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4400044000 = 25531129091
BaseRepresentation
bin1000001100100001…
…10101011111100000
3102100122110101122121
410012100311133200
533002402402000
62004340114024
7214015520422
oct40620653740
912318411577
104400044000
11195878a200
12a29695914
1355177a041
142da52a812
151ab446b1a
hex1064357e0

4400044000 has 144 divisors (see below), whose sum is σ = 11884371408. Its totient is φ = 1599840000.

The previous prime is 4400043971. The next prime is 4400044013. The reversal of 4400044000 is 4400044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479455 + ... + 488545.

It is an arithmetic number, because the mean of its divisors is an integer number (82530357).

Almost surely, 24400044000 is an apocalyptic number.

4400044000 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 4400044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942185704).

4400044000 is an abundant number, since it is smaller than the sum of its proper divisors (7484327408).

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

4400044000 is a wasteful number, since it uses less digits than its factorization.

4400044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4400044000 is about 66332.8274687579. The cubic root of 4400044000 is about 1638.6480033249.

Adding to 4400044000 its reverse (4400044), we get a palindrome (4404444044).

4400044000 divided by its reverse (4400044) gives a cube (1000 = 103).

The spelling of 4400044000 in words is "four billion, four hundred million, forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9091 9680 11000 12100 15125 18182 19360 22000 24200 30250 36364 44000 45455 48400 60500 72728 90910 96800 100001 121000 145456 181820 200002 227275 242000 290912 363640 400004 454550 484000 500005 727280 800008 909100 1000010 1100011 1136375 1454560 1600016 1818200 2000020 2200022 2272750 2500025 3200032 3636400 4000040 4400044 4545500 5000050 5500055 7272800 8000080 8800088 9091000 10000100 11000110 12500125 16000160 17600176 18182000 20000200 22000220 25000250 27500275 35200352 36364000 40000400 44000440 50000500 55000550 80000800 88000880 100001000 110001100 137501375 176001760 200002000 220002200 275002750 400004000 440004400 550005500 880008800 1100011000 2200022000 4400044000