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14474499984 = 243374786541
BaseRepresentation
bin11010111101011111…
…10101011110010000
31101100202022210012000
431132233311132100
5214120432444414
610352142434000
71021456135260
oct153657653620
941322283160
1014474499984
11615852908a
12297b592900
131498a062b9
149b45117a0
1559ab10b09
hex35ebf5790

14474499984 has 80 divisors (see below), whose sum is σ = 47482496640. Its totient is φ = 4135570560.

The previous prime is 14474499983. The next prime is 14474499989. The reversal of 14474499984 is 48999447441.

14474499984 is a `hidden beast` number, since 14 + 47 + 4 + 499 + 98 + 4 = 666.

It is a super-2 number, since 2×144744999842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (14474499983) 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, 2390247 + ... + 2396294.

It is an arithmetic number, because the mean of its divisors is an integer number (593531208).

Almost surely, 214474499984 is an apocalyptic number.

14474499984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14474499984 is an abundant number, since it is smaller than the sum of its proper divisors (33007996656).

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

14474499984 is a wasteful number, since it uses less digits than its factorization.

14474499984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786565 (or 4786553 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 14474499984 in words is "fourteen billion, four hundred seventy-four million, four hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4786541 9573082 14359623 19146164 28719246 33505787 38292328 43078869 57438492 67011574 76584656 86157738 100517361 114876984 129236607 134023148 172315476 201034722 229753968 258473214 268046296 301552083 344630952 402069444 516946428 536092592 603104166 689261904 804138888 904656249 1033892856 1206208332 1608277776 1809312498 2067785712 2412416664 3618624996 4824833328 7237249992 14474499984