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2424132414 = 2331116325037
BaseRepresentation
bin1001000001111101…
…0101001100111110
320020221102200112000
42100133111030332
514431034214124
61040313323130
7114033533304
oct22037251476
96227380460
102424132414
1110343a5620
12577a064a6
132c82b7ca2
1418dd42274
15e2c416c9
hex907d533e

2424132414 has 64 divisors (see below), whose sum is σ = 5912974080. Its totient is φ = 730049760.

The previous prime is 2424132397. The next prime is 2424132443. The reversal of 2424132414 is 4142314242.

2424132414 is a `hidden beast` number, since 2 + 4 + 2 + 413 + 241 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 84304 + ... + 109340.

It is an arithmetic number, because the mean of its divisors is an integer number (92390220).

Almost surely, 22424132414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424132414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956487040).

2424132414 is an abundant number, since it is smaller than the sum of its proper divisors (3488841666).

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

2424132414 is a wasteful number, since it uses less digits than its factorization.

2424132414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25222 (or 25216 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2424132414 is about 49235.4792197659. The cubic root of 2424132414 is about 1343.3384519273.

Adding to 2424132414 its reverse (4142314242), we get a palindrome (6566446656).

The spelling of 2424132414 in words is "two billion, four hundred twenty-four million, one hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 163 198 297 326 489 594 978 1467 1793 2934 3586 4401 5379 8802 10758 16137 25037 32274 48411 50074 75111 96822 150222 225333 275407 450666 550814 675999 826221 1351998 1652442 2478663 4081031 4957326 7435989 8162062 12243093 14871978 24486186 36729279 44891341 73458558 89782682 110187837 134674023 220375674 269348046 404022069 808044138 1212066207 2424132414