Search a number
-
+
202544103040 = 275641493721
BaseRepresentation
bin1011110010100010010…
…0011011111010000000
3201100210122110111202221
42330220210123322000
511304302242244130
6233014131020424
720430142320016
oct2745044337200
9640718414687
10202544103040
11789979584a4
123330773a714
131613b4208a6
149b35d328b6
1554069b287a
hex2f2891be80

202544103040 has 64 divisors (see below), whose sum is σ = 484963371720. Its totient is φ = 80891084800.

The previous prime is 202544103007. The next prime is 202544103061. The reversal of 202544103040 is 40301445202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 201371177536 + 1172925504 = 448744^2 + 34248^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2025441030402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202544102996 and 202544103014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163380 + ... + 657100.

Almost surely, 2202544103040 is an apocalyptic number.

202544103040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202544103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242481685860).

202544103040 is an abundant number, since it is smaller than the sum of its proper divisors (282419268680).

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

202544103040 is an equidigital number, since it uses as much as digits as its factorization.

202544103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494381 (or 494369 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 202544103040 its reverse (40301445202), we get a palindrome (242845548242).

The spelling of 202544103040 in words is "two hundred two billion, five hundred forty-four million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 641 1282 2564 3205 5128 6410 10256 12820 20512 25640 41024 51280 82048 102560 205120 410240 493721 987442 1974884 2468605 3949768 4937210 7899536 9874420 15799072 19748840 31598144 39497680 63196288 78995360 157990720 315981440 316475161 632950322 1265900644 1582375805 2531801288 3164751610 5063602576 6329503220 10127205152 12659006440 20254410304 25318012880 40508820608 50636025760 101272051520 202544103040