Search a number
-
+
20003030440400 = 2452715745502799
BaseRepresentation
bin1001000110001010100011…
…00001100001100111010000
32121211021022120202211101002
410203011101201201213100
510110212201243043100
6110313133151001132
74133112512236040
oct443052141414720
977737276684332
1020003030440400
116412268229837
1222b087a5091a8
13b2137c095837
144d221a909720
1524a4d0e3e2d5
hex1231518619d0

20003030440400 has 120 divisors (see below), whose sum is σ = 55272433171200. Its totient is φ = 6814499028480.

The previous prime is 20003030440381. The next prime is 20003030440423. The reversal of 20003030440400 is 404403030002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22311800 + ... + 23190999.

It is an arithmetic number, because the mean of its divisors is an integer number (460603609760).

Almost surely, 220003030440400 is an apocalyptic number.

20003030440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20003030440400 is an abundant number, since it is smaller than the sum of its proper divisors (35269402730800).

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

20003030440400 is a wasteful number, since it uses less digits than its factorization.

20003030440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45502981 (or 45502970 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 20003030440400 its reverse (404403030002), we get a palindrome (20407433470402).

The spelling of 20003030440400 in words is "twenty trillion, three billion, thirty million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 157 175 200 280 314 350 400 560 628 700 785 1099 1256 1400 1570 2198 2512 2800 3140 3925 4396 5495 6280 7850 8792 10990 12560 15700 17584 21980 27475 31400 43960 54950 62800 87920 109900 219800 439600 45502799 91005598 182011196 227513995 318519593 364022392 455027990 637039186 728044784 910055980 1137569975 1274078372 1592597965 1820111960 2275139950 2548156744 3185195930 3640223920 4550279900 5096313488 6370391860 7143939443 7962989825 9100559800 12740783720 14287878886 15925979650 18201119600 25481567440 28575757772 31851959300 35719697215 50007576101 57151515544 63703918600 71439394430 100015152202 114303031088 127407837200 142878788860 178598486075 200030304404 250037880505 285757577720 357196972150 400060608808 500075761010 571515155440 714393944300 800121217616 1000151522020 1250189402525 1428787888600 2000303044040 2500378805050 2857575777200 4000606088080 5000757610100 10001515220200 20003030440400