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44351242250240 = 211525391705859
BaseRepresentation
bin10100001010110010101000…
…00010100010100000000000
312211000221022022212202120202
422011121110002202200000
521303122321004001430
6234154402430424332
712225162061653002
oct1205312402424000
9184027268782522
1044351242250240
111314a290019a82
124b836993620a8
131b993c5429b13
14ad487c258372
1551da26d0ed45
hex2856540a2800

44351242250240 has 96 divisors (see below), whose sum is σ = 106458969708000. Its totient is φ = 17733499305984.

The previous prime is 44351242250213. The next prime is 44351242250291. The reversal of 44351242250240 is 4205224215344.

It is a junction number, because it is equal to n+sod(n) for n = 44351242250194 and 44351242250203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25146431 + ... + 26852289.

It is an arithmetic number, because the mean of its divisors is an integer number (1108947601125).

Almost surely, 244351242250240 is an apocalyptic number.

44351242250240 is a gapful number since it is divisible by the number (40) 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 44351242250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53229484854000).

44351242250240 is an abundant number, since it is smaller than the sum of its proper divisors (62107727457760).

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

44351242250240 is a wasteful number, since it uses less digits than its factorization.

44351242250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708425 (or 1708405 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 44351242250240 its reverse (4205224215344), we get a palindrome (48556466465584).

The spelling of 44351242250240 in words is "forty-four trillion, three hundred fifty-one billion, two hundred forty-two million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2539 2560 5078 5120 10156 10240 12695 20312 25390 40624 50780 81248 101560 162496 203120 324992 406240 649984 812480 1299968 1624960 1705859 2599936 3249920 3411718 5199872 6499840 6823436 8529295 12999680 13646872 17058590 25999360 27293744 34117180 54587488 68234360 109174976 136468720 218349952 272937440 436699904 545874880 873399808 1091749760 1746799616 2183499520 3493599232 4331176001 4366999040 8662352002 8733998080 17324704004 17467996160 21655880005 34649408008 43311760010 69298816016 86623520020 138597632032 173247040040 277195264064 346494080080 554390528128 692988160160 1108781056256 1385976320320 2217562112512 2771952640640 4435124225024 5543905281280 8870248450048 11087810562560 22175621125120 44351242250240