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14500415042208 = 253273689707717
BaseRepresentation
bin1101001100000010010000…
…0101100111001010100000
31220100020002212002222212200
43103000210011213022200
53400033322222322313
650501222042053200
73024422542131504
oct323004405471240
956306085088780
1014500415042208
1146906562a2477
12176233b7aa200
138124ca07bc14
14381b76850304
151a22c81b6b73
hexd30241672a0

14500415042208 has 72 divisors (see below), whose sum is σ = 41800425957108. Its totient is φ = 4767259732992.

The previous prime is 14500415042173. The next prime is 14500415042209. The reversal of 14500415042208 is 80224051400541.

14500415042208 is a `hidden beast` number, since 1 + 4 + 500 + 41 + 50 + 42 + 20 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14147136967824 + 353278074384 = 3761268^2 + 594372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14500415042209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344832835 + ... + 344874882.

Almost surely, 214500415042208 is an apocalyptic number.

14500415042208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14500415042208 is an abundant number, since it is smaller than the sum of its proper divisors (27300010914900).

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

14500415042208 is a wasteful number, since it uses less digits than its factorization.

14500415042208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689707806 (or 689707795 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 14500415042208 its reverse (80224051400541), we get a palindrome (94724466442749).

The spelling of 14500415042208 in words is "fourteen trillion, five hundred billion, four hundred fifteen million, forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 689707717 1379415434 2069123151 2758830868 4138246302 5517661736 6207369453 8276492604 11035323472 12414738906 16552985208 22070646944 24829477812 33105970416 49658955624 50348663341 66211940832 99317911248 100697326682 151045990023 198635822496 201394653364 302091980046 402789306728 453137970069 604183960092 805578613456 906275940138 1208367920184 1611157226912 1812551880276 2416735840368 3625103760552 4833471680736 7250207521104 14500415042208