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24004134420 = 22357137417173
BaseRepresentation
bin10110010110110000…
…100000011000010100
32021221220000101001120
4112112300200120110
5343130024300140
615005523523540
71506562530120
oct262660403024
967856011046
1024004134420
11a1a8787522
12479ab295b0
132357116146
141239dd4580
1595755b1d0
hex596c20614

24004134420 has 96 divisors (see below), whose sum is σ = 77374096128. Its totient is φ = 5446597632.

The previous prime is 24004134403. The next prime is 24004134431. The reversal of 24004134420 is 2443140042.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 151047 + ... + 266126.

It is an arithmetic number, because the mean of its divisors is an integer number (805980168).

Almost surely, 224004134420 is an apocalyptic number.

24004134420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24004134420 is an abundant number, since it is smaller than the sum of its proper divisors (53369961708).

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

24004134420 is a wasteful number, since it uses less digits than its factorization.

24004134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417329 (or 417327 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24004134420 its reverse (2443140042), we get a palindrome (26447274462).

The spelling of 24004134420 in words is "twenty-four billion, four million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 140 210 274 411 420 548 685 822 959 1370 1644 1918 2055 2740 2877 3836 4110 4795 5754 8220 9590 11508 14385 19180 28770 57540 417173 834346 1251519 1668692 2085865 2503038 2920211 4171730 5006076 5840422 6257595 8343460 8760633 11680844 12515190 14601055 17521266 25030380 29202110 35042532 43803165 57152701 58404220 87606330 114305402 171458103 175212660 228610804 285763505 342916206 400068907 571527010 685832412 800137814 857290515 1143054020 1200206721 1600275628 1714581030 2000344535 2400413442 3429162060 4000689070 4800826884 6001033605 8001378140 12002067210 24004134420