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141105056 = 25311031381
BaseRepresentation
bin10000110100100…
…01011110100000
3100211111212202012
420122101132200
5242110330211
622000212052
73332242001
oct1032213640
9324455665
10141105056
1172717354
123b30a028
1323306321
1414a511a8
15c5c3d8b
hex86917a0

141105056 has 48 divisors (see below), whose sum is σ = 289755648. Its totient is φ = 67564800.

The previous prime is 141105007. The next prime is 141105071. The reversal of 141105056 is 650501141.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 101486 + ... + 102866.

It is an arithmetic number, because the mean of its divisors is an integer number (6036576).

Almost surely, 2141105056 is an apocalyptic number.

141105056 is a gapful number since it is divisible by the number (16) 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 141105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144877824).

141105056 is an abundant number, since it is smaller than the sum of its proper divisors (148650592).

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

141105056 is a wasteful number, since it uses less digits than its factorization.

141105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 141105056 is about 11878.7649189636. The cubic root of 141105056 is about 520.6120210084.

Adding to 141105056 its reverse (650501141), we get a palindrome (791606197).

The spelling of 141105056 in words is "one hundred forty-one million, one hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 103 124 206 248 412 496 824 992 1381 1648 2762 3193 3296 5524 6386 11048 12772 22096 25544 42811 44192 51088 85622 102176 142243 171244 284486 342488 568972 684976 1137944 1369952 2275888 4409533 4551776 8819066 17638132 35276264 70552528 141105056