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141002424 = 23333112099
BaseRepresentation
bin10000110011110…
…00011010111000
3100211022122222000
420121320122320
5242044034144
621554101000
73331333533
oct1031703270
9324278860
10141002424
1172657232
123b27a760
132329b6b4
1414a25a1a
15c5a3769
hex86786b8

141002424 has 64 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 46827360.

The previous prime is 141002423. The next prime is 141002429. The reversal of 141002424 is 424200141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141002397 and 141002406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141002423) by changing a digit.

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, 66127 + ... + 68225.

It is an arithmetic number, because the mean of its divisors is an integer number (6142500).

Almost surely, 2141002424 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 141002424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

141002424 is an abundant number, since it is smaller than the sum of its proper divisors (252117576).

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

141002424 is a wasteful number, since it uses less digits than its factorization.

141002424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 141002424 is about 11874.4441554121. Note that the first 3 decimals coincide. The cubic root of 141002424 is about 520.4857689471.

Adding to 141002424 its reverse (424200141), we get a palindrome (565202565).

The spelling of 141002424 in words is "one hundred forty-one million, two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 311 622 933 1244 1866 2099 2488 2799 3732 4198 5598 6297 7464 8396 8397 11196 12594 16792 16794 18891 22392 25188 33588 37782 50376 56673 67176 75564 113346 151128 226692 453384 652789 1305578 1958367 2611156 3916734 5222312 5875101 7833468 11750202 15666936 17625303 23500404 35250606 47000808 70501212 141002424