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333012145140 = 223251850067473
BaseRepresentation
bin1001101100010010001…
…00100001001111110100
31011211120012002202110100
410312021010201033310
520424002102121030
6412552245554100
733026231346423
oct4661104411764
91154505082410
10333012145140
11119258746584
1254659115930
132553126b2bc
14121916352ba
1589e097a360
hex4d891213f4

333012145140 has 36 divisors (see below), whose sum is σ = 1010136840804. Its totient is φ = 88803238656.

The previous prime is 333012145129. The next prime is 333012145157. The reversal of 333012145140 is 41541210333.

It is a happy number.

333012145140 is a `hidden beast` number, since 3 + 3 + 301 + 214 + 5 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186577346916 + 146434798224 = 431946^2 + 382668^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3330121451402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 925033557 + ... + 925033916.

It is an arithmetic number, because the mean of its divisors is an integer number (28059356689).

Almost surely, 2333012145140 is an apocalyptic number.

333012145140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

333012145140 is an abundant number, since it is smaller than the sum of its proper divisors (677124695664).

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

333012145140 is a wasteful number, since it uses less digits than its factorization.

333012145140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850067488 (or 1850067483 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 333012145140 its reverse (41541210333), we get a palindrome (374553355473).

The spelling of 333012145140 in words is "three hundred thirty-three billion, twelve million, one hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1850067473 3700134946 5550202419 7400269892 9250337365 11100404838 16650607257 18500674730 22200809676 27751012095 33301214514 37001349460 55502024190 66602429028 83253036285 111004048380 166506072570 333012145140