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41012133143072 = 2571333614190371
BaseRepresentation
bin10010101001100111000011…
…01000001010001000100000
312101012201111001222222002212
421110303201220022020200
520333420322041034242
6223120414110101252
711432012614600520
oct1124634150121040
9171181431888085
1041012133143072
1112082169a7aa33
1247245144aa828
1319b65734740b0
14a1add80bb680
154b1c46753782
hex254ce1a0a220

41012133143072 has 96 divisors (see below), whose sum is σ = 99405144365184. Its totient is φ = 16219748966400.

The previous prime is 41012133143071. The next prime is 41012133143197. The reversal of 41012133143072 is 27034133121014.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (41012133143071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7692047 + ... + 11882417.

It is an arithmetic number, because the mean of its divisors is an integer number (1035470253804).

Almost surely, 241012133143072 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 41012133143072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49702572182592).

41012133143072 is an abundant number, since it is smaller than the sum of its proper divisors (58393011222112).

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

41012133143072 is a wasteful number, since it uses less digits than its factorization.

41012133143072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193762 (or 4193754 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 41012133143072 its reverse (27034133121014), we get a palindrome (68046266264086).

The spelling of 41012133143072 in words is "forty-one trillion, twelve billion, one hundred thirty-three million, one hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3361 6722 13444 23527 26888 43693 47054 53776 87386 94108 107552 174772 188216 305851 349544 376432 611702 699088 752864 1223404 1398176 2446808 4190371 4893616 8380742 9787232 16761484 29332597 33522968 54474823 58665194 67045936 108949646 117330388 134091872 217899292 234660776 381323761 435798584 469321552 762647522 871597168 938643104 1525295044 1743194336 3050590088 6101180176 12202360352 14083836931 28167673862 56335347724 98586858517 112670695448 183089880103 197173717034 225341390896 366179760206 394347434068 450682781792 732359520412 788694868136 1281629160721 1464719040824 1577389736272 2563258321442 2929438081648 3154779472544 5126516642884 5858876163296 10253033285768 20506066571536 41012133143072