Search a number
-
+
12013144143000 = 2335372113134723
BaseRepresentation
bin1010111011010000011100…
…1100000111010010011000
31120112110000200002202021120
42232310013030013102120
53033310404400034000
641314432350405240
72346630624254100
oct256640714072230
946473020082246
1012013144143000
113911822761000
121420289800820
13691ab08bc5b0
142d762154a200
1515c751d466a0
hexaed07307498

12013144143000 has 1536 divisors, whose sum is σ = 51657062446080. Its totient is φ = 2303731584000.

The previous prime is 12013144142963. The next prime is 12013144143019. The reversal of 12013144143000 is 34144131021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2543538639 + ... + 2543543361.

It is an arithmetic number, because the mean of its divisors is an integer number (33630900030).

Almost surely, 212013144143000 is an apocalyptic number.

12013144143000 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 12013144143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25828531223040).

12013144143000 is an abundant number, since it is smaller than the sum of its proper divisors (39643918303080).

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

12013144143000 is a wasteful number, since it uses less digits than its factorization.

12013144143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12013144143000 its reverse (34144131021), we get a palindrome (12047288274021).

The spelling of 12013144143000 in words is "twelve trillion, thirteen billion, one hundred forty-four million, one hundred forty-three thousand".