Search a number
-
+
41420858404518 = 235887148164879
BaseRepresentation
bin10010110101100000010111…
…00011010010111010100110
312102122210110211200112200000
421122300023203102322212
520412114404222421033
6224032251335002130
711503362325154535
oct1132601343227246
9172583424615600
1041420858404518
111221a53a8033aa
12478b781809346
131a15c7c66ab18
14a32accdba31c
154bc6b9159a13
hex25ac0b8d2ea6

41420858404518 has 96 divisors (see below), whose sum is σ = 93238364943360. Its totient is φ = 13781862262080.

The previous prime is 41420858404517. The next prime is 41420858404547. The reversal of 41420858404518 is 81540485802414.

41420858404518 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 0 + 8 + 584 + 0 + 4 + 51 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41420858404511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638400003 + ... + 638464881.

It is an arithmetic number, because the mean of its divisors is an integer number (971232968160).

Almost surely, 241420858404518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41420858404518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46619182471680).

41420858404518 is an abundant number, since it is smaller than the sum of its proper divisors (51817506538842).

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

41420858404518 is a wasteful number, since it uses less digits than its factorization.

41420858404518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67264 (or 67252 counting only the distinct ones).

The product of its (nonzero) digits is 6553600, while the sum is 54.

The spelling of 41420858404518 in words is "forty-one trillion, four hundred twenty billion, eight hundred fifty-eight million, four hundred four thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 887 1481 1774 2661 2962 4443 5322 7983 8886 13329 15966 23949 26658 39987 47898 64879 71847 79974 119961 129758 143694 194637 215541 239922 359883 389274 431082 583911 719766 1167822 1313647 1751733 2627294 3503466 3940941 5255199 7881882 10510398 11822823 15765597 23645646 31531194 35468469 57547673 70936938 96085799 106405407 115095346 172643019 192171598 212810814 288257397 319216221 345286038 517929057 576514794 638432442 864772191 1035858114 1553787171 1729544382 2594316573 3107574342 4661361513 5188633146 7782949719 9322723026 13984084539 15565899438 23348849157 27968169078 46697698314 85228103713 170456207426 255684311139 511368622278 767052933417 1534105866834 2301158800251 4602317600502 6903476400753 13806952801506 20710429202259 41420858404518