Search a number
-
+
41324123000 = 2353238321647
BaseRepresentation
bin100110011111000111…
…000001001101111000
310221122221121221210002
4212133013001031320
51134112433414000
630552315212132
72662023151466
oct463707011570
9127587557702
1041324123000
1116586432276
128013447048
133b874b54b4
1420003ab836
15111cd8e8d5
hex99f1c1378

41324123000 has 128 divisors (see below), whose sum is σ = 102123141120. Its totient is φ = 15619753600.

The previous prime is 41324122991. The next prime is 41324123041. The reversal of 41324123000 is 32142314.

41324123000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 1898177 + ... + 1919823.

It is an arithmetic number, because the mean of its divisors is an integer number (797837040).

Almost surely, 241324123000 is an apocalyptic number.

41324123000 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 41324123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51061570560).

41324123000 is an abundant number, since it is smaller than the sum of its proper divisors (60799018120).

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

41324123000 is a wasteful number, since it uses less digits than its factorization.

41324123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21774 (or 21760 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 41324123000 its reverse (32142314), we get a palindrome (41356265314).

The spelling of 41324123000 in words is "forty-one billion, three hundred twenty-four million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 83 92 100 115 125 166 184 200 230 250 332 415 460 500 575 664 830 920 1000 1150 1660 1909 2075 2300 2875 3320 3818 4150 4600 5750 7636 8300 9545 10375 11500 15272 16600 19090 20750 21647 23000 38180 41500 43294 47725 76360 83000 86588 95450 108235 173176 190900 216470 238625 381800 432940 477250 497881 541175 865880 954500 995762 1082350 1796701 1909000 1991524 2164700 2489405 2705875 3593402 3983048 4329400 4978810 5411750 7186804 8983505 9957620 10823500 12447025 14373608 17967010 19915240 21647000 24894050 35934020 41324123 44917525 49788100 62235125 71868040 82648246 89835050 99576200 124470250 165296492 179670100 206620615 224587625 248940500 330592984 359340200 413241230 449175250 497881000 826482460 898350500 1033103075 1652964920 1796701000 2066206150 4132412300 5165515375 8264824600 10331030750 20662061500 41324123000