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401452104200 = 235278910333119
BaseRepresentation
bin1011101011110000110…
…10001111101000001000
31102101012212221220110212
411311320122033220020
523034133214313300
6504231411500252
741001233403650
oct5657032175010
91371185856425
10401452104200
11145289279814
12659795b7688
132bb1a430bb4
1415604d99360
15a699131935
hex5d7868fa08

401452104200 has 192 divisors, whose sum is σ = 1080091584000. Its totient is φ = 135918858240.

The previous prime is 401452104197. The next prime is 401452104233. The reversal of 401452104200 is 2401254104.

It is a super-2 number, since 2×4014521042002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 128710241 + ... + 128713359.

It is an arithmetic number, because the mean of its divisors is an integer number (5625477000).

Almost surely, 2401452104200 is an apocalyptic number.

401452104200 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 401452104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540045792000).

401452104200 is an abundant number, since it is smaller than the sum of its proper divisors (678639479800).

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

401452104200 is a wasteful number, since it uses less digits than its factorization.

401452104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 401452104200 its reverse (2401254104), we get a palindrome (403853358304).

The spelling of 401452104200 in words is "four hundred one billion, four hundred fifty-two million, one hundred four thousand, two hundred".