Search a number
-
+
202440121040 = 2452530501513
BaseRepresentation
bin1011110010001001011…
…1110001101011010000
3201100112101210200021202
42330202113301223100
511304044132333130
6232555534210332
720424440431343
oct2744227615320
9640471720252
10202440121040
1178944197263
12332989539a8
1316122a14791
149b261c645a
1553ec7c3145
hex2f225f1ad0

202440121040 has 20 divisors (see below), whose sum is σ = 470673281604. Its totient is φ = 80976048384.

The previous prime is 202440121033. The next prime is 202440121069. The reversal of 202440121040 is 40121044202.

202440121040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 121251596944 + 81188524096 = 348212^2 + 284936^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1265250677 + ... + 1265250836.

Almost surely, 2202440121040 is an apocalyptic number.

202440121040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202440121040 is an abundant number, since it is smaller than the sum of its proper divisors (268233160564).

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

202440121040 is a wasteful number, since it uses less digits than its factorization.

202440121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530501526 (or 2530501520 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202440121040 its reverse (40121044202), we get a palindrome (242561165242).

The spelling of 202440121040 in words is "two hundred two billion, four hundred forty million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2530501513 5061003026 10122006052 12652507565 20244012104 25305015130 40488024208 50610030260 101220060520 202440121040