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444406425750 = 2335379405427
BaseRepresentation
bin1100111011110001010…
…11111110100010010110
31120111002110002112021000
412131320223332202112
524240121021111000
6540054004004130
744051543202060
oct6357053764226
91514073075230
10444406425750
11161520929311
1272166990646
1332ba4593601
141771ba7c730
15b860188000
hex6778afe896

444406425750 has 128 divisors (see below), whose sum is σ = 1408556897280. Its totient is φ = 101578600800.

The previous prime is 444406425737. The next prime is 444406425767. The reversal of 444406425750 is 57524604444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 444406425696 and 444406425705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4655464 + ... + 4749963.

It is an arithmetic number, because the mean of its divisors is an integer number (11004350760).

Almost surely, 2444406425750 is an apocalyptic number.

444406425750 is an abundant number, since it is smaller than the sum of its proper divisors (964150471530).

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

444406425750 is a wasteful number, since it uses less digits than its factorization.

444406425750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405460 (or 9405444 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 444406425750 in words is "four hundred forty-four billion, four hundred six million, four hundred twenty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 125 126 135 150 175 189 210 225 250 270 315 350 375 378 450 525 630 675 750 875 945 1050 1125 1350 1575 1750 1890 2250 2625 3150 3375 4725 5250 6750 7875 9450 15750 23625 47250 9405427 18810854 28216281 47027135 56432562 65837989 84648843 94054270 131675978 141081405 169297686 197513967 235135675 253946529 282162810 329189945 395027934 423244215 470271350 507893058 592541901 658379890 705407025 846488430 987569835 1175678375 1185083802 1269732645 1410814050 1645949725 1777625703 1975139670 2116221075 2351356750 2539465290 2962709505 3291899450 3527035125 3555251406 4232442150 4937849175 5925419010 6348663225 7054070250 8229748625 8888128515 9875698350 10581105375 12697326450 14813547525 16459497250 17776257030 21162210750 24689245875 29627095050 31743316125 44440642575 49378491750 63486632250 74067737625 88881285150 148135475250 222203212875 444406425750