Search a number
-
+
41246400464214 = 231123323571137959
BaseRepresentation
bin10010110000011011011010…
…00011000100010101010110
312102001010011120021221002120
421120031231003010111112
520401240112004323324
6223420200151520410
711454645153143061
oct1130155503042526
9172033146257076
1041246400464214
1112162555852750
1247619b4089106
131a02698c7544a
14a2849d2658d8
154b7da827d179
hex25836d0c4556

41246400464214 has 64 divisors (see below), whose sum is σ = 90416802977280. Its totient is φ = 12439974782720.

The previous prime is 41246400464207. The next prime is 41246400464273.

41246400464214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

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, 35676967 + ... + 36814925.

It is an arithmetic number, because the mean of its divisors is an integer number (1412762546520).

Almost surely, 241246400464214 is an apocalyptic number.

41246400464214 is an abundant number, since it is smaller than the sum of its proper divisors (49170402513066).

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

41246400464214 is a wasteful number, since it uses less digits than its factorization.

41246400464214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140565.

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 41246400464214 in words is "forty-one trillion, two hundred forty-six billion, four hundred million, four hundred sixty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 233 466 699 1398 2357 2563 4714 5126 7071 7689 14142 15378 25927 51854 77781 155562 549181 1098362 1137959 1647543 2275918 3295086 3413877 6040991 6827754 12081982 12517549 18122973 25035098 36245946 37552647 75105294 265144447 530288894 795433341 1590866682 2682169363 2916588917 5364338726 5833177834 8046508089 8749766751 16093016178 17499533502 29503862993 59007725986 88511588979 177023177958 624945461579 1249890923158 1874836384737 3749672769474 6874400077369 13748800154738 20623200232107 41246400464214