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241321031406 = 233713371327267
BaseRepresentation
bin1110000010111111011…
…0101011011011101110
3212001220002002120102000
43200233312223123232
512423211141001111
6302510015113130
723302105631220
oct3405766533356
9761802076360
10241321031406
1193386481734
123a929b127a6
13199aac91410
14b973cc6410
156425e02c56
hex382fdab6ee

241321031406 has 128 divisors (see below), whose sum is σ = 677862312960. Its totient is φ = 61924922496.

The previous prime is 241321031401. The next prime is 241321031429. The reversal of 241321031406 is 604130123142.

It is a happy number.

241321031406 is a `hidden beast` number, since 2 + 4 + 13 + 210 + 31 + 406 = 666.

It is a super-3 number, since 3×2413210314063 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 241321031406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241321031401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481816 + ... + 845451.

It is an arithmetic number, because the mean of its divisors is an integer number (5295799320).

Almost surely, 2241321031406 is an apocalyptic number.

241321031406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

241321031406 is an abundant number, since it is smaller than the sum of its proper divisors (436541281554).

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

241321031406 is a wasteful number, since it uses less digits than its factorization.

241321031406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327335 (or 1327329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 241321031406 its reverse (604130123142), we get a palindrome (845451154548).

The spelling of 241321031406 in words is "two hundred forty-one billion, three hundred twenty-one million, thirty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 37 39 42 54 63 74 78 91 111 117 126 182 189 222 234 259 273 333 351 378 481 518 546 666 702 777 819 962 999 1443 1554 1638 1998 2331 2457 2886 3367 4329 4662 4914 6734 6993 8658 10101 12987 13986 20202 25974 30303 60606 90909 181818 1327267 2654534 3981801 7963602 9290869 11945403 17254471 18581738 23890806 27872607 34508942 35836209 49108879 51763413 55745214 71672418 83617821 98217758 103526826 120781297 147326637 155290239 167235642 241562594 250853463 294653274 310580478 343762153 362343891 441979911 465870717 501706926 638415427 687524306 724687782 883959822 931741434 1031286459 1087031673 1276830854 1325939733 1915246281 2062572918 2174063346 2651879466 3093859377 3261095019 3830492562 4468907989 5745738843 6187718754 6522190038 8937815978 9281578131 11491477686 13406723967 17237216529 18563156262 26813447934 34474433058 40220171901 80440343802 120660515703 241321031406