Search a number
-
+
2430320444145 = 3251135313908607
BaseRepresentation
bin100011010111011010011…
…000110000001011110001
322121100002012200101001200
4203113122120300023301
5304304244013203040
65100250201321413
7340404414633306
oct43273230601361
98540065611050
102430320444145
11857769594690
12333019496269
13148241772c09
14858b18730ad
15433416eb630
hex235da6302f1

2430320444145 has 48 divisors (see below), whose sum is σ = 4608533809152. Its totient is φ = 1174999034880.

The previous prime is 2430320444119. The next prime is 2430320444207. The reversal of 2430320444145 is 5414440230342.

2430320444145 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 3 + 204 + 441 + 4 + 5 = 666.

It is not a de Polignac number, because 2430320444145 - 215 = 2430320411377 is a prime.

It is a super-2 number, since 2×24303204441452 (a number of 26 digits) contains 22 as substring.

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, 6779569 + ... + 7129038.

It is an arithmetic number, because the mean of its divisors is an integer number (96011121024).

Almost surely, 22430320444145 is an apocalyptic number.

It is an amenable number.

2430320444145 is a deficient number, since it is larger than the sum of its proper divisors (2178213365007).

2430320444145 is a wasteful number, since it uses less digits than its factorization.

2430320444145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13908982 (or 13908979 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 2430320444145 its reverse (5414440230342), we get a palindrome (7844760674487).

The spelling of 2430320444145 in words is "two trillion, four hundred thirty billion, three hundred twenty million, four hundred forty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 353 495 1059 1765 3177 3883 5295 11649 15885 19415 34947 58245 174735 13908607 41725821 69543035 125177463 152994677 208629105 458984031 625887315 764973385 1376952093 2294920155 4909738271 6884760465 14729214813 24548691355 44187644439 54007120981 73646074065 162021362943 220938222195 270035604905 486064088829 810106814715 2430320444145