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141213184 = 29731241
BaseRepresentation
bin10000110101010…
…11111000000000
3100211201101001221
420122223320000
5242122310214
622002404424
73333202150
oct1032537000
9324641057
10141213184
1172790612
123b360714
13233435c8
1414a7c760
15c5e5e24
hex86abe00

141213184 has 120 divisors (see below), whose sum is σ = 341321904. Its totient is φ = 57139200.

The previous prime is 141213181. The next prime is 141213197. The reversal of 141213184 is 481312141.

Its product of digits (768) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141213181) 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 11 ways as a sum of consecutive naturals, for example, 3444204 + ... + 3444244.

Almost surely, 2141213184 is an apocalyptic number.

141213184 is a gapful number since it is divisible by the number (14) 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 141213184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170660952).

141213184 is an abundant number, since it is smaller than the sum of its proper divisors (200108720).

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

141213184 is an frugal number, since it uses more digits than its factorization.

141213184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 81 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 141213184 is about 11883.3153623053. The cubic root of 141213184 is about 520.7449677300.

The spelling of 141213184 in words is "one hundred forty-one million, two hundred thirteen thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 128 164 217 224 248 256 287 328 434 448 496 512 574 656 868 896 961 992 1148 1271 1312 1736 1792 1922 1984 2296 2542 2624 3472 3584 3844 3968 4592 5084 5248 6727 6944 7688 7936 8897 9184 10168 10496 13454 13888 15376 15872 17794 18368 20336 20992 26908 27776 30752 35588 36736 39401 40672 53816 55552 61504 71176 73472 78802 81344 107632 111104 123008 142352 146944 157604 162688 215264 246016 275807 284704 315208 325376 430528 492032 551614 569408 630416 650752 861056 1103228 1138816 1260832 1722112 2206456 2277632 2521664 3444224 4412912 4555264 5043328 8825824 10086656 17651648 20173312 35303296 70606592 141213184