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244122112240 = 24523613316571
BaseRepresentation
bin1110001101011011001…
…1111101000011110000
3212100010021211012221121
43203112303331003300
512444430230042430
6304052000032024
723431400500516
oct3432663750360
9770107735847
10244122112240
1194593628176
123b390002614
131a0363a95b6
14bb5bd0c4b6
15653bca2a7a
hex38d6cfd0f0

244122112240 has 160 divisors (see below), whose sum is σ = 603881206272. Its totient is φ = 91580544000.

The previous prime is 244122112211. The next prime is 244122112261. The reversal of 244122112240 is 42211221442.

It is a congruent number.

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, 37148155 + ... + 37154725.

Almost surely, 2244122112240 is an apocalyptic number.

244122112240 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 244122112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301940603136).

244122112240 is an abundant number, since it is smaller than the sum of its proper divisors (359759094032).

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

244122112240 is a wasteful number, since it uses less digits than its factorization.

244122112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 244122112240 its reverse (42211221442), we get a palindrome (286333333682).

The spelling of 244122112240 in words is "two hundred forty-four billion, one hundred twenty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 61 80 92 115 122 184 230 244 305 331 368 460 488 610 662 920 976 1220 1324 1403 1655 1840 2440 2648 2806 3310 4880 5296 5612 6571 6620 7015 7613 11224 13142 13240 14030 15226 20191 22448 26284 26480 28060 30452 32855 38065 40382 52568 56120 60904 65710 76130 80764 100955 105136 112240 121808 131420 151133 152260 161528 201910 262840 302266 304520 323056 400831 403820 464393 525680 604532 609040 755665 801662 807640 928786 1209064 1511330 1603324 1615280 1857572 2004155 2175001 2321965 2418128 3022660 3206648 3715144 4008310 4350002 4643930 6045320 6413296 7430288 8016620 8700004 9219113 9287860 10875005 12090640 16033240 17400008 18438226 18575720 21750010 32066480 34800016 36876452 37151440 43500020 46095565 50025023 73752904 87000040 92191130 100050046 132675061 147505808 174000080 184382260 200100092 250125115 265350122 368764520 400200184 500250230 530700244 663375305 737529040 800400368 1000500460 1061400488 1326750610 2001000920 2122800976 2653501220 3051526403 4002001840 5307002440 6103052806 10614004880 12206105612 15257632015 24412211224 30515264030 48824422448 61030528060 122061056120 244122112240