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1044324441400 = 235222727298429
BaseRepresentation
bin11110011001001101001…
…01100101110100111000
310200211120202200100100211
433030212211211310320
5114102234024111100
62115431145040504
7135310222200502
oct17144645456470
93624522610324
101044324441400
11372993a15849
1214a492186134
1377630247466
143878d0a0d72
151c272c0e1ba
hexf326965d38

1044324441400 has 96 divisors (see below), whose sum is σ = 2439933678000. Its totient is φ = 415687838720.

The previous prime is 1044324441383. The next prime is 1044324441401. The reversal of 1044324441400 is 41444234401.

It is a super-2 number, since 2×10443244414002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044324441401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123892386 + ... + 123900814.

Almost surely, 21044324441400 is an apocalyptic number.

1044324441400 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 1044324441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219966839000).

1044324441400 is an abundant number, since it is smaller than the sum of its proper divisors (1395609236600).

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

1044324441400 is a wasteful number, since it uses less digits than its factorization.

1044324441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401 (or 11392 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 1044324441400 its reverse (41444234401), we get a palindrome (1085768675801).

It can be divided in two parts, 10443244 and 41400, that added together give a square (10484644 = 32382).

The spelling of 1044324441400 in words is "one trillion, forty-four billion, three hundred twenty-four million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 227 454 908 1135 1816 2270 2729 4540 5458 5675 8429 9080 10916 11350 13645 16858 21832 22700 27290 33716 42145 45400 54580 67432 68225 84290 109160 136450 168580 210725 272900 337160 421450 545800 619483 842900 1238966 1685800 1913383 2477932 3097415 3826766 4955864 6194830 7653532 9566915 12389660 15307064 15487075 19133830 23002741 24779320 30974150 38267660 46005482 47834575 61948300 76535320 92010964 95669150 115013705 123896600 184021928 191338300 230027410 382676600 460054820 575068525 920109640 1150137050 2300274100 4600548200 5221622207 10443244414 20886488828 26108111035 41772977656 52216222070 104432444140 130540555175 208864888280 261081110350 522162220700 1044324441400