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10454340000 = 253541321031
BaseRepresentation
bin10011011110010000…
…01001000110100000
3222222120200111102210
421233020021012200
5132402302340000
64445212442120
7520032265236
oct115710110640
928876614383
1010454340000
114485225415
122039179340
13ca7b76700
14712630956
15412c07350
hex26f2091a0

10454340000 has 360 divisors, whose sum is σ = 37169127072. Its totient is φ = 2570880000.

The previous prime is 10454339971. The next prime is 10454340031. The reversal of 10454340000 is 4345401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10139485 + ... + 10140515.

Almost surely, 210454340000 is an apocalyptic number.

10454340000 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 10454340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18584563536).

10454340000 is an abundant number, since it is smaller than the sum of its proper divisors (26714787072).

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

10454340000 is a wasteful number, since it uses less digits than its factorization.

10454340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 10454340000 its reverse (4345401), we get a palindrome (10458685401).

The spelling of 10454340000 in words is "ten billion, four hundred fifty-four million, three hundred forty thousand".