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141220128 = 2537316779
BaseRepresentation
bin10000110101011…
…01100100100000
3100211201201121010
420122231210200
5242123021003
622002500520
73333231330
oct1032554440
9324651533
10141220128
1172795855
123b364740
132334680a
1414a810c0
15c5e8003
hex86ad920

141220128 has 96 divisors (see below), whose sum is σ = 437391360. Its totient is φ = 39041280.

The previous prime is 141220117. The next prime is 141220129. The reversal of 141220128 is 821022141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (141220129) 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, 17443 + ... + 24221.

It is an arithmetic number, because the mean of its divisors is an integer number (4556160).

Almost surely, 2141220128 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 141220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218695680).

141220128 is an abundant number, since it is smaller than the sum of its proper divisors (296171232).

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

141220128 is a wasteful number, since it uses less digits than its factorization.

141220128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 141220128 is about 11883.6075330684. The cubic root of 141220128 is about 520.7535032734.

Adding to 141220128 its reverse (821022141), we get a palindrome (962242269).

The spelling of 141220128 in words is "one hundred forty-one million, two hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6779 6944 10416 13558 20337 20832 27116 40674 47453 54232 81348 94906 108464 142359 162696 189812 210149 216928 284718 325392 379624 420298 569436 630447 650784 759248 840596 1138872 1260894 1471043 1518496 1681192 2277744 2521788 2942086 3362384 4413129 4555488 5043576 5884172 6724768 8826258 10087152 11768344 17652516 20174304 23536688 35305032 47073376 70610064 141220128