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41310707411072 = 2711171998672773
BaseRepresentation
bin10010110010010011001100…
…00010100110100010000000
312102021021011020011022020002
421121021212002212202000
520403313312044123242
6223505513232535132
711462412561156131
oct1131114602464200
9172237136138202
1041310707411072
1112187855402720
1247723603b14a8
131a08776ab4aa8
14a2b63db2dc88
154b98bdb88432
hex2592660a6880

41310707411072 has 128 divisors (see below), whose sum is σ = 95539278384000. Its totient is φ = 17584218685440.

The previous prime is 41310707411069. The next prime is 41310707411093. The reversal of 41310707411072 is 27011470701314.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426878 + ... + 9099650.

It is an arithmetic number, because the mean of its divisors is an integer number (746400612375).

Almost surely, 241310707411072 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 41310707411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47769639192000).

41310707411072 is an abundant number, since it is smaller than the sum of its proper divisors (54228570972928).

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

41310707411072 is a wasteful number, since it uses less digits than its factorization.

41310707411072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8673014 (or 8673002 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The spelling of 41310707411072 in words is "forty-one trillion, three hundred ten billion, seven hundred seven million, four hundred eleven thousand, seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 199 272 352 374 398 544 704 748 796 1088 1408 1496 1592 2176 2189 2992 3184 3383 4378 5984 6368 6766 8756 11968 12736 13532 17512 23936 25472 27064 35024 37213 54128 70048 74426 108256 140096 148852 216512 280192 297704 433024 595408 1190816 2381632 4763264 8672773 17345546 34691092 69382184 95400503 138764368 147437141 190801006 277528736 294874282 381602012 555057472 589748564 763204024 1110114944 1179497128 1526408048 1621808551 1725881827 2358994256 3052816096 3243617102 3451763654 4717988512 6105632192 6487234204 6903527308 9435977024 12211264384 12974468408 13807054616 18871954048 18984700097 25948936816 27614109232 29339991059 37969400194 51897873632 55228218464 58679982118 75938800388 103795747264 110456436928 117359964236 151877600776 207591494528 220912873856 234719928472 303755201552 322739901649 469439856944 607510403104 645479803298 938879713888 1215020806208 1290959606596 1877759427776 2430041612416 2581919213192 3755518855552 5163838426384 10327676852768 20655353705536 41310707411072