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41131223104 = 2617192386509
BaseRepresentation
bin100110010011100111…
…001010100001000000
310221011111122121212111
4212103213022201000
51133214043114404
630521224505104
72654161425226
oct462347124100
9127144577774
1041131223104
1116497559774
127b7a91b194
133b56545b4a
141dc2916b16
15110ae89104
hex9939ca840

41131223104 has 112 divisors (see below), whose sum is σ = 94925692800. Its totient is φ = 17539670016.

The previous prime is 41131223069. The next prime is 41131223117. The reversal of 41131223104 is 40132213114.

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, 432202 + ... + 518710.

Almost surely, 241131223104 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 41131223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47462846400).

41131223104 is an abundant number, since it is smaller than the sum of its proper divisors (53794469696).

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

41131223104 is a wasteful number, since it uses less digits than its factorization.

41131223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86580 (or 86570 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 41131223104 its reverse (40132213114), we get a palindrome (81263436218).

The spelling of 41131223104 in words is "forty-one billion, one hundred thirty-one million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 19 23 32 34 38 46 64 68 76 92 136 152 184 272 304 323 368 391 437 544 608 646 736 782 874 1088 1216 1292 1472 1564 1748 2584 3128 3496 5168 6256 6992 7429 10336 12512 13984 14858 20672 25024 27968 29716 59432 86509 118864 173018 237728 346036 475456 692072 1384144 1470653 1643671 1989707 2768288 2941306 3287342 3979414 5536576 5882612 6574684 7958828 11765224 13149368 15917656 23530448 26298736 27942407 31835312 33825019 37804433 47060896 52597472 55884814 63670624 67650038 75608866 94121792 105194944 111769628 127341248 135300076 151217732 223539256 270600152 302435464 447078512 541200304 604870928 642675361 894157024 1082400608 1209741856 1285350722 1788314048 2164801216 2419483712 2570701444 5141402888 10282805776 20565611552 41131223104