Search a number
-
+
3533141240226 = 23213283311171553
BaseRepresentation
bin110011011010011111101…
…000001110100110100010
3110111202122200120102120100
4303122133220032212202
5430341333124141401
611303034102323230
7513155351012163
oct63323750164642
913452580512510
103533141240226
111142440137504
124908b5a29516
131c8234a79ca0
14c300d81576a
1561d89b43b86
hex3369fa0e9a2

3533141240226 has 96 divisors (see below), whose sum is σ = 8299777030272. Its totient is φ = 1079789460480.

The previous prime is 3533141240143. The next prime is 3533141240243. The reversal of 3533141240226 is 6220421413353.

3533141240226 is a `hidden beast` number, since 3 + 53 + 3 + 141 + 240 + 226 = 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, 20509266 + ... + 20680818.

It is an arithmetic number, because the mean of its divisors is an integer number (86456010732).

Almost surely, 23533141240226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3533141240226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149888515136).

3533141240226 is an abundant number, since it is smaller than the sum of its proper divisors (4766635790046).

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

3533141240226 is a wasteful number, since it uses less digits than its factorization.

3533141240226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172168 (or 172165 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 3533141240226 its reverse (6220421413353), we get a palindrome (9753562653579).

The spelling of 3533141240226 in words is "three trillion, five hundred thirty-three billion, one hundred forty-one million, two hundred forty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 283 311 566 622 849 933 1698 1866 2547 2799 3679 4043 5094 5598 7358 8086 11037 12129 22074 24258 33111 36387 66222 72774 88013 171553 176026 264039 343106 514659 528078 792117 1029318 1144169 1543977 1584234 2230189 2288338 3087954 3432507 4460378 6690567 6865014 10297521 13381134 20071701 20595042 40143402 48549499 53352983 97098998 106705966 145648497 160058949 291296994 320117898 436945491 480176847 631143487 693588779 873890982 960353694 1262286974 1387177558 1893430461 2080766337 3786860922 4161532674 5680291383 6242299011 11360582766 12484598022 15098894189 30197788378 45296682567 90593365134 135890047701 196285624457 271780095402 392571248914 588856873371 1177713746742 1766570620113 3533141240226