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41115300496 = 24171931271947
BaseRepresentation
bin100110010010101010…
…011011001010010000
310221010101200200011021
4212102222123022100
51133201004103441
630515455325224
72653606200514
oct462252331220
9127111620137
1041115300496
1116489573896
127b75520814
133b5315c59a
141dc0770144
1511098913d1
hex992a9b290

41115300496 has 160 divisors (see below), whose sum is σ = 92085534720. Its totient is φ = 17654630400.

The previous prime is 41115300493. The next prime is 41115300509. The reversal of 41115300496 is 69400351114.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (41115300493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43415895 + ... + 43416841.

It is an arithmetic number, because the mean of its divisors is an integer number (575534592).

Almost surely, 241115300496 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 41115300496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46042767360).

41115300496 is an abundant number, since it is smaller than the sum of its proper divisors (50970234224).

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

41115300496 is a wasteful number, since it uses less digits than its factorization.

41115300496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 41115300496 in words is "forty-one billion, one hundred fifteen million, three hundred thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 19 31 34 38 62 68 76 124 136 152 248 271 272 304 323 496 527 542 589 646 947 1054 1084 1178 1292 1894 2108 2168 2356 2584 3788 4216 4336 4607 4712 5149 5168 7576 8401 8432 9214 9424 10013 10298 15152 16099 16802 17993 18428 20026 20596 29357 32198 33604 35986 36856 40052 41192 58714 64396 67208 71972 73712 80104 82384 87533 117428 128792 134416 142817 143944 159619 160208 175066 234856 256637 257584 285634 287888 305881 319238 350132 469712 499069 513274 557783 571268 611762 638476 700264 998138 1026548 1115566 1142536 1223524 1276952 1400528 1996276 2053096 2231132 2285072 2447048 2553904 2713523 3992552 4106192 4362829 4462264 4876103 4894096 5427046 7955747 7985104 8725658 8924528 9482311 9752206 10854092 15911494 17451316 18964622 19504412 21708184 31822988 34902632 37929244 39008824 43416368 63645976 69805264 75858488 78017648 82893751 127291952 135247699 151159193 151716976 165787502 270495398 302318386 331575004 540990796 604636772 663150008 1081981592 1209273544 1326300016 2163963184 2418547088 2569706281 5139412562 10278825124 20557650248 41115300496