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41410313000 = 2353716336293
BaseRepresentation
bin100110100100001111…
…110011101100101000
310221212221210212020022
4212210033303230220
51134302020004000
631005034420012
72664120565340
oct464417635450
9127787725208
1041410313000
1116620051081
128038291608
133b9c3021b4
14200ba05d20
151125717585
hex9a43f3b28

41410313000 has 128 divisors (see below), whose sum is σ = 111425483520. Its totient is φ = 14110329600.

The previous prime is 41410312967. The next prime is 41410313003. The reversal of 41410313000 is 31301414.

41410313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41410313000.

It is not an unprimeable number, because it can be changed into a prime (41410313003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122854 + ... + 1159146.

It is an arithmetic number, because the mean of its divisors is an integer number (870511590).

Almost surely, 241410313000 is an apocalyptic number.

41410313000 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 41410313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55712741760).

41410313000 is an abundant number, since it is smaller than the sum of its proper divisors (70015170520).

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

41410313000 is a wasteful number, since it uses less digits than its factorization.

41410313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36484 (or 36470 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 41410313000 its reverse (31301414), we get a palindrome (41441614414).

The spelling of 41410313000 in words is "forty-one billion, four hundred ten million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 163 175 200 250 280 326 350 500 652 700 815 875 1000 1141 1304 1400 1630 1750 2282 3260 3500 4075 4564 5705 6520 7000 8150 9128 11410 16300 20375 22820 28525 32600 36293 40750 45640 57050 72586 81500 114100 142625 145172 163000 181465 228200 254051 285250 290344 362930 508102 570500 725860 907325 1016204 1141000 1270255 1451720 1814650 2032408 2540510 3629300 4536625 5081020 5915759 6351275 7258600 9073250 10162040 11831518 12702550 18146500 23663036 25405100 29578795 31756375 36293000 41410313 47326072 50810200 59157590 63512750 82820626 118315180 127025500 147893975 165641252 207051565 236630360 254051000 295787950 331282504 414103130 591575900 739469875 828206260 1035257825 1183151800 1478939750 1656412520 2070515650 2957879500 4141031300 5176289125 5915759000 8282062600 10352578250 20705156500 41410313000