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41134302320 = 24519101267941
BaseRepresentation
bin100110010011110010…
…111010010001110000
310221011201110001202112
4212103302322101300
51133220340133240
630521414504452
72654226541436
oct462362722160
9127151401675
1041134302320
1116499272181
127b7b965128
133b57083577
141dc30b8d56
15110b396665
hex993cba470

41134302320 has 80 divisors (see below), whose sum is σ = 101667912480. Its totient is φ = 15433344000.

The previous prime is 41134302299. The next prime is 41134302343. The reversal of 41134302320 is 2320343114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19550 + ... + 287490.

It is an arithmetic number, because the mean of its divisors is an integer number (1270848906).

Almost surely, 241134302320 is an apocalyptic number.

41134302320 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 41134302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50833956240).

41134302320 is an abundant number, since it is smaller than the sum of its proper divisors (60533610160).

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

41134302320 is a wasteful number, since it uses less digits than its factorization.

41134302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268074 (or 268068 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 41134302320 its reverse (2320343114), we get a palindrome (43454645434).

The spelling of 41134302320 in words is "forty-one billion, one hundred thirty-four million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 101 152 190 202 304 380 404 505 760 808 1010 1520 1616 1919 2020 3838 4040 7676 8080 9595 15352 19190 30704 38380 76760 153520 267941 535882 1071764 1339705 2143528 2679410 4287056 5090879 5358820 10181758 10717640 20363516 21435280 25454395 27062041 40727032 50908790 54124082 81454064 101817580 108248164 135310205 203635160 216496328 270620410 407270320 432992656 514178779 541240820 1028357558 1082481640 2056715116 2164963280 2570893895 4113430232 5141787790 8226860464 10283575580 20567151160 41134302320