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40442002044400 = 2452119191364101
BaseRepresentation
bin10010011001000001000110…
…01010100111010111110000
312022012012212122202022102101
421030200203022213113300
520300100210010410100
6222002444350030144
711342560340323465
oct1114404312472760
9168165778668371
1040442002044400
11119823a1919060
124651b207a8354
13197488399a0c8
149db590ab766c
154a1ec8c6586a
hex24c8232a75f0

40442002044400 has 60 divisors (see below), whose sum is σ = 105994810824264. Its totient is φ = 14706182560000.

The previous prime is 40442002044383. The next prime is 40442002044401. The reversal of 40442002044400 is 444020024404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442002044401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4595677651 + ... + 4595686450.

Almost surely, 240442002044400 is an apocalyptic number.

40442002044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40442002044400 is an abundant number, since it is smaller than the sum of its proper divisors (65552808779864).

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

40442002044400 is a wasteful number, since it uses less digits than its factorization.

40442002044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191364130 (or 9191364119 counting only the distinct ones).

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

Adding to 40442002044400 its reverse (444020024404), we get a palindrome (40886022068804).

The spelling of 40442002044400 in words is "forty trillion, four hundred forty-two billion, two million, forty-four 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 9191364101 18382728202 36765456404 45956820505 73530912808 91913641010 101105005111 147061825616 183827282020 202210010222 229784102525 367654564040 404420020444 459568205050 505525025555 735309128080 808840040888 919136410100 1011050051110 1617680081776 1838272820200 2022100102220 2527625127775 3676545640400 4044200204440 5055250255550 8088400408880 10110500511100 20221001022200 40442002044400