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141442686 = 234711172329
BaseRepresentation
bin10000110111000…
…11111001111110
3100212011000220000
420123203321332
5242202131221
622011335130
73335146230
oct1033437176
9325130800
10141442686
1172927a90
123b4514a6
13233c3bc8
1414adc250
15c63de26
hex86e3e7e

141442686 has 320 divisors, whose sum is σ = 451630080. Its totient is φ = 31933440.

The previous prime is 141442673. The next prime is 141442687. The reversal of 141442686 is 686244141.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 141442686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141442687) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 4877320 + ... + 4877348.

It is an arithmetic number, because the mean of its divisors is an integer number (1411344).

Almost surely, 2141442686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141442686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225815040).

141442686 is an abundant number, since it is smaller than the sum of its proper divisors (310187394).

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

141442686 is a wasteful number, since it uses less digits than its factorization.

141442686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 141442686 is about 11892.9679222640. The cubic root of 141442686 is about 521.0269228145.

It can be divided in two parts, 1414 and 42686, that added together give a square (44100 = 2102).

The spelling of 141442686 in words is "one hundred forty-one million, four hundred forty-two thousand, six hundred eighty-six".