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41211020513440 = 2557128789126011
BaseRepresentation
bin10010101111011001100000…
…01111010001000010100000
312101220201211212200012200101
421113230300033101002200
520400200132222412230
6223352025332432144
711452253335420411
oct1127546017210240
9171821755605611
1041211020513440
111214954a790008
124756b7b478654
1319cc24b10cb2b
14a268a44d3808
154b6ed7199aca
hex257b303d10a0

41211020513440 has 96 divisors (see below), whose sum is σ = 98736531223680. Its totient is φ = 16251539942400.

The previous prime is 41211020513419. The next prime is 41211020513441. The reversal of 41211020513440 is 4431502011214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41211020513399 and 41211020513408.

It is not an unprimeable number, because it can be changed into a prime (41211020513441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326980035 + ... + 327106045.

It is an arithmetic number, because the mean of its divisors is an integer number (1028505533580).

Almost surely, 241211020513440 is an apocalyptic number.

41211020513440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41211020513440 is an abundant number, since it is smaller than the sum of its proper divisors (57525510710240).

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

41211020513440 is a wasteful number, since it uses less digits than its factorization.

41211020513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154886 (or 154878 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 41211020513440 its reverse (4431502011214), we get a palindrome (45642522524654).

The spelling of 41211020513440 in words is "forty-one trillion, two hundred eleven billion, twenty million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 11360 28789 57578 115156 126011 143945 230312 252022 287890 460624 504044 575780 630055 921248 1008088 1151560 1260110 2016176 2044019 2303120 2520220 4032352 4088038 4606240 5040440 8176076 8946781 10080880 10220095 16352152 17893562 20161760 20440190 32704304 35787124 40880380 44733905 65408608 71574248 81760760 89467810 143148496 163521520 178935620 286296992 327043040 357871240 715742480 1431484960 3627730679 7255461358 14510922716 18138653395 29021845432 36277306790 58043690864 72554613580 116087381728 145109227160 257568878209 290218454320 515137756418 580436908640 1030275512836 1287844391045 2060551025672 2575688782090 4121102051344 5151377564180 8242204102688 10302755128360 20605510256720 41211020513440