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41314340034 = 233111932771301
BaseRepresentation
bin100110011110100001…
…101100110011000010
310221122021012221002000
4212132201230303002
51134102432340114
630551325404430
72661544044642
oct463641546302
9127567187060
1041314340034
1116580960180
128010109716
133b8546b666
141ddcd82522
15111c0aae09
hex99e86ccc2

41314340034 has 128 divisors (see below), whose sum is σ = 101116028160. Its totient is φ = 12400128000.

The previous prime is 41314340027. The next prime is 41314340113. The reversal of 41314340034 is 43004341314.

41314340034 is a `hidden beast` number, since 4 + 1 + 314 + 340 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 31755184 + ... + 31756484.

It is an arithmetic number, because the mean of its divisors is an integer number (789968970).

Almost surely, 241314340034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41314340034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50558014080).

41314340034 is an abundant number, since it is smaller than the sum of its proper divisors (59801688126).

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

41314340034 is a wasteful number, since it uses less digits than its factorization.

41314340034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41314340034 its reverse (43004341314), we get a palindrome (84318681348).

The spelling of 41314340034 in words is "forty-one billion, three hundred fourteen million, three hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 193 198 277 297 386 554 579 594 831 1158 1301 1662 1737 2123 2493 2602 3047 3474 3903 4246 4986 5211 6094 6369 7479 7806 9141 10422 11709 12738 14311 14958 18282 19107 23418 27423 28622 35127 38214 42933 53461 54846 57321 70254 82269 85866 106922 114642 128799 160383 164538 251093 257598 320766 360377 386397 481149 502186 588071 720754 753279 772794 962298 1081131 1176142 1443447 1506558 1764213 2162262 2259837 2762023 2886894 3243393 3528426 3964147 4519674 5292639 5524046 6486786 6779511 7928294 8286069 9730179 10585278 11892441 13559022 15877917 16572138 19460358 23784882 24858207 31755834 35677323 49716414 69552761 71354646 74574621 107031969 139105522 149149242 208658283 214063938 417316566 625974849 765080371 1251949698 1530160742 1877924547 2295241113 3755849094 4590482226 6885723339 13771446678 20657170017 41314340034