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244234051400 = 235223181293339
BaseRepresentation
bin1110001101110101111…
…0111101111101001000
3212100102002110022121102
43203131132331331020
513000142404121100
6304111035200532
723434230116663
oct3433536757510
9770362408542
10244234051400
1194640833779
123b4015a6148
131a0536404a1
14bb6cb2a6da
156546a14cd5
hex38dd7bdf48

244234051400 has 96 divisors (see below), whose sum is σ = 595808740800. Its totient is φ = 92929478400.

The previous prime is 244234051393. The next prime is 244234051427. The reversal of 244234051400 is 4150432442.

244234051400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 685931 + ... + 979269.

It is an arithmetic number, because the mean of its divisors is an integer number (6206341050).

Almost surely, 2244234051400 is an apocalyptic number.

244234051400 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 244234051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297904370400).

244234051400 is an abundant number, since it is smaller than the sum of its proper divisors (351574689400).

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

244234051400 is a wasteful number, since it uses less digits than its factorization.

244234051400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293559 (or 293550 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 244234051400 its reverse (4150432442), we get a palindrome (248384483842).

The spelling of 244234051400 in words is "two hundred forty-four billion, two hundred thirty-four million, fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 181 184 200 230 362 460 575 724 905 920 1150 1448 1810 2300 3620 4163 4525 4600 7240 8326 9050 16652 18100 20815 33304 36200 41630 83260 104075 166520 208150 293339 416300 586678 832600 1173356 1466695 2346712 2933390 5866780 6746797 7333475 11733560 13493594 14666950 26987188 29333900 33733985 53094359 53974376 58667800 67467970 106188718 134935940 168669925 212377436 265471795 269871880 337339850 424754872 530943590 674679700 1061887180 1221170257 1327358975 1349359400 2123774360 2442340514 2654717950 4884681028 5309435900 6105851285 9769362056 10618871800 12211702570 24423405140 30529256425 48846810280 61058512850 122117025700 244234051400