Search a number
-
+
14119106851600 = 24521878772
BaseRepresentation
bin1100110101110101110001…
…0110010011001100010000
31211222202212211110220222121
43031131130112103030100
53322311412323222400
650010121140144024
72655033426031552
oct315353426231420
954882784426877
1014119106851600
114553974808133
121700464398014
137b55700a342a
1436b522d1d4d2
1519740c77c21a
hexcd75c593310

14119106851600 has 45 divisors (see below), whose sum is σ = 33921334761727. Its totient is φ = 5647612680320.

The previous prime is 14119106851589. The next prime is 14119106851609. The reversal of 14119106851600 is 615860191141.

It is a happy number.

The square root of 14119106851600 is 3757540.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2462727598864 + 11656379252736 = 1569308^2 + 3414144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14119106851609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75056862 + ... + 75244738.

Almost surely, 214119106851600 is an apocalyptic number.

14119106851600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14119106851600 is the 3757540-th square number.

It is an amenable number.

14119106851600 is an abundant number, since it is smaller than the sum of its proper divisors (19802227910127).

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

14119106851600 is an frugal number, since it uses more digits than its factorization.

14119106851600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375772 (or 187884 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 43.

The spelling of 14119106851600 in words is "fourteen trillion, one hundred nineteen billion, one hundred six million, eight hundred fifty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 187877 375754 751508 939385 1503016 1878770 3006032 3757540 4696925 7515080 9393850 15030160 18787700 37575400 75150800 35297767129 70595534258 141191068516 176488835645 282382137032 352977671290 564764274064 705955342580 882444178225 1411910685160 1764888356450 2823821370320 3529776712900 7059553425800 14119106851600