Search a number
-
+
10044044400 = 2435213643849
BaseRepresentation
bin10010101101010101…
…11111010001110000
3221220222122022200110
421112222333101300
5131032233410100
64340354421320
7503620653165
oct112652772160
927828568613
1010044044400
114294668245
121b43891840
13c40b6bb50
146b3d4a06c
153dbbad250
hex256abf470

10044044400 has 120 divisors (see below), whose sum is σ = 34649431600. Its totient is φ = 2472376320.

The previous prime is 10044044393. The next prime is 10044044407. The reversal of 10044044400 is 444044001.

It is an interprime number because it is at equal distance from previous prime (10044044393) and next prime (10044044407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044044407) 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, 306325 + ... + 337524.

Almost surely, 210044044400 is an apocalyptic number.

10044044400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044044400 is an abundant number, since it is smaller than the sum of its proper divisors (24605387200).

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

10044044400 is a wasteful number, since it uses less digits than its factorization.

10044044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643883 (or 643872 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10044044400 its reverse (444044001), we get a palindrome (10488088401).

It can be divided in two parts, 1004 and 4044400, that added together give a palindrome (4045404).

The spelling of 10044044400 in words is "ten billion, forty-four million, forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 643849 1287698 1931547 2575396 3219245 3863094 5150792 6438490 7726188 8370037 9657735 10301584 12876980 15452376 16096225 16740074 19315470 25110111 25753960 30904752 32192450 33480148 38630940 41850185 48288675 50220222 51507920 64384900 66960296 77261880 83700370 96577350 100440444 125550555 128769800 133920592 154523760 167400740 193154700 200880888 209250925 251101110 257539600 334801480 386309400 401761776 418501850 502202220 627752775 669602960 772618800 837003700 1004404440 1255505550 1674007400 2008808880 2511011100 3348014800 5022022200 10044044400