Search a number
-
+
410341245344 = 2553397609437
BaseRepresentation
bin1011111100010100011…
…11101000000110100000
31110020011101110001201122
411332022033220012200
523210334324322334
6512301432551412
741434432015232
oct5761217500640
91406141401648
10410341245344
1114902aa32058
126763a552568
132c905c37c24
1415c09794252
15aa1971132e
hex5f8a3e81a0

410341245344 has 48 divisors (see below), whose sum is σ = 825176614248. Its totient is φ = 200792097792.

The previous prime is 410341245343. The next prime is 410341245371. The reversal of 410341245344 is 443542143014.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 400258675600 + 10082569744 = 632660^2 + 100412^2 .

It is not an unprimeable number, because it can be changed into a prime (410341245343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368594 + ... + 978030.

Almost surely, 2410341245344 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 410341245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412588307124).

410341245344 is an abundant number, since it is smaller than the sum of its proper divisors (414835368904).

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

410341245344 is a wasteful number, since it uses less digits than its factorization.

410341245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609897 (or 609889 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 410341245344 its reverse (443542143014), we get a palindrome (853883388358).

The spelling of 410341245344 in words is "four hundred ten billion, three hundred forty-one million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 53 106 212 397 424 794 848 1588 1696 3176 6352 12704 21041 42082 84164 168328 336656 609437 673312 1218874 2437748 4875496 9750992 19501984 32300161 64600322 129200644 241946489 258401288 483892978 516802576 967785956 1033605152 1935571912 3871143824 7742287648 12823163917 25646327834 51292655668 102585311336 205170622672 410341245344