Search a number
-
+
431381594112 = 214371253783
BaseRepresentation
bin1100100011100000101…
…10001100000000000000
31112020110201120112012020
412101300112030000000
524031432142002422
6530101324401440
743111016023020
oct6216026140000
91466421515166
10431381594112
11156a47733547
126b7309a6280
13318aa009241
1416c43ccba80
15b34b97d95c
hex647058c000

431381594112 has 120 divisors (see below), whose sum is σ = 1314647690496. Its totient is φ = 123251785728.

The previous prime is 431381594023. The next prime is 431381594117. The reversal of 431381594112 is 211495183134.

It is a super-2 number, since 2×4313815941122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (431381594117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282828 + ... + 970955.

Almost surely, 2431381594112 is an apocalyptic number.

431381594112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

431381594112 is an abundant number, since it is smaller than the sum of its proper divisors (883266096384).

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

431381594112 is an equidigital number, since it uses as much as digits as its factorization.

431381594112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253821 (or 1253795 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The spelling of 431381594112 in words is "four hundred thirty-one billion, three hundred eighty-one million, five hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 43008 49152 57344 86016 114688 172032 344064 1253783 2507566 3761349 5015132 7522698 8776481 10030264 15045396 17552962 20060528 26329443 30090792 35105924 40121056 52658886 60181584 70211848 80242112 105317772 120363168 140423696 160484224 210635544 240726336 280847392 320968448 421271088 481452672 561694784 641936896 842542176 962905344 1123389568 1283873792 1685084352 1925810688 2246779136 2567747584 3370168704 3851621376 4493558272 5135495168 6740337408 7703242752 8987116544 10270990336 13480674816 15406485504 17974233088 20541980672 26961349632 30812971008 35948466176 53922699264 61625942016 71896932352 107845398528 143793864704 215690797056 431381594112