220 is an abundant number, since it is smaller than the sum of its proper divisors (68966456927788).

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

41201144113220 is a wasteful number, since it uses less digits than its factorization.

41201144113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53016470 (or 53016461 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 41201144113220 its reverse (2231144110214), we get a palindrome (43432288223434).

The spelling of 41201144113220 in words is "forty-one trillion, two hundred one billion, one hundred forty-four million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 61 65 70 91 98 122 130 140 182 196 244 245 260 305 364 427 455 490 610 637 793 854 910 980 1220 1274 1586 1708 1820 2135 2548 2989 3172 3185 3965 4270 5551 5978 6370 7930 8540 11102 11956 12740 14945 15860 22204 27755 29890 38857 55510 59780 77714 111020 155428 194285 388570 777140 53016373 106032746 212065492 265081865 371114611 530163730 689212849 742229222 1060327460 1378425698 1484458444 1855573055 2597802277 2756851396 3233998753 3446064245 3711146110 4824489943 5195604554 6467997506 6892128490 7422292220 9648979886 10391209108 12935995012 12989011385 13784256980 16169993765 19297959772 22637991271 24122449715 25978022770 32339987530 33771429601 42041983789 45275982542 48244899430 51956045540 64679975060 67542859202 84083967578 90551965084 96489798860 113189956355 135085718404 158465938897 168167935156 168857148005 210209918945 226379912710 294293886523 316931877794 337714296010 420419837890 452759825420 588587773046 633863755588 675428592020 792329694485 840839675780 1177175546092 1471469432615 1584659388970 2060057205661 2942938865230 3169318777940 4120114411322 5885877730460 8240228822644 10300286028305 20600572056610 41201144113220