Search a number
-
+
202434400431040 = 265632607501347
BaseRepresentation
bin101110000001110011101110…
…100001110010101111000000
3222112202112120102112020110211
4232001303232201302233000
5203013141123002243130
61554313025115203504
760432255104464501
oct5601635641625700
9875675512466424
10202434400431040
1159557a46653528
121a855187146594
1388c56360aa90b
1437dbc3d2acba8
151860bb3a60a2a
hexb81cee872bc0

202434400431040 has 28 divisors (see below), whose sum is σ = 482046916027176. Its totient is φ = 80973760172288.

The previous prime is 202434400430959. The next prime is 202434400431061. The reversal of 202434400431040 is 40134004434202.

It is a junction number, because it is equal to n+sod(n) for n = 202434400430993 and 202434400431011.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 316303750354 + ... + 316303750993.

Almost surely, 2202434400431040 is an apocalyptic number.

202434400431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202434400431040 is an abundant number, since it is smaller than the sum of its proper divisors (279612515596136).

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

202434400431040 is an equidigital number, since it uses as much as digits as its factorization.

202434400431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632607501364 (or 632607501354 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 202434400431040 its reverse (40134004434202), we get a palindrome (242568404865242).

The spelling of 202434400431040 in words is "two hundred two trillion, four hundred thirty-four billion, four hundred million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 632607501347 1265215002694 2530430005388 3163037506735 5060860010776 6326075013470 10121720021552 12652150026940 20243440043104 25304300053880 40486880086208 50608600107760 101217200215520 202434400431040