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41012143240032 = 2532436749428419
BaseRepresentation
bin10010101001100111000100…
…01110101011001101100000
312101012201111202222221112100
421110303202032223031200
520333420332132140112
6223120415110330400
711432013066452646
oct1124634216531540
9171181452887470
1041012143240032
1112082174746a28
124724517959a00
1319b657559ab23
14a1add9589196
154b1c4759a2dc
hex254ce23ab360

41012143240032 has 144 divisors (see below), whose sum is σ = 121121772932160. Its totient is φ = 13153495170816.

The previous prime is 41012143239973. The next prime is 41012143240043. The reversal of 41012143240032 is 23004234121014.

41012143240032 is a `hidden beast` number, since 4 + 10 + 1 + 214 + 3 + 2 + 400 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×410121432400322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41012143239978 and 41012143240005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23884482 + ... + 25543937.

It is an arithmetic number, because the mean of its divisors is an integer number (841123423140).

Almost surely, 241012143240032 is an apocalyptic number.

It is an amenable number.

41012143240032 is an abundant number, since it is smaller than the sum of its proper divisors (80109629692128).

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

41012143240032 is a wasteful number, since it uses less digits than its factorization.

41012143240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49428545 (or 49428534 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41012143240032 its reverse (23004234121014), we get a palindrome (64016377361046).

The spelling of 41012143240032 in words is "forty-one trillion, twelve billion, one hundred forty-three million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 67 72 86 96 129 134 144 172 201 258 268 288 344 387 402 516 536 603 688 774 804 1032 1072 1206 1376 1548 1608 2064 2144 2412 2881 3096 3216 4128 4824 5762 6192 6432 8643 9648 11524 12384 17286 19296 23048 25929 34572 46096 51858 69144 92192 103716 138288 207432 276576 414864 829728 49428419 98856838 148285257 197713676 296570514 395427352 444855771 593141028 790854704 889711542 1186282056 1581709408 1779423084 2125422017 2372564112 3311704073 3558846168 4250844034 4745128224 6376266051 6623408146 7117692336 8501688068 9935112219 12752532102 13246816292 14235384672 17003376136 19128798153 19870224438 25505064204 26493632584 29805336657 34006752272 38257596306 39740448876 51010128408 52987265168 59610673314 68013504544 76515192612 79480897752 102020256816 105974530336 119221346628 142403275139 153030385224 158961795504 204040513632 238442693256 284806550278 306060770448 317923591008 427209825417 476885386512 569613100556 612121540896 854419650834 953770773024 1139226201112 1281629476251 1708839301668 2278452402224 2563258952502 3417678603336 4556904804448 5126517905004 6835357206672 10253035810008 13670714413344 20506071620016 41012143240032