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41461420253024 = 2529611013723031
BaseRepresentation
bin10010110110101011111010…
…01110011101111101100000
312102210200011122221221102102
421123111331032131331200
520413300442041044044
6224103040304105532
711506326434165612
oct1133257516357540
9172720148857372
1041461420253024
1112235764921552
1247976019052a8
131a19a44c4b905
14a34a5a03cdb2
154bd79012524e
hex25b57d39df60

41461420253024 has 96 divisors (see below), whose sum is σ = 85911038216640. Its totient is φ = 19668266956800.

The previous prime is 41461420252999. The next prime is 41461420253041. The reversal of 41461420253024 is 42035202416414.

It is a super-2 number, since 2×414614202530242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56982389 + ... + 57705419.

It is an arithmetic number, because the mean of its divisors is an integer number (894906648090).

Almost surely, 241461420253024 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 41461420253024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42955519108320).

41461420253024 is an abundant number, since it is smaller than the sum of its proper divisors (44449617963616).

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

41461420253024 is a wasteful number, since it uses less digits than its factorization.

41461420253024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724144 (or 724136 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

Adding to 41461420253024 its reverse (42035202416414), we get a palindrome (83496622669438).

The spelling of 41461420253024 in words is "forty-one trillion, four hundred sixty-one billion, four hundred twenty million, two hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 61 116 122 232 244 464 488 928 976 1013 1769 1952 2026 3538 4052 7076 8104 14152 16208 28304 29377 32416 56608 58754 61793 117508 123586 235016 247172 470032 494344 723031 940064 988688 1446062 1791997 1977376 2892124 3583994 5784248 7167988 11568496 14335976 20967899 23136992 28671952 41935798 44104891 57343904 83871596 88209782 167743192 176419564 335486384 352839128 670972768 705678256 732430403 1279041839 1411356512 1464860806 2558083678 2929721612 5116167356 5859443224 10232334712 11718886448 20464669424 21240481687 23437772896 40929338848 42480963374 44678254583 84961926748 89356509166 169923853496 178713018332 339847706992 357426036664 679695413984 714852073328 1295669382907 1429704146656 2591338765814 5182677531628 10365355063256 20730710126512 41461420253024