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40444400000 = 2755101111
BaseRepresentation
bin100101101010101011…
…001001000110000000
310212101122021101200202
4211222223021012000
51130312231300000
630325131504332
72631151504424
oct455253110600
9125348241622
1040444400000
111617489a374
127a088b80a8
133a7716b344
141d5960cb84
1510baa1add5
hex96aac9180

40444400000 has 96 divisors (see below), whose sum is σ = 100710585360. Its totient is φ = 16177600000.

The previous prime is 40444399999. The next prime is 40444400033. The reversal of 40444400000 is 444404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349445 + ... + 450555.

Almost surely, 240444400000 is an apocalyptic number.

40444400000 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 40444400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50355292680).

40444400000 is an abundant number, since it is smaller than the sum of its proper divisors (60266185360).

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

40444400000 is an frugal number, since it uses more digits than its factorization.

40444400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101150 (or 101118 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40444400000 its reverse (444404), we get a palindrome (40444844404).

It can be divided in two parts, 4044 and 4400000, that added together give a palindrome (4404044).

The spelling of 40444400000 in words is "forty billion, four hundred forty-four million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 101111 200000 202222 400000 404444 505555 808888 1011110 1617776 2022220 2527775 3235552 4044440 5055550 6471104 8088880 10111100 12638875 12942208 16177760 20222200 25277750 32355520 40444400 50555500 63194375 64711040 80888800 101111000 126388750 161777600 202222000 252777500 315971875 323555200 404444000 505555000 631943750 808888000 1011110000 1263887500 1617776000 2022220000 2527775000 4044440000 5055550000 8088880000 10111100000 20222200000 40444400000