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41354305000 = 235471116491
BaseRepresentation
bin100110100000111010…
…001001110111101000
310221202001102100200221
4212200322021313220
51134143200230000
630555314135424
72662540535611
oct464072116750
9127661370627
1041354305000
11165a1477478
128021581574
133b90822278
1420043c6c08
15112085261a
hex9a0e89de8

41354305000 has 80 divisors (see below), whose sum is σ = 98258672160. Its totient is φ = 16308600000.

The previous prime is 41354304991. The next prime is 41354305007. The reversal of 41354305000 is 50345314.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41354305007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 296755 + ... + 413245.

It is an arithmetic number, because the mean of its divisors is an integer number (1228233402).

Almost surely, 241354305000 is an apocalyptic number.

41354305000 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 41354305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49129336080).

41354305000 is an abundant number, since it is smaller than the sum of its proper divisors (56904367160).

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

41354305000 is a wasteful number, since it uses less digits than its factorization.

41354305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116588 (or 116569 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 41354305000 in words is "forty-one billion, three hundred fifty-four million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 625 710 1000 1250 1420 1775 2500 2840 3550 5000 7100 8875 14200 17750 35500 44375 71000 88750 116491 177500 232982 355000 465964 582455 931928 1164910 2329820 2912275 4659640 5824550 8270861 11649100 14561375 16541722 23298200 29122750 33083444 41354305 58245500 66166888 72806875 82708610 116491000 145613750 165417220 206771525 291227500 330834440 413543050 582455000 827086100 1033857625 1654172200 2067715250 4135430500 5169288125 8270861000 10338576250 20677152500 41354305000