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41210342000 = 2453234332069
BaseRepresentation
bin100110011000010100…
…111110101001110000
310221101000112021120222
4212120110332221300
51133344321421000
630533132352212
72656142061452
oct463024765160
9127330467528
1041210342000
1116528188993
127ba1315668
133b69a58169
141dcd2302d2
151112db6a85
hex99853ea70

41210342000 has 160 divisors (see below), whose sum is σ = 104269576320. Its totient is φ = 15723417600.

The previous prime is 41210341979. The next prime is 41210342003. The reversal of 41210342000 is 24301214.

It is a self number, because there is not a number n which added to its sum of digits gives 41210342000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41210342003) 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 31 ways as a sum of consecutive naturals, for example, 19916966 + ... + 19919034.

It is an arithmetic number, because the mean of its divisors is an integer number (651684852).

Almost surely, 241210342000 is an apocalyptic number.

41210342000 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 41210342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52134788160).

41210342000 is an abundant number, since it is smaller than the sum of its proper divisors (63059234320).

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

41210342000 is a wasteful number, since it uses less digits than its factorization.

41210342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 41210342000 its reverse (24301214), we get a palindrome (41234643214).

The spelling of 41210342000 in words is "forty-one billion, two hundred ten million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 433 460 500 575 866 920 1000 1150 1732 1840 2000 2069 2165 2300 2875 3464 4138 4330 4600 5750 6928 8276 8660 9200 9959 10345 10825 11500 16552 17320 19918 20690 21650 23000 33104 34640 39836 41380 43300 46000 47587 49795 51725 54125 79672 82760 86600 95174 99590 103450 108250 159344 165520 173200 190348 199180 206900 216500 237935 248975 258625 380696 398360 413800 433000 475870 497950 517250 761392 796720 827600 866000 895877 951740 995900 1034500 1189675 1244875 1791754 1903480 1991800 2069000 2379350 2489750 3583508 3806960 3983600 4138000 4479385 4758700 4979500 5948375 7167016 8958770 9517400 9959000 11896750 14334032 17917540 19034800 19918000 20605171 22396925 23793500 35835080 41210342 44793850 47587000 71670160 82420684 89587700 95174000 103025855 111984625 164841368 179175400 206051710 223969250 329682736 358350800 412103420 447938500 515129275 824206840 895877000 1030258550 1648413680 1791754000 2060517100 2575646375 4121034200 5151292750 8242068400 10302585500 20605171000 41210342000