Search a number
-
+
41410303120100 = 22521929839054797
BaseRepresentation
bin10010110101001100101100…
…11010000101001011100100
312102121210020020001112112002
421122212112122011023210
520411431300044320400
6224023344114344432
711502536625551555
oct1132462632051344
9172553206045462
1041410303120100
1112216013601a52
12478971688b118
131a14c8990cab5
14a323ab1d032c
154bc29c662ed5
hex25a9966852e4

41410303120100 has 144 divisors (see below), whose sum is σ = 99030514766400. Its totient is φ = 14968664363520.

The previous prime is 41410303120037. The next prime is 41410303120127. The reversal of 41410303120100 is 102130301414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45902 + ... + 9100698.

It is an arithmetic number, because the mean of its divisors is an integer number (687711908100).

Almost surely, 241410303120100 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 41410303120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49515257383200).

41410303120100 is an abundant number, since it is smaller than the sum of its proper divisors (57620211646300).

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

41410303120100 is a wasteful number, since it uses less digits than its factorization.

41410303120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054942 (or 9054935 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 41410303120100 its reverse (102130301414), we get a palindrome (41512433421514).

The spelling of 41410303120100 in words is "forty-one trillion, four hundred ten billion, three hundred three million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 83 95 100 116 145 166 190 290 332 380 415 475 551 580 725 830 950 1102 1450 1577 1660 1900 2075 2204 2407 2755 2900 3154 4150 4814 5510 6308 7885 8300 9628 11020 12035 13775 15770 24070 27550 31540 39425 45733 48140 55100 60175 78850 91466 120350 157700 182932 228665 240700 457330 914660 1143325 2286650 4573300 9054797 18109594 36219188 45273985 90547970 172041143 181095940 226369925 262589113 344082286 452739850 525178226 688164572 751548151 860205715 905479700 1050356452 1312945565 1503096302 1720411430 2625891130 3006192604 3440822860 3757740755 4301028575 4989193147 5251782260 6564727825 7515481510 8602057150 9978386294 13129455650 14279414869 15030963020 17204114300 18788703775 19956772588 21794896379 24945965735 26258911300 28558829738 37577407550 43589792758 49891931470 57117659476 71397074345 75154815100 87179585516 99783862940 108974481895 124729828675 142794148690 217948963790 249459657350 285588297380 356985371725 414103031201 435897927580 498919314700 544872409475 713970743450 828206062402 1089744818950 1427941486900 1656412124804 2070515156005 2179489637900 4141030312010 8282060624020 10352575780025 20705151560050 41410303120100