Search a number
-
+
1325440514304 = 28322325012087
BaseRepresentation
bin10011010010011010011…
…010010011100100000000
311200201012020011111001200
4103102122122103210000
5133204000232424204
62452522102101200
7164521436324124
oct23223232234400
94621166144050
101325440514304
11471130686125
12194a6741a800
1397cb0988bba
144821a241584
1524727610539
hex1349a693900

1325440514304 has 108 divisors (see below), whose sum is σ = 3987727214016. Its totient is φ = 422604205056.

The previous prime is 1325440514257. The next prime is 1325440514347. The reversal of 1325440514304 is 4034150445231.

1325440514304 is a `hidden beast` number, since 1 + 32 + 544 + 0 + 51 + 4 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12453052 + ... + 12559035.

Almost surely, 21325440514304 is an apocalyptic number.

It is an amenable number.

1325440514304 is an abundant number, since it is smaller than the sum of its proper divisors (2662286699712).

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

1325440514304 is a wasteful number, since it uses less digits than its factorization.

1325440514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25012132 (or 25012115 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 1325440514304 its reverse (4034150445231), we get a palindrome (5359590959535).

The spelling of 1325440514304 in words is "one trillion, three hundred twenty-five billion, four hundred forty million, five hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2944 3312 4416 5888 6624 8832 13248 17664 26496 52992 25012087 50024174 75036261 100048348 150072522 200096696 225108783 300145044 400193392 450217566 575278001 600290088 800386784 900435132 1150556002 1200580176 1600773568 1725834003 1800870264 2301112004 2401160352 3201547136 3451668006 3601740528 4602224008 4802320704 5177502009 6403094272 6903336012 7203481056 9204448016 9604641408 10355004018 13806672024 14406962112 18408896032 19209282816 20710008036 27613344048 28813924224 36817792064 41420016072 55226688096 57627848448 73635584128 82840032144 110453376192 147271168256 165680064288 220906752384 331360128576 441813504768 662720257152 1325440514304