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41123030141000 = 2353175934079261
BaseRepresentation
bin10010101100110101100111…
…00110101000100001001000
312101121022201200021011022102
421112122303212220201020
520342224431204003000
6223243354221412532
711443020010534343
oct1126326346504110
9171538650234272
1041123030141000
11121151a7491945
124741b0370a148
1319c3b677560b2
14a2251847945a
154b4a874833d5
hex2566b39a8848

41123030141000 has 128 divisors (see below), whose sum is σ = 102060198171360. Its totient is φ = 15455500288000.

The previous prime is 41123030140963. The next prime is 41123030141057. The reversal of 41123030141000 is 14103032114.

It can be written as a sum of positive squares in 16 ways, for example, as 2902913994436 + 38220116146564 = 1703794^2 + 6182242^2 .

It is a super-2 number, since 2×411230301410002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8041370 + ... + 12120630.

Almost surely, 241123030141000 is an apocalyptic number.

41123030141000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41123030141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51030099085680).

41123030141000 is an abundant number, since it is smaller than the sum of its proper divisors (60937168030360).

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

41123030141000 is a wasteful number, since it uses less digits than its factorization.

41123030141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079892 (or 4079878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 41123030141000 its reverse (14103032114), we get a palindrome (41137133173114).

The spelling of 41123030141000 in words is "forty-one trillion, one hundred twenty-three billion, thirty million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 593 680 850 1000 1186 1700 2125 2372 2965 3400 4250 4744 5930 8500 10081 11860 14825 17000 20162 23720 29650 40324 50405 59300 74125 80648 100810 118600 148250 201620 252025 296500 403240 504050 593000 1008100 1260125 2016200 2520250 4079261 5040500 8158522 10081000 16317044 20396305 32634088 40792610 69347437 81585220 101981525 138694874 163170440 203963050 277389748 346737185 407926100 509907625 554779496 693474370 815852200 1019815250 1386948740 1733685925 2039630500 2419001773 2773897480 3467371850 4079261000 4838003546 6934743700 8668429625 9676007092 12095008865 13869487400 17336859250 19352014184 24190017730 34673718500 41123030141 48380035460 60475044325 69347437000 82246060282 96760070920 120950088650 164492120564 205615150705 241900177300 302375221625 328984241128 411230301410 483800354600 604750443250 822460602820 1028075753525 1209500886500 1644921205640 2056151507050 2419001773000 4112303014100 5140378767625 8224606028200 10280757535250 20561515070500 41123030141000