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141342216 = 233171918233
BaseRepresentation
bin10000110110010…
…11011000001000
3100211221221001220
420123023120020
5242140422331
622005242040
73334250301
oct1033133010
9324857056
10141342216
1172869554
123b403320
132338a262
1414ab37a8
15c61e296
hex86cb608

141342216 has 64 divisors (see below), whose sum is σ = 393854400. Its totient is φ = 42006528.

The previous prime is 141342203. The next prime is 141342217. The reversal of 141342216 is 612243141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (141342217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365 + ... + 16868.

It is an arithmetic number, because the mean of its divisors is an integer number (6153975).

Almost surely, 2141342216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141342216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196927200).

141342216 is an abundant number, since it is smaller than the sum of its proper divisors (252512184).

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

141342216 is a wasteful number, since it uses less digits than its factorization.

141342216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18278 (or 18274 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 141342216 is about 11888.7432472907. The cubic root of 141342216 is about 520.9035277823.

Adding to 141342216 its reverse (612243141), we get a palindrome (753585357).

The spelling of 141342216 in words is "one hundred forty-one million, three hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 7752 18233 36466 54699 72932 109398 145864 218796 309961 346427 437592 619922 692854 929883 1039281 1239844 1385708 1859766 2078562 2479688 2771416 3719532 4157124 5889259 7439064 8314248 11778518 17667777 23557036 35335554 47114072 70671108 141342216