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200431013424 = 24323296260339
BaseRepresentation
bin1011101010101010011…
…1101000111000110000
3201011100101022102202120
42322222213220320300
511240440314412144
6232024324114240
720323603334625
oct2725247507060
9634311272676
10200431013424
1178003099a44
1232a17b35980
1315b926cbac5
1499b543a34c
155331211e19
hex2eaa9e8e30

200431013424 has 80 divisors (see below), whose sum is σ = 558923155200. Its totient is φ = 61701891328.

The previous prime is 200431013413. The next prime is 200431013441. The reversal of 200431013424 is 424310134002.

200431013424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2004310134242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 200431013394 and 200431013403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3098154 + ... + 3162185.

It is an arithmetic number, because the mean of its divisors is an integer number (6986539440).

Almost surely, 2200431013424 is an apocalyptic number.

200431013424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200431013424 is an abundant number, since it is smaller than the sum of its proper divisors (358492141776).

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

200431013424 is a wasteful number, since it uses less digits than its factorization.

200431013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260402 (or 6260396 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 200431013424 its reverse (424310134002), we get a palindrome (624741147426).

The spelling of 200431013424 in words is "two hundred billion, four hundred thirty-one million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 667 696 1104 1334 1392 2001 2668 4002 5336 8004 10672 16008 32016 6260339 12520678 18781017 25041356 37562034 50082712 75124068 100165424 143987797 150248136 181549831 287975594 300496272 363099662 431963391 544649493 575951188 726199324 863926782 1089298986 1151902376 1452398648 1727853564 2178597972 2303804752 2904797296 3455707128 4175646113 4357195944 6911414256 8351292226 8714391888 12526938339 16702584452 25053876678 33405168904 50107753356 66810337808 100215506712 200431013424