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242242401140 = 225194787133169
BaseRepresentation
bin1110000110011011000…
…1011011001101110100
3212011021021211000001222
43201212301123031310
512432103023314030
6303141251205512
723333664302315
oct3414661331564
9764237730058
10242242401140
119380957a423
123ab465a6898
1319ac6b2a7cc
14ba2040660c
15647bc513e5
hex3866c5b374

242242401140 has 48 divisors (see below), whose sum is σ = 535599086400. Its totient is φ = 91777254912.

The previous prime is 242242401139. The next prime is 242242401143. The reversal of 242242401140 is 41104242242.

It is a happy number.

242242401140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242242401143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752476 + ... + 1885644.

It is an arithmetic number, because the mean of its divisors is an integer number (11158314300).

Almost surely, 2242242401140 is an apocalyptic number.

242242401140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242242401140 is an abundant number, since it is smaller than the sum of its proper divisors (293356685260).

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

242242401140 is a wasteful number, since it uses less digits than its factorization.

242242401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137984 (or 137982 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 242242401140 its reverse (41104242242), we get a palindrome (283346643382).

The spelling of 242242401140 in words is "two hundred forty-two billion, two hundred forty-two million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 4787 9574 19148 23935 47870 90953 95740 133169 181906 266338 363812 454765 532676 665845 909530 1331690 1819060 2530211 2663380 5060422 10120844 12651055 25302110 50604220 637480003 1274960006 2549920012 3187400015 6374800030 12112120057 12749600060 24224240114 48448480228 60560600285 121121200570 242242401140