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10454142340 = 2252281229157
BaseRepresentation
bin10011011110001110…
…11000110110000100
3222222120022110022001
421233013120312010
5132402230023330
64445204315044
7520030513045
oct115707306604
928876273261
1010454142340
1144850aa964
1220390a2a84
13ca7b07755
147125bc8cc
15412bb89ca
hex26f1d8d84

10454142340 has 24 divisors (see below), whose sum is σ = 21963419352. Its totient is φ = 4179805440.

The previous prime is 10454142337. The next prime is 10454142359. The reversal of 10454142340 is 4324145401.

10454142340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1671828544 + 8782313796 = 40888^2 + 93714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10454142299 and 10454142308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68959 + ... + 160198.

It is an arithmetic number, because the mean of its divisors is an integer number (915142473).

Almost surely, 210454142340 is an apocalyptic number.

10454142340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10454142340 is an abundant number, since it is smaller than the sum of its proper divisors (11509277012).

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

10454142340 is a wasteful number, since it uses less digits than its factorization.

10454142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231447 (or 231445 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 10454142340 its reverse (4324145401), we get a palindrome (14778287741).

The spelling of 10454142340 in words is "ten billion, four hundred fifty-four million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 2281 4562 9124 11405 22810 45620 229157 458314 916628 1145785 2291570 4583140 522707117 1045414234 2090828468 2613535585 5227071170 10454142340