Search a number
-
+
1324401432400 = 245254711175419
BaseRepresentation
bin10011010001011100011…
…110100001011101010000
311200121111210221122122201
4103101130132201131100
5133144333231314100
62452231023012544
7164453621300614
oct23213436413520
94617453848581
101324401432400
11470748099552
1219481743a154
1397b76617037
144815c23d344
15246b62ae36a
hex1345c7a1750

1324401432400 has 120 divisors (see below), whose sum is σ = 3191133963680. Its totient is φ = 528221191680.

The previous prime is 1324401432391. The next prime is 1324401432439. The reversal of 1324401432400 is 42341044231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244396891 + ... + 244402309.

Almost surely, 21324401432400 is an apocalyptic number.

1324401432400 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 1324401432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595566981840).

1324401432400 is an abundant number, since it is smaller than the sum of its proper divisors (1866732531280).

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

1324401432400 is a wasteful number, since it uses less digits than its factorization.

1324401432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1324401432400 its reverse (42341044231), we get a palindrome (1366742476631).

The spelling of 1324401432400 in words is "one trillion, three hundred twenty-four billion, four hundred one million, four hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 547 1094 1117 2188 2234 2735 4376 4468 5419 5470 5585 8752 8936 10838 10940 11170 13675 17872 21676 21880 22340 27095 27350 27925 43352 43760 44680 54190 54700 55850 86704 89360 108380 109400 111700 135475 216760 218800 223400 270950 433520 446800 541900 610999 1083800 1221998 2167600 2443996 2964193 3054995 4887992 5928386 6053023 6109990 9775984 11856772 12106046 12219980 14820965 15274975 23713544 24212092 24439960 29641930 30265115 30549950 47427088 48424184 48879920 59283860 60530230 61099900 74104825 96848368 118567720 121060460 122199800 148209650 151325575 237135440 242120920 244399600 296419300 302651150 484241840 592838600 605302300 1185677200 1210604600 2421209200 3311003581 6622007162 13244014324 16555017905 26488028648 33110035810 52976057296 66220071620 82775089525 132440143240 165550179050 264880286480 331100358100 662200716200 1324401432400