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41134286200 = 23527148719759
BaseRepresentation
bin100110010011110010…
…110110010101111000
310221011201102020122111
4212103302312111320
51133220334124300
630521414302104
72654226443440
oct462362662570
9127151366574
1041134286200
1116499261057
127b7b957934
133b57079127
141dc30b3120
15110b3919ba
hex993cb6578

41134286200 has 96 divisors (see below), whose sum is σ = 109378713600. Its totient is φ = 14092986240.

The previous prime is 41134286183. The next prime is 41134286209. The reversal of 41134286200 is 268243114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41134286209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2071921 + ... + 2091679.

It is an arithmetic number, because the mean of its divisors is an integer number (1139361600).

Almost surely, 241134286200 is an apocalyptic number.

41134286200 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 41134286200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54689356800).

41134286200 is an abundant number, since it is smaller than the sum of its proper divisors (68244427400).

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

41134286200 is a wasteful number, since it uses less digits than its factorization.

41134286200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21269 (or 21260 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 41134286200 in words is "forty-one billion, one hundred thirty-four million, two hundred eighty-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1487 2974 5948 7435 10409 11896 14870 19759 20818 29740 37175 39518 41636 52045 59480 74350 79036 83272 98795 104090 138313 148700 158072 197590 208180 260225 276626 297400 395180 416360 493975 520450 553252 691565 790360 987950 1040900 1106504 1383130 1975900 2081800 2766260 3457825 3951800 5532520 6915650 13831300 27662600 29381633 58763266 117526532 146908165 205671431 235053064 293816330 411342862 587632660 734540825 822685724 1028357155 1175265320 1469081650 1645371448 2056714310 2938163300 4113428620 5141785775 5876326600 8226857240 10283571550 20567143100 41134286200