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141143664 = 24353109509
BaseRepresentation
bin10000110100110…
…10111001110000
3100211120211201010
420122122321300
5242113044124
622001110520
73332462364
oct1032327160
9324524633
10141143664
1172743362
123b328440
132331aa7c
1414a612a4
15c5d0529
hex869ae70

141143664 has 80 divisors (see below), whose sum is σ = 375645600. Its totient is φ = 45646848.

The previous prime is 141143659. The next prime is 141143683. The reversal of 141143664 is 466341141.

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 15 ways as a sum of consecutive naturals, for example, 277042 + ... + 277550.

It is an arithmetic number, because the mean of its divisors is an integer number (4695570).

Almost surely, 2141143664 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 141143664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187822800).

141143664 is an abundant number, since it is smaller than the sum of its proper divisors (234501936).

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

141143664 is a wasteful number, since it uses less digits than its factorization.

141143664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 141143664 is about 11880.3898925919. The cubic root of 141143664 is about 520.6594985323.

The spelling of 141143664 in words is "one hundred forty-one million, one hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 109 159 212 218 318 327 424 436 509 636 654 848 872 1018 1272 1308 1527 1744 2036 2544 2616 3054 4072 5232 5777 6108 8144 11554 12216 17331 23108 24432 26977 34662 46216 53954 55481 69324 80931 92432 107908 110962 138648 161862 166443 215816 221924 277296 323724 332886 431632 443848 647448 665772 887696 1294896 1331544 2663088 2940493 5880986 8821479 11761972 17642958 23523944 35285916 47047888 70571832 141143664