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41132141000 = 235360767763
BaseRepresentation
bin100110010011101010…
…101010100111001000
310221011120101020222122
4212103222222213020
51133214312003000
630521300310412
72654202300266
oct462352524710
9127146336878
1041132141000
1116498026365
127b7b0a2408
133b567a7892
141dc2ab5436
15110b0bb085
hex993aaa9c8

41132141000 has 64 divisors (see below), whose sum is σ = 96409198080. Its totient is φ = 16425508800.

The previous prime is 41132140999. The next prime is 41132141003. The reversal of 41132141000 is 14123114.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41132141000.

It is not an unprimeable number, because it can be changed into a prime (41132141003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573119 + ... + 640881.

It is an arithmetic number, because the mean of its divisors is an integer number (1506393720).

Almost surely, 241132141000 is an apocalyptic number.

41132141000 is a gapful number since it is divisible by the number (40) 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 41132141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48204599040).

41132141000 is an abundant number, since it is smaller than the sum of its proper divisors (55277057080).

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

41132141000 is a wasteful number, since it uses less digits than its factorization.

41132141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68391 (or 68377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 41132141000 its reverse (14123114), we get a palindrome (41146264114).

The spelling of 41132141000 in words is "forty-one billion, one hundred thirty-two million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 607 1000 1214 2428 3035 4856 6070 12140 15175 24280 30350 60700 67763 75875 121400 135526 151750 271052 303500 338815 542104 607000 677630 1355260 1694075 2710520 3388150 6776300 8470375 13552600 16940750 33881500 41132141 67763000 82264282 164528564 205660705 329057128 411321410 822642820 1028303525 1645285640 2056607050 4113214100 5141517625 8226428200 10283035250 20566070500 41132141000