Search a number
-
+
2440044420200 = 2352611315915199
BaseRepresentation
bin100011100000011101111…
…110110001110001101000
322122021011220001112111222
4203200131332301301220
5304434202332421300
65104535124041212
7341200401234602
oct43403576616150
98567156045458
102440044420200
118608a9510832
12334a91b33208
131491312086ba
14861550a4172
1543710234785
hex2381dfb1c68

2440044420200 has 96 divisors (see below), whose sum is σ = 5766922560000. Its totient is φ = 959881363200.

The previous prime is 2440044420197. The next prime is 2440044420227. The reversal of 2440044420200 is 20244400442.

2440044420200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2440044420200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160532201 + ... + 160547399.

It is an arithmetic number, because the mean of its divisors is an integer number (60072110000).

Almost surely, 22440044420200 is an apocalyptic number.

2440044420200 is a gapful number since it is divisible by the number (20) 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 2440044420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883461280000).

2440044420200 is an abundant number, since it is smaller than the sum of its proper divisors (3326878139800).

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

2440044420200 is a wasteful number, since it uses less digits than its factorization.

2440044420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28435 (or 28426 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2440044420200 its reverse (20244400442), we get a palindrome (2460288820642).

The spelling of 2440044420200 in words is "two trillion, four hundred forty billion, forty-four million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 13159 15199 26318 30398 52636 60796 65795 75995 105272 121592 131590 151990 263180 303980 328975 379975 526360 607960 657950 759950 802699 927139 1315900 1519900 1605398 1854278 2631800 3039800 3210796 3708556 4013495 4635695 6421592 7417112 8026990 9271390 16053980 18542780 20067475 23178475 32107960 37085560 40134950 46356950 80269900 92713900 160539800 185427800 200003641 400007282 800014564 1000018205 1600029128 2000036410 4000072820 5000091025 8000145640 10000182050 12200222101 20000364100 24400444202 40000728200 48800888404 61001110505 97601776808 122002221010 244004442020 305005552525 488008884040 610011105050 1220022210100 2440044420200