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241011131143140 = 2232537311911602391
BaseRepresentation
bin110110110011001011000110…
…110110111101001111100100
31011121100102212010012011011200
4312303023012312331033210
5223042211244033040030
62212330552443202500
7101523323335314621
oct6663130666751744
91147312763164150
10241011131143140
116a880279423966
12230456a4216430
13a463337c756b7
1443730029d3348
151cce3bc868d60
hexdb32c6dbd3e4

241011131143140 has 144 divisors (see below), whose sum is σ = 751066459153920. Its totient is φ = 62512563490560.

The previous prime is 241011131143129. The next prime is 241011131143231. The reversal of 241011131143140 is 41341131110142.

241011131143140 is a `hidden beast` number, since 2 + 4 + 101 + 113 + 11 + 431 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14971345 + ... + 26573735.

It is an arithmetic number, because the mean of its divisors is an integer number (5215739299680).

Almost surely, 2241011131143140 is an apocalyptic number.

241011131143140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241011131143140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375533229576960).

241011131143140 is an abundant number, since it is smaller than the sum of its proper divisors (510055328010780).

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

241011131143140 is a wasteful number, since it uses less digits than its factorization.

241011131143140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11605562 (or 11605557 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 241011131143140 its reverse (41341131110142), we get a palindrome (282352262253282).

The spelling of 241011131143140 in words is "two hundred forty-one trillion, eleven billion, one hundred thirty-one million, one hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3119 3330 6238 6660 9357 12476 15595 18714 28071 31190 37428 46785 56142 62380 93570 112284 115403 140355 187140 230806 280710 346209 461612 561420 577015 692418 1038627 1154030 1384836 1731045 2077254 2308060 3462090 4154508 5193135 6924180 10386270 11602391 20772540 23204782 34807173 46409564 58011955 69614346 104421519 116023910 139228692 174035865 208843038 232047820 348071730 417686076 429288467 522107595 696143460 858576934 1044215190 1287865401 1717153868 2088430380 2146442335 2575730802 3863596203 4292884670 5151461604 6439327005 7727192406 8585769340 12878654010 15454384812 19317981015 25757308020 36187857529 38635962030 72375715058 77271924060 108563572587 144751430116 180939287645 217127145174 325690717761 361878575290 434254290348 542817862935 651381435522 723757150580 1085635725870 1302762871044 1338950728573 1628453588805 2171271451740 2677901457146 3256907177610 4016852185719 5355802914292 6513814355220 6694753642865 8033704371438 12050556557157 13389507285730 16067408742876 20084260928595 24101113114314 26779014571460 40168521857190 48202226228628 60252782785785 80337043714380 120505565571570 241011131143140