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141302943695808 = 2635891276531231
BaseRepresentation
bin100000001000001110100111…
…110000111100001111000000
3200112022102121002200020100000
4200020032213300330033000
5122010101412041231213
61220305402020200000
741522541446001126
oct4010164760741700
9615272532606300
10141302943695808
1141029272a57694
1213a21559b39000
1360aca6c63767b
1426c71557c3916
151150931a82c73
hex8083a7c3c3c0

141302943695808 has 672 divisors, whose sum is σ = 429087674695680. Its totient is φ = 46096814776320.

The previous prime is 141302943695801. The next prime is 141302943695867. The reversal of 141302943695808 is 808596349203141.

141302943695808 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 2 + 9 + 43 + 6 + 9 + 580 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141302943695801) 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 95 ways as a sum of consecutive naturals, for example, 114787118553 + ... + 114787119783.

It is an arithmetic number, because the mean of its divisors is an integer number (638523325440).

Almost surely, 2141302943695808 is an apocalyptic number.

141302943695808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141302943695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214543837347840).

141302943695808 is an abundant number, since it is smaller than the sum of its proper divisors (287784730999872).

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

141302943695808 is a wasteful number, since it uses less digits than its factorization.

141302943695808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 141302943695808 in words is "one hundred forty-one trillion, three hundred two billion, nine hundred forty-three million, six hundred ninety-five thousand, eight hundred eight".