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41290106220 = 223251130767927
BaseRepresentation
bin100110011101000101…
…010000010101101100
310221120120121201112100
4212131011100111230
51134030231344340
630545102135100
72661131053266
oct463505202554
9127516551470
1041290106220
1116569208a30
128003b81490
133b8043511c
141dd9a74b36
151119dc0830
hex99d15056c

41290106220 has 144 divisors (see below), whose sum is σ = 137079790848. Its totient is φ = 9976970880.

The previous prime is 41290106213. The next prime is 41290106227. The reversal of 41290106220 is 2260109214.

41290106220 is a `hidden beast` number, since 4 + 1 + 29 + 0 + 10 + 622 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41290106213) and next prime (41290106227).

It is not an unprimeable number, because it can be changed into a prime (41290106227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573897 + ... + 641823.

It is an arithmetic number, because the mean of its divisors is an integer number (951942992).

Almost surely, 241290106220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41290106220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68539895424).

41290106220 is an abundant number, since it is smaller than the sum of its proper divisors (95789684628).

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

41290106220 is a wasteful number, since it uses less digits than its factorization.

41290106220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68260 (or 68255 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 41290106220 in words is "forty-one billion, two hundred ninety million, one hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 307 330 396 495 614 660 921 990 1228 1535 1842 1980 2763 3070 3377 3684 4605 5526 6140 6754 9210 10131 11052 13508 13815 16885 18420 20262 27630 30393 33770 40524 50655 55260 60786 67540 67927 101310 121572 135854 151965 202620 203781 271708 303930 339635 407562 607860 611343 679270 747197 815124 1018905 1222686 1358540 1494394 2037810 2241591 2445372 2988788 3056715 3735985 4075620 4483182 6113430 6724773 7471970 8966364 11207955 12226860 13449546 14943940 20853589 22415910 26899092 33623865 41707178 44831820 62560767 67247730 83414356 104267945 125121534 134495460 187682301 208535890 229389479 250243068 312803835 375364602 417071780 458778958 625607670 688168437 750729204 917557916 938411505 1146947395 1251215340 1376336874 1876823010 2064505311 2293894790 2752673748 3440842185 3753646020 4129010622 4587789580 6881684370 8258021244 10322526555 13763368740 20645053110 41290106220