Search a number
-
+
1043444244400 = 245217321747699
BaseRepresentation
bin11110010111100100001…
…11111001111110110000
310200202022102102201001221
433023302013321332300
5114043433211310100
62115203543234424
7135246343510465
oct17136207717660
93622272381057
101043444244400
11372582089808
1214a287448a14
137751ca9562c
143870821b66c
151c2207e501a
hexf2f21f9fb0

1043444244400 has 120 divisors (see below), whose sum is σ = 2655218782800. Its totient is φ = 392695726080.

The previous prime is 1043444244373. The next prime is 1043444244407. The reversal of 1043444244400 is 44424443401.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1043444244407) 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, 21851751 + ... + 21899449.

It is an arithmetic number, because the mean of its divisors is an integer number (22126823190).

Almost surely, 21043444244400 is an apocalyptic number.

1043444244400 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 1043444244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327609391400).

1043444244400 is an abundant number, since it is smaller than the sum of its proper divisors (1611774538400).

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

1043444244400 is a wasteful number, since it uses less digits than its factorization.

1043444244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50951 (or 50940 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 1043444244400 its reverse (44424443401), we get a palindrome (1087868687801).

The spelling of 1043444244400 in words is "one trillion, forty-three billion, four hundred forty-four million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3217 3400 6434 6800 12868 16085 25736 32170 47699 51472 54689 64340 80425 95398 109378 128680 160850 190796 218756 238495 257360 273445 321700 381592 437512 476990 546890 643400 763184 810883 875024 953980 1093780 1192475 1286800 1367225 1621766 1907960 2187560 2384950 2734450 3243532 3815920 4054415 4375120 4769900 5468900 6487064 8108830 9539800 10937800 12974128 16217660 19079600 20272075 21875600 32435320 40544150 64870640 81088300 153447683 162176600 306895366 324353200 613790732 767238415 1227581464 1534476830 2455162928 2608610611 3068953660 3836192075 5217221222 6137907320 7672384150 10434442444 12275814640 13043053055 15344768300 20868884888 26086106110 30689536600 41737769776 52172212220 61379073200 65215265275 104344424440 130430530550 208688848880 260861061100 521722122200 1043444244400