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4042430301 = 3713374143227
BaseRepresentation
bin1111000011110010…
…1001011101011101
3101102201112201212210
43300330221131131
531234330232201
61505043151033
7202114043040
oct36074513535
911381481783
104042430301
111794934798
12949975479
134c56594c0
142a4c3ac57
15189d571d6
hexf0f2975d

4042430301 has 128 divisors (see below), whose sum is σ = 7172960256. Its totient is φ = 1968261120.

The previous prime is 4042430299. The next prime is 4042430309. The reversal of 4042430301 is 1030342404.

It is not a de Polignac number, because 4042430301 - 21 = 4042430299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042430309) 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 127 ways as a sum of consecutive naturals, for example, 17807950 + ... + 17808176.

It is an arithmetic number, because the mean of its divisors is an integer number (56038752).

Almost surely, 24042430301 is an apocalyptic number.

4042430301 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4042430301 is a deficient number, since it is larger than the sum of its proper divisors (3130529955).

4042430301 is a wasteful number, since it uses less digits than its factorization.

4042430301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4042430301 is about 63580.1093188742. The cubic root of 4042430301 is about 1592.9941473172.

Adding to 4042430301 its reverse (1030342404), we get a palindrome (5072772705).

The spelling of 4042430301 in words is "four billion, forty-two million, four hundred thirty thousand, three hundred one".

Divisors: 1 3 7 13 21 37 39 41 43 91 111 123 129 227 259 273 287 301 481 533 559 681 777 861 903 1443 1517 1589 1591 1599 1677 1763 2951 3367 3731 3913 4551 4767 4773 5289 8399 8853 9307 9761 10101 10619 11137 11193 11739 12341 19721 20657 20683 22919 25197 27921 29283 31857 33411 37023 58793 59163 61971 62049 65149 65231 68327 68757 109187 120991 126893 138047 144781 160433 176379 195447 195693 204981 327561 344359 361157 362973 380679 400201 414141 434343 456617 481299 764309 846937 848003 888251 1033077 1083471 1200603 1369851 2292927 2410513 2528099 2540811 2544009 2664753 2801407 4476667 4695041 5202613 5936021 7231539 7584297 8404221 13430001 14085123 14807437 15607839 17808063 31336669 32865287 36418291 44422311 94010007 98595861 103652059 109254873 192496681 310956177 577490043 1347476767 4042430301