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244030201400 = 235216367711057
BaseRepresentation
bin1110001101000101010…
…1010101111000111000
3212022212212212122222102
43203101111111320320
512444233212421100
6304034514042532
723426203326056
oct3432125257070
9768785778872
10244030201400
11945467611a7
123b365279448
131a02033899b
14bb4da251d6
156533b99cd5
hex38d1555e38

244030201400 has 96 divisors (see below), whose sum is σ = 571745928240. Its totient is φ = 96861173760.

The previous prime is 244030201351. The next prime is 244030201403. The reversal of 244030201400 is 4102030442.

244030201400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244030201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22064672 + ... + 22075728.

Almost surely, 2244030201400 is an apocalyptic number.

244030201400 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 244030201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285872964120).

244030201400 is an abundant number, since it is smaller than the sum of its proper divisors (327715726840).

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

244030201400 is a wasteful number, since it uses less digits than its factorization.

244030201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11913 (or 11904 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 244030201400 its reverse (4102030442), we get a palindrome (248132231842).

The spelling of 244030201400 in words is "two hundred forty-four billion, thirty million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 677 815 1304 1354 1630 2708 3260 3385 4075 5416 6520 6770 8150 11057 13540 16300 16925 22114 27080 32600 33850 44228 55285 67700 88456 110351 110570 135400 220702 221140 276425 441404 442280 551755 552850 882808 1103510 1105700 1802291 2207020 2211400 2758775 3604582 4414040 5517550 7209164 7485589 9011455 11035100 14418328 14971178 18022910 22070200 29942356 36045820 37427945 45057275 59884712 72091640 74855890 90114550 149711780 180229100 187139725 299423560 360458200 374279450 748558900 1220151007 1497117800 2440302014 4880604028 6100755035 9761208056 12201510070 24403020140 30503775175 48806040280 61007550350 122015100700 244030201400