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1000001304400 = 245271929648173
BaseRepresentation
bin11101000110101001011…
…10001111011101010000
310112121011210212200210011
432203110232033131100
5112341000313220100
62043221054244304
7132150651560650
oct16432456173520
93477153780704
101000001304400
11356109736a0a
121419824b6694
13733b8634487
14365866a6360
151b02b922bba
hexe8d4b8f750

1000001304400 has 240 divisors, whose sum is σ = 2989897027200. Its totient is φ = 313611540480.

The previous prime is 1000001304391. The next prime is 1000001304403. The reversal of 1000001304400 is 44031000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000001304403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218714 + ... + 1866886.

It is an arithmetic number, because the mean of its divisors is an integer number (12457904280).

Almost surely, 21000001304400 is an apocalyptic number.

1000001304400 is a gapful number since it is divisible by the number (10) 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 1000001304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494948513600).

1000001304400 is an abundant number, since it is smaller than the sum of its proper divisors (1989895722800).

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

1000001304400 is a wasteful number, since it uses less digits than its factorization.

1000001304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648246 (or 648235 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1000001304400 its reverse (44031000001), we get a palindrome (1044032304401).

The spelling of 1000001304400 in words is "one trillion, one million, three hundred four thousand, four hundred".