Search a number
-
+
14474350000 = 24551126317
BaseRepresentation
bin11010111101011110…
…10000110110110000
31101100202001011110001
431132233100312300
5214120413200000
610352135315344
71021454642065
oct153657206660
941322034401
1014474350000
116158436430
12297b51bb54
131498982c56
149b44b2c6c
1559aad146a
hex35ebd0db0

14474350000 has 120 divisors (see below), whose sum is σ = 38240896176. Its totient is φ = 5263200000.

The previous prime is 14474349941. The next prime is 14474350031. The reversal of 14474350000 is 5347441.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 536842 + ... + 563158.

Almost surely, 214474350000 is an apocalyptic number.

14474350000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14474350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19120448088).

14474350000 is an abundant number, since it is smaller than the sum of its proper divisors (23766546176).

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

14474350000 is an equidigital number, since it uses as much as digits as its factorization.

14474350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26361 (or 26335 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 14474350000 its reverse (5347441), we get a palindrome (14479697441).

The spelling of 14474350000 in words is "fourteen billion, four hundred seventy-four million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 3125 4400 5000 5500 6250 6875 10000 11000 12500 13750 22000 25000 26317 27500 34375 50000 52634 55000 68750 105268 110000 131585 137500 210536 263170 275000 289487 421072 526340 550000 578974 657925 1052680 1157948 1315850 1447435 2105360 2315896 2631700 2894870 3289625 4631792 5263400 5789740 6579250 7237175 10526800 11579480 13158500 14474350 16448125 23158960 26317000 28948700 32896250 36185875 52634000 57897400 65792500 72371750 82240625 115794800 131585000 144743500 164481250 180929375 263170000 289487000 328962500 361858750 578974000 657925000 723717500 904646875 1315850000 1447435000 1809293750 2894870000 3618587500 7237175000 14474350000