Search a number
-
+
146115354112660 = 2257305767705633
BaseRepresentation
bin100001001110010000100001…
…110001110011001010010100
3201011100111021020220011200101
4201032100201301303022110
5123122423221123101120
61234432244513023444
742530325454421512
oct4116204161631224
9634314236804611
10146115354112660
11426141a01a48a9
121447a174554b84
13636b80759209a
1428120413bd4b2
1511d5be062090a
hex84e421c73294

146115354112660 has 12 divisors (see below), whose sum is σ = 306842243636628. Its totient is φ = 58446141645056.

The previous prime is 146115354112643. The next prime is 146115354112667. The reversal of 146115354112660 is 66211453511641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 86075605957636 + 60039748155024 = 9277694^2 + 7748532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146115354112660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146115354112667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3652883852797 + ... + 3652883852836.

It is an arithmetic number, because the mean of its divisors is an integer number (25570186969719).

Almost surely, 2146115354112660 is an apocalyptic number.

146115354112660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146115354112660 is an abundant number, since it is smaller than the sum of its proper divisors (160726889523968).

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

146115354112660 is a wasteful number, since it uses less digits than its factorization.

146115354112660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305767705642 (or 7305767705640 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 146115354112660 in words is "one hundred forty-six trillion, one hundred fifteen billion, three hundred fifty-four million, one hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 7305767705633 14611535411266 29223070822532 36528838528165 73057677056330 146115354112660