Search a number
-
+
41334144341424 = 24311481316265191
BaseRepresentation
bin10010110010111110110101…
…11111011001010110110000
312102100111122120212201120120
421121133122333121112300
520404204311422411144
6223524351015410240
711464202425612134
oct1131373277312660
9172314576781516
1041334144341424
11121967919a1350
124776a01383980
131a0aa40545b0c
14a2c8246773c4
154ba2e1503e19
hex2597dafd95b0

41334144341424 has 80 divisors (see below), whose sum is σ = 116511343820544. Its totient is φ = 12522895084800.

The previous prime is 41334144341419. The next prime is 41334144341429. The reversal of 41334144341424 is 42414344143314.

It is an interprime number because it is at equal distance from previous prime (41334144341419) and next prime (41334144341429).

It is a super-2 number, since 2×413341443414242 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41334144341429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5591332 + ... + 10673859.

Almost surely, 241334144341424 is an apocalyptic number.

41334144341424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41334144341424 is an abundant number, since it is smaller than the sum of its proper divisors (75177199479120).

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

41334144341424 is a wasteful number, since it uses less digits than its factorization.

41334144341424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16270026 (or 16270020 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

Adding to 41334144341424 its reverse (42414344143314), we get a palindrome (83748488484738).

The spelling of 41334144341424 in words is "forty-one trillion, three hundred thirty-four billion, one hundred forty-four million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4813 9626 14439 19252 28878 38504 52943 57756 77008 105886 115512 158829 211772 231024 317658 423544 635316 847088 1270632 2541264 16265191 32530382 48795573 65060764 97591146 130121528 178917101 195182292 260243056 357834202 390364584 536751303 715668404 780729168 1073502606 1431336808 2147005212 2862673616 4294010424 8588020848 78284364283 156568728566 234853092849 313137457132 469706185698 626274914264 861128007113 939412371396 1252549828528 1722256014226 1878824742792 2583384021339 3444512028452 3757649485584 5166768042678 6889024056904 10333536085356 13778048113808 20667072170712 41334144341424