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141384816 = 24328231193
BaseRepresentation
bin10000110110101…
…01110001110000
3100212001002111200
420123111301300
5242143303231
622010211200
73334515426
oct1033256160
9325032450
10141384816
1172898561
123b423b00
13233a3771
1414ac5116
15c62bbe6
hex86d5c70

141384816 has 60 divisors (see below), whose sum is σ = 396493968. Its totient is φ = 47031552.

The previous prime is 141384797. The next prime is 141384821. The reversal of 141384816 is 618483141.

It is a happy number.

141384816 is a `hidden beast` number, since 141 + 38 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 117916 + ... + 119108.

Almost surely, 2141384816 is an apocalyptic number.

141384816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141384816 is an abundant number, since it is smaller than the sum of its proper divisors (255109152).

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

141384816 is a wasteful number, since it uses less digits than its factorization.

141384816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2021 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 141384816 is about 11890.5347230476. The cubic root of 141384816 is about 520.9558552984.

The spelling of 141384816 in words is "one hundred forty-one million, three hundred eighty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 823 1193 1646 2386 2469 3292 3579 4772 4938 6584 7158 7407 9544 9876 10737 13168 14316 14814 19088 19752 21474 28632 29628 39504 42948 57264 59256 85896 118512 171792 981839 1963678 2945517 3927356 5891034 7854712 8836551 11782068 15709424 17673102 23564136 35346204 47128272 70692408 141384816