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41006056140 = 22335710848163
BaseRepresentation
bin100110001100001001…
…101100001011001100
310220211210010111002000
4212030021230023030
51132440022244030
630500554032300
72651111504040
oct461411541314
9126753114060
1041006056140
11164329389a5
127b44a18690
133b3663015a
141db0054020
1510eeeb2860
hex98c26c2cc

41006056140 has 96 divisors (see below), whose sum is σ = 145799324160. Its totient is φ = 9372811968.

The previous prime is 41006056129. The next prime is 41006056153. The reversal of 41006056140 is 4165060014.

41006056140 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 60 + 561 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5420302 + ... + 5427861.

It is an arithmetic number, because the mean of its divisors is an integer number (1518742960).

Almost surely, 241006056140 is an apocalyptic number.

It is an amenable number.

41006056140 is an abundant number, since it is smaller than the sum of its proper divisors (104793268020).

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

41006056140 is a wasteful number, since it uses less digits than its factorization.

41006056140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10848188 (or 10848180 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 41006056140 in words is "forty-one billion, six million, fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 10848163 21696326 32544489 43392652 54240815 65088978 75937141 97633467 108481630 130177956 151874282 162722445 195266934 216963260 227811423 292900401 303748564 325444890 379685705 390533868 455622846 488167335 585800802 650889780 683434269 759371410 911245692 976334670 1139057115 1171601604 1366868538 1464502005 1518742820 1952669340 2050302807 2278114230 2733737076 2929004010 3417171345 4100605614 4556228460 5858008020 6834342690 8201211228 10251514035 13668685380 20503028070 41006056140