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242010041532 = 223717238326029
BaseRepresentation
bin1110000101100011101…
…1000010110010111100
3212010200002120220121120
43201120323002302330
512431114032312112
6303102231030540
723325143261130
oct3413073026274
9763602526546
10242010041532
11936aa3a5196
123aaa080b450
1319a8a95350c
14b9db5dd3c0
156466653e8c
hex3858ec2cbc

242010041532 has 144 divisors (see below), whose sum is σ = 687371919360. Its totient is φ = 64905919488.

The previous prime is 242010041531. The next prime is 242010041551. The reversal of 242010041532 is 235140010242.

242010041532 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 (242010041531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9284694 + ... + 9310722.

Almost surely, 2242010041532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242010041532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343685959680).

242010041532 is an abundant number, since it is smaller than the sum of its proper divisors (445361877828).

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

242010041532 is a wasteful number, since it uses less digits than its factorization.

242010041532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26460 (or 26441 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 242010041532 its reverse (235140010242), we get a palindrome (477150051774).

The spelling of 242010041532 in words is "two hundred forty-two billion, ten million, forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 383 476 578 714 766 867 1149 1156 1428 1532 1734 2023 2298 2681 3468 4046 4596 5362 6069 6511 8043 8092 10724 12138 13022 16086 19533 24276 26029 26044 32172 39066 45577 52058 78087 78132 91154 104116 110687 136731 156174 182203 182308 221374 273462 312348 332061 364406 442493 442748 546609 546924 664122 728812 774809 884986 1093218 1327479 1328244 1549618 1769972 2186436 2324427 2654958 3097451 3099236 4648854 5309916 6194902 7522381 9292353 9297708 9969107 12389804 15044762 18584706 19938214 22567143 29907321 30089524 37169412 39876428 45134286 52656667 59814642 69783749 90268572 105313334 119629284 139567498 157970001 169474819 209351247 210626668 279134996 315940002 338949638 418702494 508424457 631880004 677899276 837404988 1016848914 1186323733 2033697828 2372647466 2881071923 3558971199 4745294932 5762143846 7117942398 8643215769 11524287692 14235884796 17286431538 20167503461 34572863076 40335006922 60502510383 80670013844 121005020766 242010041532