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10400341050 = 232521129531367
BaseRepresentation
bin10011010111110100…
…01001110000111010
3222211211002001210200
421223322021300322
5132244441403200
64440003223030
7515505304011
oct115372116072
928754061720
1010400341050
1144577a3190
122023077a76
13c9991b078
147093b5a78
1540d0dc800
hex26be89c3a

10400341050 has 288 divisors, whose sum is σ = 32152049280. Its totient is φ = 2386675200.

The previous prime is 10400341027. The next prime is 10400341069. The reversal of 10400341050 is 5014300401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7607467 + ... + 7608833.

It is an arithmetic number, because the mean of its divisors is an integer number (111639060).

Almost surely, 210400341050 is an apocalyptic number.

10400341050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400341050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16076024640).

10400341050 is an abundant number, since it is smaller than the sum of its proper divisors (21751708230).

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

10400341050 is a wasteful number, since it uses less digits than its factorization.

10400341050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10400341050 its reverse (5014300401), we get a palindrome (15414641451).

The spelling of 10400341050 in words is "ten billion, four hundred million, three hundred forty-one thousand, fifty".