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41143301040 = 243567238189
BaseRepresentation
bin100110010100010101…
…001111001110110000
310221012100101020200110
4212110111033032300
51133230141113130
630522335421320
72654366200662
oct462425171660
9127170336613
1041143301040
11164a3359036
127b82984840
133b58bb445a
141dc437c532
15110c072ab0
hex99454f3b0

41143301040 has 120 divisors (see below), whose sum is σ = 129479681520. Its totient is φ = 10807509504.

The previous prime is 41143301039. The next prime is 41143301063. The reversal of 41143301040 is 4010334114.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 41143300998 and 41143301016.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1058266 + ... + 1096454.

It is an arithmetic number, because the mean of its divisors is an integer number (1078997346).

Almost surely, 241143301040 is an apocalyptic number.

41143301040 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 41143301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64739840760).

41143301040 is an abundant number, since it is smaller than the sum of its proper divisors (88336380480).

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

41143301040 is a wasteful number, since it uses less digits than its factorization.

41143301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38339 (or 38266 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41143301040 its reverse (4010334114), we get a palindrome (45153635154).

The spelling of 41143301040 in words is "forty-one billion, one hundred forty-three million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 4489 5360 8040 8978 13467 16080 17956 22445 26934 35912 38189 44890 53868 67335 71824 76378 89780 107736 114567 134670 152756 179560 190945 215472 229134 269340 305512 359120 381890 458268 538680 572835 611024 763780 916536 1077360 1145670 1527560 1833072 2291340 2558663 3055120 4582680 5117326 7675989 9165360 10234652 12793315 15351978 20469304 25586630 30703956 38379945 40938608 51173260 61407912 76759890 102346520 122815824 153519780 171430421 204693040 307039560 342860842 514291263 614079120 685721684 857152105 1028582526 1371443368 1714304210 2057165052 2571456315 2742886736 3428608420 4114330104 5142912630 6857216840 8228660208 10285825260 13714433680 20571650520 41143301040