Search a number
-
+
14424242234024 = 23719106912681589
BaseRepresentation
bin1101000111100110011111…
…0101011010001010101000
31220001221111020112102001202
43101321213311122022220
53342311322002442044
650402223322303332
73016055112010520
oct321714765321250
956057436472052
1014424242234024
11466131777a237
12174b621657b48
1380827ab1225c
1437c1cc0c4680
151a031abd5c4e
hexd1e67d5a2a8

14424242234024 has 64 divisors (see below), whose sum is σ = 32566323120000. Its totient is φ = 5850980345088.

The previous prime is 14424242233979. The next prime is 14424242234063. The reversal of 14424242234024 is 42043224242441.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5203379 + ... + 7478210.

It is an arithmetic number, because the mean of its divisors is an integer number (508848798750).

Almost surely, 214424242234024 is an apocalyptic number.

14424242234024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14424242234024 is an abundant number, since it is smaller than the sum of its proper divisors (18142080885976).

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

14424242234024 is a wasteful number, since it uses less digits than its factorization.

14424242234024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12682690 (or 12682686 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 14424242234024 its reverse (42043224242441), we get a palindrome (56467466476465).

The spelling of 14424242234024 in words is "fourteen trillion, four hundred twenty-four billion, two hundred forty-two million, two hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1069 2138 4276 7483 8552 14966 20311 29932 40622 59864 81244 142177 162488 284354 568708 1137416 12681589 25363178 50726356 88771123 101452712 177542246 240950191 355084492 481900382 710168984 963800764 1686651337 1927601528 3373302674 6746605348 13493210696 13556618641 27113237282 54226474564 94896330487 108452949128 189792660974 257575754179 379585321948 515151508358 759170643896 1030303016716 1803030279253 2060606033432 3606060558506 7212121117012 14424242234024