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41420103322240 = 275241318184421
BaseRepresentation
bin10010110101011110111101…
…00010111000101010000000
312102122201112012212101111201
421122233132202320222000
520412111332422302430
6224032044402550544
711503334526110506
oct1132573642705200
9172581465771451
1041420103322240
111221a192561965
12478b5b0968454
131a15b8c0b3c86
14a32a5a9c4676
154bc672c068ca
hex25abde8b8a80

41420103322240 has 128 divisors (see below), whose sum is σ = 99463241489040. Its totient is φ = 16493912064000.

The previous prime is 41420103322229. The next prime is 41420103322253. The reversal of 41420103322240 is 4222330102414.

It can be written as a sum of positive squares in 8 ways, for example, as 24664572726336 + 16755530595904 = 4966344^2 + 4093352^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 41420103322199 and 41420103322208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490595230 + ... + 490679650.

Almost surely, 241420103322240 is an apocalyptic number.

41420103322240 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 41420103322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49731620744520).

41420103322240 is an abundant number, since it is smaller than the sum of its proper divisors (58043138166800).

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

41420103322240 is a wasteful number, since it uses less digits than its factorization.

41420103322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87862 (or 87850 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 41420103322240 its reverse (4222330102414), we get a palindrome (45642433424654).

The spelling of 41420103322240 in words is "forty-one trillion, four hundred twenty billion, one hundred three million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 241 320 482 640 964 1205 1928 2410 3181 3856 4820 6362 7712 9640 12724 15424 15905 19280 25448 30848 31810 38560 50896 63620 77120 84421 101792 127240 154240 168842 203584 254480 337684 407168 422105 508960 675368 766621 844210 1017920 1350736 1533242 1688420 2035840 2701472 3066484 3376840 3833105 5402944 6132968 6753680 7666210 10805888 12265936 13507360 15332420 20345461 24531872 27014720 30664840 40690922 49063744 54029440 61329680 81381844 98127488 101727305 122659360 162763688 203454610 245318720 268543201 325527376 406909220 490637440 537086402 651054752 813818440 1074172804 1302109504 1342716005 1627636880 2148345608 2604219008 2685432010 3255273760 4296691216 5370864020 6510547520 8593382432 10741728040 13021095040 17186764864 21483456080 34373529728 42966912160 64718911441 85933824320 129437822882 171867648640 258875645764 323594557205 517751291528 647189114410 1035502583056 1294378228820 2071005166112 2588756457640 4142010332224 5177512915280 8284020664448 10355025830560 20710051661120 41420103322240