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40444000000 = 285610111
BaseRepresentation
bin100101101010101001…
…100111011100000000
310212101121112001222221
4211222221213130000
51130312131000000
630325115140424
72631145220305
oct455251473400
9125347461887
1040444000000
1116174646898
127a08744714
133a7705b261
141d595470ac
1510ba98c61a
hex96aa67700

40444000000 has 126 divisors (see below), whose sum is σ = 100921208192. Its totient is φ = 16176000000.

The previous prime is 40443999989. The next prime is 40444000007. The reversal of 40444000000 is 44404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40444000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3994945 + ... + 4005055.

Almost surely, 240444000000 is an apocalyptic number.

40444000000 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 40444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50460604096).

40444000000 is an abundant number, since it is smaller than the sum of its proper divisors (60477208192).

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

40444000000 is an frugal number, since it uses more digits than its factorization.

40444000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10157 (or 10118 counting only the distinct ones).

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

Adding to 40444000000 its reverse (44404), we get a palindrome (40444044404).

The spelling of 40444000000 in words is "forty billion, four hundred forty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 10111 12500 15625 16000 20000 20222 25000 31250 32000 40000 40444 50000 50555 62500 80000 80888 100000 101110 125000 160000 161776 200000 202220 250000 252775 323552 400000 404440 500000 505550 647104 800000 808880 1000000 1011100 1263875 1294208 1617760 2000000 2022200 2527750 2588416 3235520 4000000 4044400 5055500 6319375 6471040 8088800 10111000 12638750 12942080 16177600 20222000 25277500 31596875 32355200 40444000 50555000 63193750 64710400 80888000 101110000 126387500 157984375 161776000 202220000 252775000 315968750 323552000 404440000 505550000 631937500 808880000 1011100000 1263875000 1617760000 2022200000 2527750000 4044400000 5055500000 8088800000 10111000000 20222000000 40444000000