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141342040 = 23571513343
BaseRepresentation
bin10000110110010…
…11010101011000
3100211221220211101
420123023111120
5242140421130
622005241144
73334246630
oct1033132530
9324856741
10141342040
1172869404
123b4031b4
132338a158
1414ab36c0
15c61e1ca
hex86cb558

141342040 has 64 divisors (see below), whose sum is σ = 365967360. Its totient is φ = 48124800.

The previous prime is 141342037. The next prime is 141342041. The reversal of 141342040 is 40243141.

141342040 = T107 + T108 + ... + T946.

It is a super-5 number, since 5×1413420405 (a number of 42 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141341999 and 141342017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141342041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40609 + ... + 43951.

It is an arithmetic number, because the mean of its divisors is an integer number (5718240).

Almost surely, 2141342040 is an apocalyptic number.

141342040 is a gapful number since it is divisible by the number (10) 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 141342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182983680).

141342040 is an abundant number, since it is smaller than the sum of its proper divisors (224625320).

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

141342040 is a wasteful number, since it uses less digits than its factorization.

141342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 141342040 is about 11888.7358453286. The cubic root of 141342040 is about 520.9033115716.

Adding to 141342040 its reverse (40243141), we get a palindrome (181585181).

The spelling of 141342040 in words is "one hundred forty-one million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 1057 1208 1510 2114 3020 3343 4228 5285 6040 6686 8456 10570 13372 16715 21140 23401 26744 33430 42280 46802 66860 93604 117005 133720 187208 234010 468020 504793 936040 1009586 2019172 2523965 3533551 4038344 5047930 7067102 10095860 14134204 17667755 20191720 28268408 35335510 70671020 141342040