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444435500000 = 2556888871
BaseRepresentation
bin1100111011110100110…
…10111000101111100000
31120111011110210122122002
412131322122320233200
524240200442000000
6540100523103132
744052345263462
oct6357232705740
91514143718562
10444435500000
11161536287218
1272174671aa8
1332baa6030cb
141772188a132
15b8629cc8d5
hex677a6b8be0

444435500000 has 84 divisors (see below), whose sum is σ = 1093715219016. Its totient is φ = 177774000000.

The previous prime is 444435499993. The next prime is 444435500111. The reversal of 444435500000 is 5534444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 55565 + ... + 944435.

It is an arithmetic number, because the mean of its divisors is an integer number (13020419274).

Almost surely, 2444435500000 is an apocalyptic number.

444435500000 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 444435500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546857609508).

444435500000 is an abundant number, since it is smaller than the sum of its proper divisors (649279719016).

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

444435500000 is an frugal number, since it uses more digits than its factorization.

444435500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888911 (or 888878 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The spelling of 444435500000 in words is "four hundred forty-four billion, four hundred thirty-five million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 15625 20000 25000 31250 50000 62500 100000 125000 250000 500000 888871 1777742 3555484 4444355 7110968 8888710 14221936 17777420 22221775 28443872 35554840 44443550 71109680 88887100 111108875 142219360 177774200 222217750 355548400 444435500 555544375 711096800 888871000 1111088750 1777742000 2222177500 2777721875 3555484000 4444355000 5555443750 8888710000 11110887500 13888609375 17777420000 22221775000 27777218750 44443550000 55554437500 88887100000 111108875000 222217750000 444435500000