Search a number
-
+
41240210022120 = 23353112441452701
BaseRepresentation
bin10010110000001111111000…
…00100011001111011101000
312102000112012010212212222110
421120013330010121323220
520401134422231201440
6223413254013122320
711454335564225664
oct1130077404317350
9172015163785873
1041240210022120
111215a9694779aa
124760766a893a0
131a01c205ba965
14a280730418a4
154b7b44a78080
hex2581fc119ee8

41240210022120 has 128 divisors (see below), whose sum is σ = 124169567258880. Its totient is φ = 10957512960000.

The previous prime is 41240210022059. The next prime is 41240210022133. The reversal of 41240210022120 is 2122001204214.

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, 90871770 + ... + 91324470.

It is an arithmetic number, because the mean of its divisors is an integer number (970074744210).

Almost surely, 241240210022120 is an apocalyptic number.

41240210022120 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 41240210022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62084783629440).

41240210022120 is an abundant number, since it is smaller than the sum of its proper divisors (82929357236760).

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

41240210022120 is a wasteful number, since it uses less digits than its factorization.

41240210022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455467 (or 455463 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 41240210022120 its reverse (2122001204214), we get a palindrome (43362211226334).

The spelling of 41240210022120 in words is "forty-one trillion, two hundred forty billion, two hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2441 2488 3110 3732 4665 4882 6220 7323 7464 9330 9764 12205 12440 14646 18660 19528 24410 29292 36615 37320 48820 58584 73230 97640 146460 292920 452701 759151 905402 1358103 1518302 1810804 2263505 2277453 2716206 3036604 3621608 3795755 4527010 4554906 5432412 6073208 6790515 7591510 9054020 9109812 10864824 11387265 13581030 15183020 18108040 18219624 22774530 27162060 30366040 45549060 54324120 91098120 140790011 281580022 422370033 563160044 703950055 844740066 1105043141 1126320088 1407900110 1689480132 2111850165 2210086282 2815800220 3315129423 3378960264 4223700330 4420172564 5525215705 5631600440 6630258846 8447400660 8840345128 11050431410 13260517692 16575647115 16894801320 22100862820 26521035384 33151294230 44201725640 66302588460 132605176920 343668416851 687336833702 1031005250553 1374673667404 1718342084255 2062010501106 2749347334808 3436684168510 4124021002212 5155026252765 6873368337020 8248042004424 10310052505530 13746736674040 20620105011060 41240210022120