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141648037146 = 23371129240507
BaseRepresentation
bin1000001111101011100…
…0011000010100011010
3111112121200202211201000
42003322320120110122
54310043344142041
6145023333005430
713143112310220
oct2037270302432
9445550684630
10141648037146
1155088695910
1223551783876
13104851468c5
146bda468b10
153a4075dbb6
hex20fae1851a

141648037146 has 192 divisors, whose sum is σ = 406454031360. Its totient is φ = 35522141760.

The previous prime is 141648037127. The next prime is 141648037147. The reversal of 141648037146 is 641730846141.

141648037146 is a `hidden beast` number, since 1 + 4 + 164 + 80 + 371 + 46 = 666.

It is not an unprimeable number, because it can be changed into a prime (141648037147) 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 95 ways as a sum of consecutive naturals, for example, 3476625 + ... + 3517131.

It is an arithmetic number, because the mean of its divisors is an integer number (2116948080).

Almost surely, 2141648037146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141648037146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203227015680).

141648037146 is an abundant number, since it is smaller than the sum of its proper divisors (264805994214).

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

141648037146 is a wasteful number, since it uses less digits than its factorization.

141648037146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40594 (or 40559 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 141648037146 in words is "one hundred forty-one billion, six hundred forty-eight million, thirty-seven thousand, one hundred forty-six".