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146281805352 = 23322031691741
BaseRepresentation
bin1000100000111100010…
…0110011011000101000
3111222120122000122200200
42020033010303120220
54344041120232402
6151111222432200
713365666554424
oct2101704633050
9458518018620
10146281805352
11570462a1511
1224425592660
1310a43158097
147119a35b84
153c1247221c
hex220f133628

146281805352 has 24 divisors (see below), whose sum is σ = 396179889690. Its totient is φ = 48760601760.

The previous prime is 146281805317. The next prime is 146281805389. The reversal of 146281805352 is 253508182641.

146281805352 is a `hidden beast` number, since 1 + 4 + 628 + 18 + 0 + 5 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113101725636 + 33180079716 = 336306^2 + 182154^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 146281805298 and 146281805307.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1015845799 + ... + 1015845942.

Almost surely, 2146281805352 is an apocalyptic number.

146281805352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146281805352 is an abundant number, since it is smaller than the sum of its proper divisors (249898084338).

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

146281805352 is a wasteful number, since it uses less digits than its factorization.

146281805352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031691753 (or 2031691746 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

Adding to 146281805352 its reverse (253508182641), we get a palindrome (399789987993).

The spelling of 146281805352 in words is "one hundred forty-six billion, two hundred eighty-one million, eight hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2031691741 4063383482 6095075223 8126766964 12190150446 16253533928 18285225669 24380300892 36570451338 48760601784 73140902676 146281805352