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40244240040400 = 2452119146418191
BaseRepresentation
bin10010010011010000101111…
…01000011100000111010000
312021111022102021122121021201
421021220113220130013100
520233330200422243100
6221331540524000544
711322356533116244
oct1111502750340720
9167438367577251
1040244240040400
1111906539379430
12461b72a690154
13195c028223c26
149d1b8dd24424
1549bca201636a
hex249a17a1c1d0

40244240040400 has 60 divisors (see below), whose sum is σ = 105476494590144. Its totient is φ = 14634269104000.

The previous prime is 40244240040331. The next prime is 40244240040401. The reversal of 40244240040400 is 404004244204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40244240040401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4573204696 + ... + 4573213495.

Almost surely, 240244240040400 is an apocalyptic number.

40244240040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40244240040400 is an abundant number, since it is smaller than the sum of its proper divisors (65232254549744).

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

40244240040400 is a wasteful number, since it uses less digits than its factorization.

40244240040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146418220 (or 9146418209 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40244240040400 its reverse (404004244204), we get a palindrome (40648244284604).

The spelling of 40244240040400 in words is "forty trillion, two hundred forty-four billion, two hundred forty million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 9146418191 18292836382 36585672764 45732090955 73171345528 91464181910 100610600101 146342691056 182928363820 201221200202 228660454775 365856727640 402442400404 457320909550 503053000505 731713455280 804884800808 914641819100 1006106001010 1609769601616 1829283638200 2012212002020 2515265002525 3658567276400 4024424004040 5030530005050 8048848008080 10061060010100 20122120020200 40244240040400