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241342401313000 = 23531331159693891
BaseRepresentation
bin110110110111111111101000…
…000110010111100011101000
31011122112002220220110101210001
4312313333220012113203220
5223113123214214004000
62213143100224432344
7101556261455306251
oct6667775006274350
91148462826411701
10241342401313000
116a998812837649
1223099935a786b4
13a48864c35b7a0
14438506ab37b28
151cd7d0a3ed46a
hexdb7fe81978e8

241342401313000 has 128 divisors (see below), whose sum is σ = 610138433399040. Its totient is φ = 88824508320000.

The previous prime is 241342401312959. The next prime is 241342401313001. The reversal of 241342401313000 is 313104243142.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 241342401313000.

It is not an unprimeable number, because it can be changed into a prime (241342401313001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25803946 + ... + 33889945.

It is an arithmetic number, because the mean of its divisors is an integer number (4766706510930).

Almost surely, 2241342401313000 is an apocalyptic number.

241342401313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241342401313000 is an abundant number, since it is smaller than the sum of its proper divisors (368796032086040).

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

241342401313000 is a wasteful number, since it uses less digits than its factorization.

241342401313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59694236 (or 59694222 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 241342401313000 its reverse (313104243142), we get a palindrome (241655505556142).

The spelling of 241342401313000 in words is "two hundred forty-one trillion, three hundred forty-two billion, four hundred one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 311 325 500 520 622 650 1000 1244 1300 1555 1625 2488 2600 3110 3250 4043 6220 6500 7775 8086 12440 13000 15550 16172 20215 31100 32344 38875 40430 62200 77750 80860 101075 155500 161720 202150 311000 404300 505375 808600 1010750 2021500 4043000 59693891 119387782 238775564 298469455 477551128 596938910 776020583 1193877820 1492347275 1552041166 2387755640 2984694550 3104082332 3880102915 5969389100 6208164664 7461736375 7760205830 11938778200 14923472750 15520411660 18564800101 19400514575 29846945500 31040823320 37129600202 38801029150 59693891000 74259200404 77602058300 92824000505 97002572875 148518400808 155204116600 185648001010 194005145750 241342401313 371296002020 388010291500 464120002525 482684802626 742592004040 776020583000 928240005050 965369605252 1206712006565 1856480010100 1930739210504 2320600012625 2413424013130 3712960020200 4641200025250 4826848026260 6033560032825 9282400050500 9653696052520 12067120065650 18564800101000 24134240131300 30167800164125 48268480262600 60335600328250 120671200656500 241342401313000