Search a number
-
+
314011545780100 = 22527448587922543
BaseRepresentation
bin100011101100101111000001…
…0101001000011111110000100
31112011211012200112021221101211
41013121132002221003332010
5312124231121204430400
63031502525045301204
7123066404555511130
oct10731360251037604
91464735615257354
10314011545780100
1191065604368633
122b27565b404804
131062a214376bbc
1457783504463c0
1526482631a8dba
hex11d9782a43f84

314011545780100 has 36 divisors (see below), whose sum is σ = 778748633536384. Its totient is φ = 107661101410080.

The previous prime is 314011545780077. The next prime is 314011545780103. The reversal of 314011545780100 is 1087545110413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (314011545780103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224293960572 + ... + 224293961971.

Almost surely, 2314011545780100 is an apocalyptic number.

It is an amenable number.

314011545780100 is an abundant number, since it is smaller than the sum of its proper divisors (464737087756284).

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

314011545780100 is a wasteful number, since it uses less digits than its factorization.

314011545780100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448587922564 (or 448587922557 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 314011545780100 in words is "three hundred fourteen trillion, eleven billion, five hundred forty-five million, seven hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 448587922543 897175845086 1794351690172 2242939612715 3140115457801 4485879225430 6280230915602 8971758450860 11214698063575 12560461831204 15700577289005 22429396127150 31401154578010 44858792254300 62802309156020 78502886445025 157005772890050 314011545780100