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20221441141434 = 231315761713991913
BaseRepresentation
bin1001001100100001010111…
…10100001110101010111010
32122121011002000001000210120
410212100223310032222322
510122302002413011214
6111001333554154110
74154644106456211
oct446205364165272
978534060030716
1020221441141434
116496957397135
122327073882936
13b38b48732540
144dca19ba6078
15251015845ea9
hex12642bd0eaba

20221441141434 has 128 divisors (see below), whose sum is σ = 43956672883200. Its totient is φ = 6164695240704.

The previous prime is 20221441141373. The next prime is 20221441141463. The reversal of 20221441141434 is 43414114412202.

It is a junction number, because it is equal to n+sod(n) for n = 20221441141395 and 20221441141404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10570538062 + ... + 10570539974.

It is an arithmetic number, because the mean of its divisors is an integer number (343411506900).

Almost surely, 220221441141434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221441141434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978336441600).

20221441141434 is an abundant number, since it is smaller than the sum of its proper divisors (23735231741766).

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

20221441141434 is a wasteful number, since it uses less digits than its factorization.

20221441141434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 20221441141434 its reverse (43414114412202), we get a palindrome (63635555553636).

The spelling of 20221441141434 in words is "twenty trillion, two hundred twenty-one billion, four hundred forty-one million, one hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 617 942 1234 1399 1851 1913 2041 2798 3702 3826 4082 4197 5739 6123 8021 8394 11478 12246 16042 18187 24063 24869 36374 48126 49738 54561 74607 96869 109122 149214 193738 219643 290607 300341 439286 581214 600682 658929 863183 901023 1180321 1259297 1317858 1726366 1802046 2360642 2518594 2589549 2676287 2855359 3540963 3777891 3904433 5179098 5352574 5710718 7081926 7555782 7808866 8028861 8566077 11221379 11713299 15344173 16057722 17132154 22442758 23426598 30688346 33664137 34791731 46032519 67328274 69583462 92065038 104375193 135519731 185310397 208750386 271039462 370620794 406559193 420177059 555931191 813118386 840354118 1111862382 1260531177 1651269079 1761756503 2409035161 2521062354 3302538158 3523513006 4818070322 4953807237 5285269509 5462301767 7227105483 9907614474 10570539018 10924603534 14454210966 16386905301 21466498027 32773810602 42932996054 64399494081 128798988162 259249245403 518498490806 777747736209 1555495472418 3370240190239 6740480380478 10110720570717 20221441141434