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541002540233441 = 1113231019955116901
BaseRepresentation
bin111101100000010011111100…
…0001110111011001011100001
32121221112100010012211022102002
41323000213320032323023201
51031402241200244432231
65154341045210333345
7221645100165426026
oct17300477016731341
92557470105738362
10541002540233441
1114741a986066810
1250815b0012a255
131a2b44225a22a0
14978493c4a354d
154282ab6da80cb
hex1ec09f83bb2e1

541002540233441 has 64 divisors (see below), whose sum is σ = 663977107906560. Its totient is φ = 433752290400000.

The previous prime is 541002540233431. The next prime is 541002540233473. The reversal of 541002540233441 is 144332045200145.

It is not a de Polignac number, because 541002540233441 - 246 = 470633796055777 is a prime.

It is a super-3 number, since 3×5410025402334413 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541002540233395 and 541002540233404.

It is not an unprimeable number, because it can be changed into a prime (541002540233411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32010082091 + ... + 32010098991.

It is an arithmetic number, because the mean of its divisors is an integer number (10374642311040).

Almost surely, 2541002540233441 is an apocalyptic number.

It is an amenable number.

541002540233441 is a deficient number, since it is larger than the sum of its proper divisors (122974567673119).

541002540233441 is a wasteful number, since it uses less digits than its factorization.

541002540233441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27518.

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 541002540233441 its reverse (144332045200145), we get a palindrome (685334585433586).

The spelling of 541002540233441 in words is "five hundred forty-one trillion, two billion, five hundred forty million, two hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 11 13 23 143 253 299 1019 3289 9551 11209 13247 16901 23437 105061 124163 145717 185911 219673 219713 257807 304681 388723 1365793 2416403 2416843 2855749 3351491 4275953 5053399 9732469 17222119 31413239 55587389 107057159 126522097 161421451 189443309 223846787 223887547 396108737 1391743067 1775635961 2098478863 2462314657 2462763017 2910008231 3712693373 4357196107 5149413581 23083267493 32010090541 40839627103 48265013849 56643549391 164488458569 530915152339 1809373044259 2138349961397 3783234547087 23521849575367 41615580017957 49182049112131 541002540233441