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244024440133100 = 225211598737053683
BaseRepresentation
bin110111011111000001011110…
…000100100001010111101100
31012000000111201210200011121212
4313133001132010201113230
5223441044023133224400
62222555140304413552
7102254120053161014
oct6737013604412754
91160014653604555
10244024440133100
11708322028297a0
12234516a33172b8
13a621537ba1c93
144438bbb2c8c44
151d329806e7335
hexddf05e1215ec

244024440133100 has 72 divisors (see below), whose sum is σ = 577768905298368. Its totient is φ = 88721336180800.

The previous prime is 244024440133081. The next prime is 244024440133139. The reversal of 244024440133100 is 1331044420442.

It is a super-2 number, since 2×2440244401331002 (a number of 30 digits) contains 22 as substring.

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, 11941142 + ... + 25112541.

It is an arithmetic number, because the mean of its divisors is an integer number (8024568129144).

Almost surely, 2244024440133100 is an apocalyptic number.

244024440133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244024440133100 is an abundant number, since it is smaller than the sum of its proper divisors (333744465165268).

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

244024440133100 is a wasteful number, since it uses less digits than its factorization.

244024440133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37059695 (or 37059688 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 244024440133100 its reverse (1331044420442), we get a palindrome (245355484553542).

The spelling of 244024440133100 in words is "two hundred forty-four trillion, twenty-four billion, four hundred forty million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 5987 11974 23948 29935 59870 65857 119740 131714 149675 263428 299350 329285 598700 658570 1317140 1646425 3292850 6585700 37053683 74107366 148214732 185268415 370536830 407590513 741073660 815181026 926342075 1630362052 1852684150 2037952565 3705368300 4075905130 8151810260 10189762825 20379525650 40759051300 221840400121 443680800242 887361600484 1109202000605 2218404001210 2440244401331 4436808002420 4880488802662 5546010003025 9760977605324 11092020006050 12201222006655 22184040012100 24402444013310 48804888026620 61006110033275 122012220066550 244024440133100