Search a number
-
+
130214321215504 = 24101149540793081
BaseRepresentation
bin11101100110110111100010…
…010111000101100000010000
3122002001100220221012002200021
4131212313202113011200100
5114031412412212344004
61140535344445233224
736266450161034401
oct3546674227054020
9562040827162607
10130214321215504
1138543646711619
12127304a8862814
1357872088cb776
14242259a28d9a8
15100c28ee50d54
hex766de25c5810

130214321215504 has 40 divisors (see below), whose sum is σ = 256498158792600. Its totient is φ = 64029900672000.

The previous prime is 130214321215493. The next prime is 130214321215553. The reversal of 130214321215504 is 405512123412031.

It can be written as a sum of positive squares in 4 ways, for example, as 40994055075600 + 89220266139904 = 6402660^2 + 9445648^2 .

It is a super-2 number, since 2×1302143212155042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130214321215504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270155757 + ... + 270637324.

It is an arithmetic number, because the mean of its divisors is an integer number (6412453969815).

Almost surely, 2130214321215504 is an apocalyptic number.

It is an amenable number.

130214321215504 is a deficient number, since it is larger than the sum of its proper divisors (126283837577096).

130214321215504 is a wasteful number, since it uses less digits than its factorization.

130214321215504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540793339 (or 540793333 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 130214321215504 its reverse (405512123412031), we get a palindrome (535726444627535).

The spelling of 130214321215504 in words is "one hundred thirty trillion, two hundred fourteen billion, three hundred twenty-one million, two hundred fifteen thousand, five hundred four".

Divisors: 1 2 4 8 16 101 149 202 298 404 596 808 1192 1616 2384 15049 30098 60196 120392 240784 540793081 1081586162 2163172324 4326344648 8652689296 54620101181 80578169069 109240202362 161156338138 218480404724 322312676276 436960809448 644625352552 873921618896 1289250705104 8138395075969 16276790151938 32553580303876 65107160607752 130214321215504