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44414222201040 = 2435199739961009
BaseRepresentation
bin10100001100100111111011…
…11011111111000011010000
312211020221212111202202100010
422012103331323333003100
521310140311340413130
6234243340105354520
712232551554500626
oct1206237573770320
9184227774682303
1044414222201040
1113173a6961319a
124b93935198a40
131ba232136b8b3
14ad79347b5516
155204b0e960b0
hex2864fdeff0d0

44414222201040 has 80 divisors (see below), whose sum is σ = 144930619828800. Its totient is φ = 11220435081216.

The previous prime is 44414222201039. The next prime is 44414222201047. The reversal of 44414222201040 is 4010222241444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44414222200989 and 44414222201007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44414222201047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4869975945 + ... + 4869985064.

It is an arithmetic number, because the mean of its divisors is an integer number (1811632747860).

Almost surely, 244414222201040 is an apocalyptic number.

44414222201040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44414222201040 is an abundant number, since it is smaller than the sum of its proper divisors (100516397627760).

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

44414222201040 is a wasteful number, since it uses less digits than its factorization.

44414222201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9739961044 (or 9739961038 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 44414222201040 its reverse (4010222241444), we get a palindrome (48424444442484).

The spelling of 44414222201040 in words is "forty-four trillion, four hundred fourteen billion, two hundred twenty-two million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 9739961009 19479922018 29219883027 38959844036 48699805045 58439766054 77919688072 97399610090 116879532108 146099415135 155839376144 185059259171 194799220180 233759064216 292198830270 370118518342 389598440360 467518128432 555177777513 584397660540 740237036684 779196880720 925296295855 1110355555026 1168795321080 1480474073368 1850592591710 2220711110052 2337590642160 2775888887565 2960948146736 3701185183420 4441422220104 5551777775130 7402370366840 8882844440208 11103555550260 14804740733680 22207111100520 44414222201040