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41302244310444 = 2232132314472651743
BaseRepresentation
bin10010110010000011011011…
…00110011011110110101100
312102020110022102100020200200
421121001231212123312230
520403143444020413234
6223501553351153500
711461663055044305
oct1131015546336654
9172213272306620
1041302244310444
1112184202190987
12477079a075890
131a07a28639040
14a2b079b577ac
154b9575bb2d99
hex25906d99bdac

41302244310444 has 144 divisors (see below), whose sum is σ = 117403441139712. Its totient is φ = 12147439176576.

The previous prime is 41302244310419. The next prime is 41302244310461. The reversal of 41302244310444 is 44401344220314.

41302244310444 is a `hidden beast` number, since 4 + 1 + 302 + 244 + 3 + 104 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41302244310399 and 41302244310408.

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, 14249637 + ... + 16901379.

Almost surely, 241302244310444 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 41302244310444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58701720569856).

41302244310444 is an abundant number, since it is smaller than the sum of its proper divisors (76101196829268).

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

41302244310444 is a wasteful number, since it uses less digits than its factorization.

41302244310444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653236 (or 2653231 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 41302244310444 its reverse (44401344220314), we get a palindrome (85703588530758).

The spelling of 41302244310444 in words is "forty-one trillion, three hundred two billion, two hundred forty-four million, three hundred ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1447 1794 2691 2894 3588 4341 5382 5788 8682 10764 13023 17364 18811 26046 33281 37622 52092 56433 66562 75244 99843 112866 133124 169299 199686 225732 299529 338598 399372 432653 599058 677196 865306 1198116 1297959 1730612 2595918 2651743 3893877 5191836 5303486 7787754 7955229 10606972 15575508 15910458 23865687 31820916 34472659 47731374 60990089 68945318 95462748 103417977 121980178 137890636 182970267 206835954 243960356 310253931 365940534 413671908 548910801 620507862 731881068 792871157 1097821602 1241015724 1585742314 2195643204 2378613471 3171484628 3837072121 4757226942 7135840413 7674144242 9514453884 11511216363 14271680826 15348288484 23022432726 28543361652 34533649089 46044865452 49881937573 69067298178 88252658783 99763875146 138134596356 149645812719 176505317566 199527750292 264757976349 299291625438 353010635132 448937438157 529515952698 598583250876 794273929047 897874876314 1059031905396 1147284564179 1588547858094 1795749752628 2294569128358 3177095716188 3441853692537 4589138256716 6883707385074 10325561077611 13767414770148 20651122155222 41302244310444