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44413444240240 = 2455961359429683
BaseRepresentation
bin10100001100100110011111…
…00100010011001101110000
312211020212212021220020202011
422012103033210103031300
521310132213211141430
6234243130555132304
712232523360105425
oct1206231744231560
9184225767806664
1044413444240240
11131736aa465789
124b93758744094
131ba222913436a
14ad789d345d4c
15520467a2422a
hex2864cf913370

44413444240240 has 160 divisors (see below), whose sum is σ = 107030503180800. Its totient is φ = 17130080732160.

The previous prime is 44413444240177. The next prime is 44413444240273. The reversal of 44413444240240 is 4204244431444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 44413444240193 and 44413444240202.

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, 103148439 + ... + 103578121.

It is an arithmetic number, because the mean of its divisors is an integer number (668940644880).

Almost surely, 244413444240240 is an apocalyptic number.

44413444240240 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 44413444240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53515251590400).

44413444240240 is an abundant number, since it is smaller than the sum of its proper divisors (62617058940560).

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

44413444240240 is a wasteful number, since it uses less digits than its factorization.

44413444240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430175 (or 430169 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 44413444240240 its reverse (4204244431444), we get a palindrome (48617688671684).

The spelling of 44413444240240 in words is "forty-four trillion, four hundred thirteen billion, four hundred forty-four million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 61 80 118 122 236 244 295 305 359 472 488 590 610 718 944 976 1180 1220 1436 1795 2360 2440 2872 3590 3599 4720 4880 5744 7180 7198 14360 14396 17995 21181 21899 28720 28792 35990 42362 43798 57584 71980 84724 87596 105905 109495 143960 169448 175192 211810 218990 287920 338896 350384 423620 429683 437980 847240 859366 875960 1292041 1694480 1718732 1751920 2148415 2584082 3437464 4296830 5168164 6460205 6874928 8593660 10336328 12920410 17187320 20672656 25351297 25840820 26210663 34374640 50702594 51681640 52421326 101405188 103363280 104842652 126756485 131053315 154256197 202810376 209685304 253512970 262106630 308512394 405620752 419370608 507025940 524213260 617024788 771280985 1014051880 1048426520 1234049576 1542561970 1546429117 2028103760 2096853040 2468099152 3085123940 3092858234 6170247880 6185716468 7732145585 9101115623 9409628017 12340495760 12371432936 15464291170 18202231246 18819256034 24742865872 30928582340 36404462492 37638512068 45505578115 47048140085 61857164680 72808924984 75277024136 91011156230 94096280170 123714329360 145617849968 150554048272 182022312460 188192560340 364044624920 376385120680 555168053003 728089249840 752770241360 1110336106006 2220672212012 2775840265015 4441344424024 5551680530030 8882688848048 11103361060060 22206722120120 44413444240240