Search a number
-
+
2012444140300 = 22521112953141241
BaseRepresentation
bin11101010010001111000…
…001001010001100001100
321010101110200200200021021
4131102033001022030030
5230432441144442200
64140300514043524
7265252145644336
oct35221701121414
97111420620237
102012444140300
11706522286660
122860375795a4
13117a077236b9
146d58d482456
153753573041a
hex1d48f04a30c

2012444140300 has 72 divisors (see below), whose sum is σ = 4764405652272. Its totient is φ = 731736192000.

The previous prime is 2012444140243. The next prime is 2012444140307. The reversal of 2012444140300 is 30414442102.

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

It is not an unprimeable number, because it can be changed into a prime (2012444140307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14177680 + ... + 14318920.

It is an arithmetic number, because the mean of its divisors is an integer number (66172300726).

Almost surely, 22012444140300 is an apocalyptic number.

2012444140300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012444140300 is an abundant number, since it is smaller than the sum of its proper divisors (2751961511972).

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

2012444140300 is a wasteful number, since it uses less digits than its factorization.

2012444140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154219 (or 154212 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2012444140300 its reverse (30414442102), we get a palindrome (2042858582402).

The spelling of 2012444140300 in words is "two trillion, twelve billion, four hundred forty-four million, one hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 12953 25906 51812 64765 129530 141241 142483 259060 282482 284966 323825 564964 569932 647650 706205 712415 1295300 1412410 1424830 1553651 2824820 2849660 3107302 3531025 3562075 6214604 7062050 7124150 7768255 14124100 14248300 15536510 31073020 38841275 77682550 155365100 1829494673 3658989346 7317978692 9147473365 18294946730 20124441403 36589893460 40248882806 45737366825 80497765612 91474733650 100622207015 182949467300 201244414030 402488828060 503111035075 1006222070150 2012444140300