Search a number
-
+
242241115244340 = 223515057126813609
BaseRepresentation
bin110111000101000100100111…
…100111111100011100110100
31011202201000122211021102110210
4313011010213213330130310
5223222334301000304330
62215112010531145420
7102011225441551422
oct6705044747743464
91152630584242423
10242241115244340
1170204975384a83
1223203b4b445270
13a522315549a04
1443b67653c8112
151d013a9a8c8b0
hexdc51279fc734

242241115244340 has 48 divisors (see below), whose sum is σ = 678279652666560. Its totient is φ = 64597199304960.

The previous prime is 242241115244311. The next prime is 242241115244353. The reversal of 242241115244340 is 43442511142242.

It is a happy number.

It is a super-2 number, since 2×2422411152443402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4372545 + ... + 22441064.

It is an arithmetic number, because the mean of its divisors is an integer number (14130826097220).

Almost surely, 2242241115244340 is an apocalyptic number.

242241115244340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242241115244340 is an abundant number, since it is smaller than the sum of its proper divisors (436038537422220).

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

242241115244340 is a wasteful number, since it uses less digits than its factorization.

242241115244340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26964192 (or 26964190 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

Adding to 242241115244340 its reverse (43442511142242), we get a palindrome (285683626386582).

The spelling of 242241115244340 in words is "two hundred forty-two trillion, two hundred forty-one billion, one hundred fifteen million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 150571 301142 451713 602284 752855 903426 1505710 1806852 2258565 3011420 4517130 9034260 26813609 53627218 80440827 107254436 134068045 160881654 268136090 321763308 402204135 536272180 804408270 1608816540 4037351920739 8074703841478 12112055762217 16149407682956 20186759603695 24224111524434 40373519207390 48448223048868 60560278811085 80747038414780 121120557622170 242241115244340