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244240004000 = 2553241253361
BaseRepresentation
bin1110001101110111010…
…1101011001110100000
3212100102111122202001002
43203131311223032200
513000200420112000
6304111410531132
723434331531336
oct3433565531640
9770374582032
10244240004000
1194644129a83
123b403596aa8
131a054945a35
14bb6d839b56
1565472dd8d5
hex38ddd6b3a0

244240004000 has 96 divisors (see below), whose sum is σ = 602590100112. Its totient is φ = 97290240000.

The previous prime is 244240003991. The next prime is 244240004023. The reversal of 244240004000 is 400042442.

244240004000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6341892496 + 237898111504 = 79636^2 + 487748^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837320 + ... + 1090680.

Almost surely, 2244240004000 is an apocalyptic number.

244240004000 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 244240004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301295050056).

244240004000 is an abundant number, since it is smaller than the sum of its proper divisors (358350096112).

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

244240004000 is a wasteful number, since it uses less digits than its factorization.

244240004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253627 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 244240004000 its reverse (400042442), we get a palindrome (244640046442).

The spelling of 244240004000 in words is "two hundred forty-four billion, two hundred forty million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 241 250 400 482 500 800 964 1000 1205 1928 2000 2410 3856 4000 4820 6025 7712 9640 12050 19280 24100 30125 38560 48200 60250 96400 120500 192800 241000 253361 482000 506722 964000 1013444 1266805 2026888 2533610 4053776 5067220 6334025 8107552 10134440 12668050 20268880 25336100 31670125 40537760 50672200 61060001 63340250 101344400 122120002 126680500 202688800 244240004 253361000 305300005 488480008 506722000 610600010 976960016 1013444000 1221200020 1526500025 1953920032 2442400040 3053000050 4884800080 6106000100 7632500125 9769600160 12212000200 15265000250 24424000400 30530000500 48848000800 61060001000 122120002000 244240004000