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14481298241040 = 2435294017751787
BaseRepresentation
bin1101001010111011000010…
…1000110011011000010000
31220021101202120110212122210
43102232300220303120100
53344230144322203130
650444341102432120
73023145033036351
oct322566050633020
956241676425583
1014481298241040
11468353636a844
12175a6a5592640
13810771667557
14380c8198dd28
151a1a59c595b0
hexd2bb0a33610

14481298241040 has 160 divisors (see below), whose sum is σ = 46442078052480. Its totient is φ = 3728353370112.

The previous prime is 14481298240967. The next prime is 14481298241071. The reversal of 14481298241040 is 4014289218441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279606027 + ... + 279657813.

It is an arithmetic number, because the mean of its divisors is an integer number (290262987828).

Almost surely, 214481298241040 is an apocalyptic number.

14481298241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14481298241040 is an abundant number, since it is smaller than the sum of its proper divisors (31960779811440).

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

14481298241040 is a wasteful number, since it uses less digits than its factorization.

14481298241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92009 (or 92003 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 14481298241040 in words is "fourteen trillion, four hundred eighty-one billion, two hundred ninety-eight million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 40177 51787 80354 103574 120531 155361 160708 200885 207148 241062 258935 310722 321416 401770 414296 482124 517870 602655 621444 642832 776805 803540 828592 964248 1035740 1165133 1205310 1242888 1501823 1553610 1607080 1928496 2071480 2330266 2410620 2485776 3003646 3107220 3214160 3495399 4142960 4505469 4660532 4821240 5825665 6007292 6214440 6990798 7509115 9010938 9321064 9642480 11651330 12014584 12428880 13981596 15018230 17476995 18021876 18642128 22527345 23302660 24029168 27963192 30036460 34953990 36043752 45054690 46605320 55926384 60072920 69907980 72087504 90109380 93210640 120145840 139815960 180218760 279631920 360437520 2080646299 4161292598 6241938897 8322585196 10403231495 12483877794 16645170392 20806462990 24967755588 31209694485 33290340784 41612925980 49935511176 60338742671 62419388970 83225851960 99871022352 120677485342 124838777940 166451703920 181016228013 241354970684 249677555880 301693713355 362032456026 482709941368 499355111760 603387426710 724064912052 905081140065 965419882736 1206774853420 1448129824104 1810162280130 2413549706840 2896259648208 3620324560260 4827099413680 7240649120520 14481298241040