Search a number
-
+
14840112400 = 245260912
BaseRepresentation
bin11011101001000101…
…00010010100010000
31102022020021211010121
431310202202110100
5220343032044100
610452323040024
71033515605551
oct156442422420
942266254117
1014840112400
116325947103
122a61b10014
1315266977c9
14a0acc4328
155bcc8051a
hex3748a2510

14840112400 has 45 divisors (see below), whose sum is σ = 35659224453. Its totient is φ = 5935070400.

The previous prime is 14840112361. The next prime is 14840112407. The reversal of 14840112400 is 421104841.

The square root of 14840112400 is 121820.

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

It can be written as a sum of positive squares in only one way, i.e., 5342440464 + 9497671936 = 73092^2 + 97456^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14840112407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2433355 + ... + 2439445.

Almost surely, 214840112400 is an apocalyptic number.

14840112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14840112400 is the 121820-th square number.

It is an amenable number.

14840112400 is an abundant number, since it is smaller than the sum of its proper divisors (20819112053).

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

14840112400 is an frugal number, since it uses more digits than its factorization.

14840112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Multiplying 14840112400 by its sum of digits (25), we get a square (371002810000 = 6091002).

14840112400 divided by its sum of digits (25) gives a square (593604496 = 243642).

Multiplying 14840112400 by its product of nonzero digits (1024), we get a square (15196275097600 = 38982402).

It can be divided in two parts, 148401 and 12400, that added together give a square (160801 = 4012).

The spelling of 14840112400 in words is "fourteen billion, eight hundred forty million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6091 12182 24364 30455 48728 60910 97456 121820 152275 243640 304550 487280 609100 1218200 2436400 37100281 74200562 148401124 185501405 296802248 371002810 593604496 742005620 927507025 1484011240 1855014050 2968022480 3710028100 7420056200 14840112400