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41365456314 = 2373131546141
BaseRepresentation
bin100110100001100100…
…101100010110111010
310221202211101220102120
4212201210230112322
51134204024100224
631000353142110
72663034402000
oct464144542672
9127684356376
1041365456314
11165a77a3636
12802525a936
133b92c27b90
142005a8aa70
151121806779
hex9a192c5ba

41365456314 has 64 divisors (see below), whose sum is σ = 103900742400. Its totient is φ = 10909563840.

The previous prime is 41365456303. The next prime is 41365456333.

It is a happy number.

41365456314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413654563142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 746317 + ... + 799824.

It is an arithmetic number, because the mean of its divisors is an integer number (1623449100).

Almost surely, 241365456314 is an apocalyptic number.

41365456314 is an abundant number, since it is smaller than the sum of its proper divisors (62535286086).

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

41365456314 is a wasteful number, since it uses less digits than its factorization.

41365456314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546180 (or 1546166 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 41365456314 in words is "forty-one billion, three hundred sixty-five million, four hundred fifty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 1029 1274 1911 2058 3822 4459 8918 13377 26754 1546141 3092282 4638423 9276846 10822987 20099833 21645974 32468961 40199666 60299499 64937922 75760909 120598998 140698831 151521818 227282727 281397662 422096493 454565454 530326363 844192986 984891817 1060652726 1590979089 1969783634 2954675451 3181958178 5909350902 6894242719 13788485438 20682728157 41365456314