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434140440244 = 227374310791079
BaseRepresentation
bin1100101000101001100…
…10010110011010110100
31112111120222211102121121
412110110302112122310
524103104423041434
6531235200153324
743236255566140
oct6242462263264
91474528742547
10434140440244
11158132a62475
1270180908844
1331c29757684
141702647c220
15b45dc897b4
hex6514c966b4

434140440244 has 96 divisors (see below), whose sum is σ = 921024276480. Its totient is φ = 175167038592.

The previous prime is 434140440241. The next prime is 434140440317. The reversal of 434140440244 is 442044041434.

It is a super-4 number, since 4×4341404402444 (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434140440241) 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, 4721097 + ... + 4812175.

It is an arithmetic number, because the mean of its divisors is an integer number (9594002880).

Almost surely, 2434140440244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434140440244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460512138240).

434140440244 is an abundant number, since it is smaller than the sum of its proper divisors (486883836236).

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

434140440244 is a wasteful number, since it uses less digits than its factorization.

434140440244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91277 (or 91275 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 434140440244 its reverse (442044041434), we get a palindrome (876184481678).

The spelling of 434140440244 in words is "four hundred thirty-four billion, one hundred forty million, four hundred forty thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 37 43 74 86 107 148 172 214 259 301 428 518 602 749 1036 1204 1498 1591 2996 3182 3959 4601 6364 7918 9202 11137 15836 18404 22274 27713 32207 44548 55426 64414 91079 110852 128828 170237 182158 340474 364316 637553 680948 1191659 1275106 2383318 2550212 3369923 3916397 4766636 6739846 7832794 9745453 13479692 15665588 19490906 23589461 27414779 38981812 47178922 54829558 68218171 94357844 109659116 136436342 144906689 272872684 289813378 360581761 419054479 579626756 721163522 838108958 1014346823 1442327044 1676217916 2028693646 2524072327 2933381353 4057387292 5048144654 5866762706 10096289308 11733525412 15505015723 31010031446 62020062892 108535110061 217070220122 434140440244