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141104000 = 27538819
BaseRepresentation
bin10000110100100…
…01001110000000
3100211111211022002
420122101032000
5242110312000
622000203132
73332235632
oct1032211600
9324454262
10141104000
1172716584
123b3094a8
13233059bb
1414a50a52
15c5c38d5
hex8691380

141104000 has 64 divisors (see below), whose sum is σ = 350859600. Its totient is φ = 56435200.

The previous prime is 141103999. The next prime is 141104017. The reversal of 141104000 is 401141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11591 + ... + 20409.

Almost surely, 2141104000 is an apocalyptic number.

141104000 is a gapful number since it is divisible by the number (10) 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 141104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175429800).

141104000 is an abundant number, since it is smaller than the sum of its proper divisors (209755600).

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

141104000 is an frugal number, since it uses more digits than its factorization.

141104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 141104000 is about 11878.7204698149. The cubic root of 141104000 is about 520.6107222889.

Adding to 141104000 its reverse (401141), we get a palindrome (141505141).

It can be divided in two parts, 14110 and 4000, that multiplied together give a triangular number (56440000 = T10624).

The spelling of 141104000 in words is "one hundred forty-one million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 8819 16000 17638 35276 44095 70552 88190 141104 176380 220475 282208 352760 440950 564416 705520 881900 1102375 1128832 1411040 1763800 2204750 2822080 3527600 4409500 5644160 7055200 8819000 14110400 17638000 28220800 35276000 70552000 141104000