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40220044400 = 2452563178597
BaseRepresentation
bin100101011101010011…
…010010110001110000
310211211000002221200002
4211131103102301300
51124332312410100
630250555045132
72622455510444
oct453523226160
9124730087602
1040220044400
111606a191718
1279657407a8
133a3c837253
141d378ca824
1510a5ea02d5
hex95d4d2c70

40220044400 has 60 divisors (see below), whose sum is σ = 96800830392. Its totient is φ = 16059352320.

The previous prime is 40220044387. The next prime is 40220044427. The reversal of 40220044400 is 444002204.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135902 + ... + 314498.

Almost surely, 240220044400 is an apocalyptic number.

40220044400 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 40220044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48400415196).

40220044400 is an abundant number, since it is smaller than the sum of its proper divisors (56580785992).

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

40220044400 is a wasteful number, since it uses less digits than its factorization.

40220044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179178 (or 179167 counting only the distinct ones).

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

Adding to 40220044400 its reverse (444002204), we get a palindrome (40664046604).

The spelling of 40220044400 in words is "forty billion, two hundred twenty million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 563 1126 2252 2815 4504 5630 9008 11260 14075 22520 28150 45040 56300 112600 178597 225200 357194 714388 892985 1428776 1785970 2857552 3571940 4464925 7143880 8929850 14287760 17859700 35719400 71438800 100550111 201100222 402200444 502750555 804400888 1005501110 1608801776 2011002220 2513752775 4022004440 5027505550 8044008880 10055011100 20110022200 40220044400