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41019314076 = 223213177370627
BaseRepresentation
bin100110001100111100…
…010000111110011100
310220212201002001112200
4212030330100332130
51133001421022301
630502150131500
72651332262646
oct461474207634
9126781061480
1041019314076
111643a373874
127b49350b90
133b392c28a0
141db1b05896
151101230c86
hex98cf10f9c

41019314076 has 144 divisors (see below), whose sum is σ = 119853455904. Its totient is φ = 11716005888.

The previous prime is 41019314069. The next prime is 41019314099. The reversal of 41019314076 is 67041391014.

41019314076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41019314076.

It is a congruent number.

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, 545475 + ... + 616101.

It is an arithmetic number, because the mean of its divisors is an integer number (832315666).

Almost surely, 241019314076 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 41019314076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59926727952).

41019314076 is an abundant number, since it is smaller than the sum of its proper divisors (78834141828).

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

41019314076 is a wasteful number, since it uses less digits than its factorization.

41019314076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70740 (or 70735 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 41019314076 in words is "forty-one billion, nineteen million, three hundred fourteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 73 78 102 117 146 153 156 204 219 221 234 292 306 438 442 468 612 657 663 876 884 949 1241 1314 1326 1898 1989 2482 2628 2652 2847 3723 3796 3978 4964 5694 7446 7956 8541 11169 11388 14892 16133 17082 22338 32266 34164 44676 48399 64532 70627 96798 141254 145197 193596 211881 282508 290394 423762 580788 635643 847524 918151 1200659 1271286 1836302 2401318 2542572 2754453 3601977 3672604 4802636 5155771 5508906 7203954 8263359 10311542 10805931 11017812 14407908 15467313 15608567 16526718 20623084 21611862 30934626 31217134 33053436 43223724 46401939 46825701 61869252 62434268 67025023 87648107 92803878 93651402 134050046 140477103 175296214 185607756 187302804 201075069 262944321 268100092 280954206 350592428 402150138 525888642 561908412 603225207 788832963 804300276 1051777284 1139425391 1206450414 1577665926 2278850782 2412900828 3155331852 3418276173 4557701564 6836552346 10254828519 13673104692 20509657038 41019314076