Search a number
-
+
12144215400 = 23352110918251
BaseRepresentation
bin10110100111101101…
…00000010101101000
31011100100111001200120
423103312200111220
5144332404343100
65325020403240
7606642061542
oct132366402550
934310431616
1012144215400
115172102859
12242b0a6520
1311b6cb9795
14832c3c692
154b125b0a0
hex2d3da0568

12144215400 has 96 divisors (see below), whose sum is σ = 37683079200. Its totient is φ = 3235360000.

The previous prime is 12144215399. The next prime is 12144215417. The reversal of 12144215400 is 451244121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656275 + ... + 674525.

It is an arithmetic number, because the mean of its divisors is an integer number (392532075).

Almost surely, 212144215400 is an apocalyptic number.

12144215400 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 12144215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18841539600).

12144215400 is an abundant number, since it is smaller than the sum of its proper divisors (25538863800).

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

12144215400 is a wasteful number, since it uses less digits than its factorization.

12144215400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19379 (or 19370 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 12144215400 its reverse (451244121), we get a palindrome (12595459521).

The spelling of 12144215400 in words is "twelve billion, one hundred forty-four million, two hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1109 2218 3327 4436 5545 6654 8872 11090 13308 16635 18251 22180 26616 27725 33270 36502 44360 54753 55450 66540 73004 83175 91255 109506 110900 133080 146008 166350 182510 219012 221800 273765 332700 365020 438024 456275 547530 665400 730040 912550 1095060 1368825 1825100 2190120 2737650 3650200 5475300 10950600 20240359 40480718 60721077 80961436 101201795 121442154 161922872 202403590 242884308 303605385 404807180 485768616 506008975 607210770 809614360 1012017950 1214421540 1518026925 2024035900 2428843080 3036053850 4048071800 6072107700 12144215400