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241140130440 = 233511216607447
BaseRepresentation
bin1110000010010100010…
…0100110001010001000
3212001102110200211221020
43200211010212022020
512422323333133230
6302440033512440
723264451201156
oct3404504461210
9761373624836
10241140130440
11932a3354100
123a899412720
131997c663421
14b957c763d6
1564150bc810
hex3825126288

241140130440 has 96 divisors (see below), whose sum is σ = 795164610240. Its totient is φ = 58458209920.

The previous prime is 241140130421. The next prime is 241140130457. The reversal of 241140130440 is 44031041142.

241140130440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 241140130440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8289204 + ... + 8318243.

It is an arithmetic number, because the mean of its divisors is an integer number (8282964690).

Almost surely, 2241140130440 is an apocalyptic number.

241140130440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241140130440 is an abundant number, since it is smaller than the sum of its proper divisors (554024479800).

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

241140130440 is a wasteful number, since it uses less digits than its factorization.

241140130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607483 (or 16607468 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 241140130440 its reverse (44031041142), we get a palindrome (285171171582).

The spelling of 241140130440 in words is "two hundred forty-one billion, one hundred forty million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 16607447 33214894 49822341 66429788 83037235 99644682 132859576 166074470 182681917 199289364 249111705 332148940 365363834 398578728 498223410 548045751 664297880 730727668 913409585 996446820 1096091502 1461455336 1826819170 1992893640 2009501087 2192183004 2740228755 3653638340 4019002174 4384366008 5480457510 6028503261 7307276680 8038004348 10047505435 10960915020 12057006522 16076008696 20095010870 21921830040 24114013044 30142516305 40190021740 48228026088 60285032610 80380043480 120570065220 241140130440