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14154102040 = 2351338371069
BaseRepresentation
bin11010010111010011…
…00111010100011000
31100112102102212211111
431023221213110120
5212441422231130
610300255310104
71010515611421
oct151351472430
940472385744
1014154102040
1160036923a1
1228b021b334
131447515c10
14983b4c648
1557c92302a
hex34ba67518

14154102040 has 64 divisors (see below), whose sum is σ = 34386508800. Its totient is φ = 5212411392.

The previous prime is 14154102019. The next prime is 14154102049. The reversal of 14154102040 is 4020145141.

14154102040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14154102049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 163626 + ... + 234694.

It is an arithmetic number, because the mean of its divisors is an integer number (537289200).

Almost surely, 214154102040 is an apocalyptic number.

14154102040 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 14154102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193254400).

14154102040 is an abundant number, since it is smaller than the sum of its proper divisors (20232406760).

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

14154102040 is a wasteful number, since it uses less digits than its factorization.

14154102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71476 (or 71472 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 14154102040 its reverse (4020145141), we get a palindrome (18174247181).

The spelling of 14154102040 in words is "fourteen billion, one hundred fifty-four million, one hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 383 520 766 1532 1915 3064 3830 4979 7660 9958 15320 19916 24895 39832 49790 71069 99580 142138 199160 284276 355345 568552 710690 923897 1421380 1847794 2842760 3695588 4619485 7391176 9238970 18477940 27219427 36955880 54438854 108877708 136097135 217755416 272194270 353852551 544388540 707705102 1088777080 1415410204 1769262755 2830820408 3538525510 7077051020 14154102040