Search a number
-
+
41245734156 = 223112416531061
BaseRepresentation
bin100110011010011011…
…111111010100001100
310221110111010101111120
4212122123333110030
51133432401443111
630540435120540
72660051645544
oct463233772414
9127414111446
1041245734156
1116546161600
127bb1143150
133b7419a573
141dd3c04324
151116058406
hex99a6ff50c

41245734156 has 144 divisors (see below), whose sum is σ = 108632863584. Its totient is φ = 12163712000.

The previous prime is 41245734149. The next prime is 41245734209. The reversal of 41245734156 is 65143754214.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38873866 + ... + 38874926.

It is an arithmetic number, because the mean of its divisors is an integer number (754394886).

Almost surely, 241245734156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41245734156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54316431792).

41245734156 is an abundant number, since it is smaller than the sum of its proper divisors (67387129428).

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

41245734156 is a wasteful number, since it uses less digits than its factorization.

41245734156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1771 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The spelling of 41245734156 in words is "forty-one billion, two hundred forty-five million, seven hundred thirty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 121 123 132 164 242 246 363 451 484 492 653 726 902 1061 1306 1353 1452 1804 1959 2122 2612 2706 3183 3918 4244 4961 5412 6366 7183 7836 9922 11671 12732 14366 14883 19844 21549 23342 26773 28732 29766 35013 43098 43501 46684 53546 59532 70026 79013 80319 86196 87002 107092 128381 130503 140052 158026 160638 174004 237039 256762 261006 294503 316052 321276 385143 474078 478511 513524 522012 589006 692833 770286 883509 948156 957022 1178012 1385666 1435533 1540572 1767018 1914044 2078499 2771332 2871066 3239533 3534036 4156998 5263621 5742132 6479066 7621163 8313996 9718599 10527242 12958132 15242326 15790863 19437198 21054484 22863489 28406153 30484652 31581726 38874396 45726978 56812306 63163452 83832793 85218459 91453956 113624612 167665586 170436918 251498379 312467683 335331172 340873836 502996758 624935366 937403049 1005993516 1249870732 1874806098 3437144513 3749612196 6874289026 10311433539 13748578052 20622867078 41245734156