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41023341886068 = 223217313202967511
BaseRepresentation
bin10010101001111011111011…
…01110000111101001110100
312101020210102020020002220100
421110331331232013221310
520334111301010323233
6223125510232234100
711432560440413523
oct1124757556075164
9171223366202810
1041023341886068
11120869a10224a3
12472672223b930
1319b763b6c73b9
14a1b77c9a84ba
154b21a07c7813
hex254f7db87a74

41023341886068 has 144 divisors (see below), whose sum is σ = 113344849013760. Its totient is φ = 12454331212800.

The previous prime is 41023341886067. The next prime is 41023341886073. The reversal of 41023341886068 is 86068814332014.

It is a happy number.

41023341886068 is a `hidden beast` number, since 4 + 1 + 0 + 23 + 3 + 4 + 1 + 8 + 8 + 606 + 8 = 666.

It is a super-2 number, since 2×410233418860682 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41023341886067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607620433 + ... + 607687943.

It is an arithmetic number, because the mean of its divisors is an integer number (787117007040).

Almost surely, 241023341886068 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 41023341886068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56672424506880).

41023341886068 is an abundant number, since it is smaller than the sum of its proper divisors (72321507127692).

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

41023341886068 is a wasteful number, since it uses less digits than its factorization.

41023341886068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99598 (or 99593 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 41023341886068 in words is "forty-one trillion, twenty-three billion, three hundred forty-one million, eight hundred eighty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 9486 18972 32029 64058 67511 96087 128116 135022 192174 202533 270044 288261 384348 405066 544493 576522 607599 810132 992899 1088986 1147687 1153044 1215198 1633479 1985798 2092841 2177972 2295374 2430396 2978697 3266958 3443061 3971596 4185682 4590748 4900437 5957394 6278523 6533916 6886122 8371364 8936091 9800874 10329183 11914788 12557046 13772244 16879283 17872182 18835569 19601748 20658366 25114092 33758566 35578297 35744364 37671138 41316732 50637849 67517132 71156594 75342276 101275698 106734891 142313188 151913547 202551396 213469782 303827094 320204673 426939564 607654188 640409346 1280818692 2162309819 4324619638 6486929457 8649239276 12973858914 19460788371 25947717828 36759266923 38921576742 67031604389 73518533846 77843153484 110277800769 134063208778 147037067692 201094813167 220555601538 268126417556 330833402307 402189626334 441111203076 603284439501 661666804614 804379252668 1139537274613 1206568879002 1323333609228 2279074549226 2413137758004 3418611823839 4558149098452 6837223647678 10255835471517 13674447295356 20511670943034 41023341886068