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10040004340 = 2253373148829
BaseRepresentation
bin10010101100110111…
…00100111011110100
3221220201001001202121
421112123210323310
5131030220114330
64340132045324
7503541425452
oct112633447364
927821031677
1010040004340
114292358953
121b42463844
13c40085c92
146b35b79d2
153db66117a
hex2566e4ef4

10040004340 has 24 divisors (see below), whose sum is σ = 21090401640. Its totient is φ = 4014784128.

The previous prime is 10040004323. The next prime is 10040004383. The reversal of 10040004340 is 4340004001.

It can be written as a sum of positive squares in 4 ways, for example, as 1295136144 + 8744868196 = 35988^2 + 93514^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6955 + ... + 141874.

It is an arithmetic number, because the mean of its divisors is an integer number (878766735).

Almost surely, 210040004340 is an apocalyptic number.

10040004340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040004340 is an abundant number, since it is smaller than the sum of its proper divisors (11050397300).

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

10040004340 is a wasteful number, since it uses less digits than its factorization.

10040004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152211 (or 152209 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10040004340 its reverse (4340004001), we get a palindrome (14380008341).

The spelling of 10040004340 in words is "ten billion, forty million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 3373 6746 13492 16865 33730 67460 148829 297658 595316 744145 1488290 2976580 502000217 1004000434 2008000868 2510001085 5020002170 10040004340