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24242000142330 = 2325283499501413
BaseRepresentation
bin1011000001100010001111…
…10011101001111111111010
310011211111211200010012001100
411200301013303221333322
511134140104014023310
6123320342055032230
75051266235216415
oct540610763517772
9104744750105040
1024242000142330
1177a6a7a102433
12287631896b676
13106b01a977c59
145db467740b7c
152c08cb68bec0
hex160c47ce9ffa

24242000142330 has 48 divisors (see below), whose sum is σ = 63031430334600. Its totient is φ = 6464304657024.

The previous prime is 24242000142317. The next prime is 24242000142359. The reversal of 24242000142330 is 3324100024242.

24242000142330 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 200 + 0 + 1 + 423 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7803346141809 + 16438654000521 = 2793447^2 + 4054461^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24242000142294 and 24242000142303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2199297 + ... + 7302116.

Almost surely, 224242000142330 is an apocalyptic number.

24242000142330 is an abundant number, since it is smaller than the sum of its proper divisors (38789430192270).

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

24242000142330 is a wasteful number, since it uses less digits than its factorization.

24242000142330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9529775 (or 9529772 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 24242000142330 its reverse (3324100024242), we get a palindrome (27566100166572).

The spelling of 24242000142330 in words is "twenty-four trillion, two hundred forty-two billion, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 28349 56698 85047 141745 170094 255141 283490 425235 510282 850470 1275705 2551410 9501413 19002826 28504239 47507065 57008478 85512717 95014130 142521195 171025434 285042390 427563585 855127170 269355557137 538711114274 808066671411 1346777785685 1616133342822 2424200014233 2693555571370 4040333357055 4848400028466 8080666714110 12121000071165 24242000142330