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244204314500 = 225310128117209
BaseRepresentation
bin1110001101101110110…
…1100001111110000100
3212100100000111112020202
43203123231201332010
513000112301031000
6304104053550032
723433416265326
oct3433355417604
9770300445222
10244204314500
1194625a72a23
123b3b3645318
131a04a42b1a3
14bb68bc9616
1565440dddd5
hex38dbb61f84

244204314500 has 96 divisors (see below), whose sum is σ = 540571056480. Its totient is φ = 96364800000.

The previous prime is 244204314481. The next prime is 244204314511. The reversal of 244204314500 is 5413402442.

It can be written as a sum of positive squares in 16 ways, for example, as 86766771844 + 157437542656 = 294562^2 + 396784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14181896 + ... + 14199104.

It is an arithmetic number, because the mean of its divisors is an integer number (5630948505).

Almost surely, 2244204314500 is an apocalyptic number.

244204314500 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 244204314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270285528240).

244204314500 is an abundant number, since it is smaller than the sum of its proper divisors (296366741980).

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

244204314500 is a wasteful number, since it uses less digits than its factorization.

244204314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17610 (or 17598 counting only the distinct ones).

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

Adding to 244204314500 its reverse (5413402442), we get a palindrome (249617716942).

The spelling of 244204314500 in words is "two hundred forty-four billion, two hundred four million, three hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 250 281 404 500 505 562 1010 1124 1405 2020 2525 2810 5050 5620 7025 10100 12625 14050 17209 25250 28100 28381 34418 35125 50500 56762 68836 70250 86045 113524 140500 141905 172090 283810 344180 430225 567620 709525 860450 1419050 1720900 1738109 2151125 2838100 3476218 3547625 4302250 4835729 6952436 7095250 8604500 8690545 9671458 14190500 17381090 19342916 24178645 34762180 43452725 48357290 86905450 96714580 120893225 173810900 217263625 241786450 434527250 483572900 488408629 604466125 869054500 976817258 1208932250 1953634516 2417864500 2442043145 4884086290 9768172580 12210215725 24420431450 48840862900 61051078625 122102157250 244204314500