Search a number
-
+
432413042233011 = 37229419355768059
BaseRepresentation
bin110001001010001110000000…
…1110001110100111010110011
32002201001021122101122011211220
41202110130001301310322303
5423134123402302424021
64131355450443440123
7160036545202023600
oct14224340161647263
92081037571564756
10432413042233011
111158643833a05a4
12405b8664b26043
13157384b48ca428
1478acc8d8476a7
1534ed0c77c3cc6
hex1894701c74eb3

432413042233011 has 96 divisors (see below), whose sum is σ = 695670008544000. Its totient is φ = 237932919721728.

The previous prime is 432413042232989. The next prime is 432413042233013. The reversal of 432413042233011 is 110332240314234.

It is not a de Polignac number, because 432413042233011 - 214 = 432413042216627 is a prime.

It is a super-2 number, since 2×4324130422330112 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (432413042233013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6353468700 + ... + 6353536758.

It is an arithmetic number, because the mean of its divisors is an integer number (7246562589000).

Almost surely, 2432413042233011 is an apocalyptic number.

432413042233011 is a deficient number, since it is larger than the sum of its proper divisors (263256966310989).

432413042233011 is a wasteful number, since it uses less digits than its factorization.

432413042233011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72081 (or 72074 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 432413042233011 its reverse (110332240314234), we get a palindrome (542745282547245).

The spelling of 432413042233011 in words is "four hundred thirty-two trillion, four hundred thirteen billion, forty-two million, two hundred thirty-three thousand, eleven".

Divisors: 1 3 7 21 29 49 87 147 203 419 609 1257 1421 2933 3557 4263 8799 10671 12151 20531 24899 36453 61593 68059 74697 85057 103153 174293 204177 255171 309459 476413 522879 595399 722071 1429239 1490383 1786197 1973711 2166213 3334891 4471149 5054497 5921133 10004673 10432681 13815977 15163491 28516721 31298043 41447931 43221107 73028767 85550163 96711839 129663321 199617047 219086301 242085863 290135517 302547749 598851141 726257589 826984909 907643247 1397319329 1694601041 2117834243 2480954727 4191957987 5083803123 5788894363 6353502729 7020490027 11862207287 17366683089 21061470081 35586621861 40522260541 49143430189 101433976597 121566781623 147430290567 304301929791 344004011323 710037836179 1032012033969 2130113508537 2941585321313 4970264853253 8824755963939 14910794559759 20591097249191 61773291747573 144137680744337 432413042233011