Search a number
-
+
14412002500 = 225478
BaseRepresentation
bin11010110110000010…
…11011010011000100
31101012101201120202101
431123001123103010
5214003433040000
610342031121444
71020100000000
oct153301332304
941171646671
1014412002500
116126221875
122962673284
131488a9363c
149aa0c3700
155953b7e6a
hex35b05b4c4

14412002500 has 135 divisors (see below), whose sum is σ = 36768860667. Its totient is φ = 4941258000.

The previous prime is 14412002489. The next prime is 14412002519. The reversal of 14412002500 is 520021441.

The square root of 14412002500 is 120050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1129900996 + 13282101504 = 33614^2 + 115248^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=245.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2058857497 + ... + 2058857503.

Almost surely, 214412002500 is an apocalyptic number.

14412002500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14412002500 is the 120050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14412002500

14412002500 is an abundant number, since it is smaller than the sum of its proper divisors (22356858167).

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

14412002500 is an frugal number, since it uses more digits than its factorization.

14412002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 14412002500 its reverse (520021441), we get a palindrome (14932023941).

The spelling of 14412002500 in words is "fourteen billion, four hundred twelve million, two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 343 350 490 500 625 686 700 875 980 1225 1250 1372 1715 1750 2401 2450 2500 3430 3500 4375 4802 4900 6125 6860 8575 8750 9604 12005 12250 16807 17150 17500 24010 24500 30625 33614 34300 42875 48020 60025 61250 67228 84035 85750 117649 120050 122500 168070 171500 214375 235298 240100 300125 336140 420175 428750 470596 588245 600250 823543 840350 857500 1176490 1200500 1500625 1647086 1680700 2100875 2352980 2941225 3001250 3294172 4117715 4201750 5764801 5882450 6002500 8235430 8403500 10504375 11529602 11764900 14706125 16470860 20588575 21008750 23059204 28824005 29412250 41177150 42017500 57648010 58824500 73530625 82354300 102942875 115296020 144120025 147061250 205885750 288240050 294122500 411771500 514714375 576480100 720600125 1029428750 1441200250 2058857500 2882400500 3603000625 7206001250 14412002500