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9882141405 = 353190723431
BaseRepresentation
bin10010011010000010…
…11000001011011101
3221111200222210112020
421031001120023131
5130214312011110
64312332330353
7466613546613
oct111501301335
927450883466
109882141405
114211236114
121ab96139b9
13c16463166
1469a6436b3
153cc87bd70
hex24d0582dd

9882141405 has 32 divisors (see below), whose sum is σ = 16340164608. Its totient is φ = 5094619200.

The previous prime is 9882141389. The next prime is 9882141407. The reversal of 9882141405 is 5041412889.

9882141405 is a nontrivial binomial coefficient, being equal to C(140586, 2).

It is not a de Polignac number, because 9882141405 - 24 = 9882141389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9882141407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410040 + ... + 433470.

It is an arithmetic number, because the mean of its divisors is an integer number (510630144).

Almost surely, 29882141405 is an apocalyptic number.

9882141405 is the 140585-th triangular number and also the 70293-rd hexagonal number.

It is an amenable number.

9882141405 is a deficient number, since it is larger than the sum of its proper divisors (6458023203).

9882141405 is a wasteful number, since it uses less digits than its factorization.

9882141405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24377.

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 9882141405 is about 99408.9603858727. The cubic root of 9882141405 is about 2145.9372640706.

The spelling of 9882141405 in words is "nine billion, eight hundred eighty-two million, one hundred forty-one thousand, four hundred five".

Divisors: 1 3 5 15 31 93 155 465 907 2721 4535 13605 23431 28117 70293 84351 117155 140585 351465 421755 726361 2179083 3631805 10895415 21251917 63755751 106259585 318778755 658809427 1976428281 3294047135 9882141405