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141514718085 = 35513292271361
BaseRepresentation
bin1000001111001011101…
…1110011101110000101
3111112021101220112100000
42003302323303232011
54304310231434320
6145002211311513
713136603154006
oct2036273635605
9445241815300
10141514718085
115501a407274
1223514bab599
13104636384a0
146bc68831ad
153a33bc6c90
hex20f2ef3b85

141514718085 has 192 divisors, whose sum is σ = 284848462080. Its totient is φ = 66920878080.

The previous prime is 141514718063. The next prime is 141514718087. The reversal of 141514718085 is 580817415141.

It is a happy number.

141514718085 is a `hidden beast` number, since 1 + 41 + 514 + 7 + 18 + 0 + 85 = 666.

It is not a de Polignac number, because 141514718085 - 214 = 141514701701 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 141514718085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141514718087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103977805 + ... + 103979165.

It is an arithmetic number, because the mean of its divisors is an integer number (1483585740).

Almost surely, 2141514718085 is an apocalyptic number.

141514718085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141514718085 is an abundant number, since it is smaller than the sum of its proper divisors (143333743995).

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

141514718085 is a wasteful number, since it uses less digits than its factorization.

141514718085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 141514718085 in words is "one hundred forty-one billion, five hundred fourteen million, seven hundred eighteen thousand, eighty-five".