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244000054400 = 2752151504967
BaseRepresentation
bin1110001100111110001…
…0010101110010000000
3212022210210011001001212
43203033202111302000
512444203003220100
6304031515545252
723425356145664
oct3431742256200
9768723131055
10244000054400
1194530740323
123b35715b228
131a017011b1b
14bb49a188a4
1565311e2635
hex38cf895c80

244000054400 has 96 divisors (see below), whose sum is σ = 606749350080. Its totient is φ = 96953472000.

The previous prime is 244000054379. The next prime is 244000054429. The reversal of 244000054400 is 4450000442.

244000054400 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230717 + ... + 735683.

It is an arithmetic number, because the mean of its divisors is an integer number (6320305730).

Almost surely, 2244000054400 is an apocalyptic number.

244000054400 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 244000054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303374675040).

244000054400 is an abundant number, since it is smaller than the sum of its proper divisors (362749295680).

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

244000054400 is a wasteful number, since it uses less digits than its factorization.

244000054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505142 (or 505125 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 244000054400 its reverse (4450000442), we get a palindrome (248450054842).

The spelling of 244000054400 in words is "two hundred forty-four billion, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 151 160 200 302 320 400 604 640 755 800 1208 1510 1600 2416 3020 3200 3775 4832 6040 7550 9664 12080 15100 19328 24160 30200 48320 60400 96640 120800 241600 483200 504967 1009934 2019868 2524835 4039736 5049670 8079472 10099340 12624175 16158944 20198680 25248350 32317888 40397360 50496700 64635776 76250017 80794720 100993400 152500034 161589440 201986800 305000068 323178880 381250085 403973600 610000136 762500170 807947200 1220000272 1525000340 1615894400 1906250425 2440000544 3050000680 3812500850 4880001088 6100001360 7625001700 9760002176 12200002720 15250003400 24400005440 30500006800 48800010880 61000013600 122000027200 244000054400