Search a number
-
+
202012400304144 = 24321782521405353
BaseRepresentation
bin101101111011101010101101…
…010111000100000000010000
3222111021012022111211121221100
4231323222231113010000100
5202434232343434213034
61553351114320024400
760356625412546023
oct5573525527040020
9874235274747840
10202012400304144
1159404a83579181
121a7a7434162100
1388948c28a4911
1437c56493351ba
151854c15a11099
hexb7baad5c4010

202012400304144 has 60 divisors (see below), whose sum is σ = 598610274437916. Its totient is φ = 63376439310336.

The previous prime is 202012400304097. The next prime is 202012400304163. The reversal of 202012400304144 is 441403004210202.

202012400304144 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 240 + 0 + 3 + 0 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120363104304144 + 81649296000000 = 10971012^2 + 9036000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41260700229 + ... + 41260705124.

Almost surely, 2202012400304144 is an apocalyptic number.

202012400304144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202012400304144 is an abundant number, since it is smaller than the sum of its proper divisors (396597874133772).

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

202012400304144 is a wasteful number, since it uses less digits than its factorization.

202012400304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82521405384 (or 82521405375 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 202012400304144 its reverse (441403004210202), we get a palindrome (643415404514346).

The spelling of 202012400304144 in words is "two hundred two trillion, twelve billion, four hundred million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 82521405353 165042810706 247564216059 330085621412 495128432118 660171242824 742692648177 990256864236 1320342485648 1402863891001 1485385296354 1980513728472 2805727782002 2970770592708 3961027456944 4208591673003 5611455564004 5941541185416 8417183346006 11222911128008 11883082370832 12625775019009 16834366692012 22445822256016 25251550038018 33668733384024 50503100076036 67337466768048 101006200152072 202012400304144