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401144333034400 = 2552501430416293
BaseRepresentation
bin101101100110101101011000…
…1011110010110001110100000
31221121100000122021202101010121
41123031122301132112032200
5410034322043224100100
63541055055035210024
7150331502346141124
oct13315326136261640
91847300567671117
10401144333034400
111068a93a120659a
1238ba85615a6914
13142aa995cc2c57
14710b6bc965584
153159a40bc351a
hex16cd6b17963a0

401144333034400 has 36 divisors (see below), whose sum is σ = 979293603022182. Its totient is φ = 160457733213440.

The previous prime is 401144333034371. The next prime is 401144333034409. The reversal of 401144333034400 is 4430333441104.

It can be written as a sum of positive squares in 3 ways, for example, as 161328508698256 + 239815824336144 = 12701516^2 + 15485988^2 .

It is a super-2 number, since 2×4011443330344002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401144333034409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250715207347 + ... + 250715208946.

Almost surely, 2401144333034400 is an apocalyptic number.

401144333034400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401144333034400 is an abundant number, since it is smaller than the sum of its proper divisors (578149269987782).

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

401144333034400 is a wasteful number, since it uses less digits than its factorization.

401144333034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501430416313 (or 501430416300 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 401144333034400 its reverse (4430333441104), we get a palindrome (405574666475504).

The spelling of 401144333034400 in words is "four hundred one trillion, one hundred forty-four billion, three hundred thirty-three million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 501430416293 1002860832586 2005721665172 2507152081465 4011443330344 5014304162930 8022886660688 10028608325860 12535760407325 16045773321376 20057216651720 25071520814650 40114433303440 50143041629300 80228866606880 100286083258600 200572166517200 401144333034400