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146201464116 = 22324061151781
BaseRepresentation
bin1000100000101001001…
…0010100110100110100
3111222101000211220020100
42020022102110310310
54343410033322431
6151055232434100
713364002640421
oct2101222246464
9458330756210
10146201464116
1157004a079a4
12244026a8930
1310a2c6085a6
14710d0c0d48
153c0a3a24e6
hex220a494d34

146201464116 has 18 divisors (see below), whose sum is σ = 369564812162. Its totient is φ = 48733821360.

The previous prime is 146201464069. The next prime is 146201464139. The reversal of 146201464116 is 611464102641.

146201464116 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 0 + 1 + 4 + 641 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126312003216 + 19889460900 = 355404^2 + 141030^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1462014641162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4061151781 = 146201464116 / (1 + 4 + 6 + 2 + 0 + 1 + 4 + 6 + 4 + 1 + 1 + 6).

It is a congruent number.

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, 2030575855 + ... + 2030575926.

Almost surely, 2146201464116 is an apocalyptic number.

It is an amenable number.

146201464116 is an abundant number, since it is smaller than the sum of its proper divisors (223363348046).

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

146201464116 is a wasteful number, since it uses less digits than its factorization.

146201464116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061151791 (or 4061151786 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 146201464116 its reverse (611464102641), we get a palindrome (757665566757).

The spelling of 146201464116 in words is "one hundred forty-six billion, two hundred one million, four hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 4061151781 8122303562 12183455343 16244607124 24366910686 36550366029 48733821372 73100732058 146201464116