Search a number
-
+
41310211400 = 23523711874703
BaseRepresentation
bin100110011110010001…
…111100110101001000
310221121222110011122122
4212132101330311020
51134100403231100
630551101110412
72661464001053
oct463621746510
9127558404578
1041310211400
11165795a0287
12800a858408
133b84654393
141ddc5c9a9a
15111ba42985
hex99e47cd48

41310211400 has 96 divisors (see below), whose sum is σ = 98746179840. Its totient is φ = 16060527360.

The previous prime is 41310211399. The next prime is 41310211417. The reversal of 41310211400 is 411201314.

It is a happy number.

41310211400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8781449 + ... + 8786151.

It is an arithmetic number, because the mean of its divisors is an integer number (1028606040).

Almost surely, 241310211400 is an apocalyptic number.

41310211400 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 41310211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49373089920).

41310211400 is an abundant number, since it is smaller than the sum of its proper divisors (57435968440).

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

41310211400 is a wasteful number, since it uses less digits than its factorization.

41310211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 41310211400 its reverse (411201314), we get a palindrome (41721412714).

The spelling of 41310211400 in words is "forty-one billion, three hundred ten million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1187 1480 1850 2374 3700 4703 4748 5935 7400 9406 9496 11870 18812 23515 23740 29675 37624 43919 47030 47480 59350 87838 94060 117575 118700 174011 175676 188120 219595 235150 237400 348022 351352 439190 470300 696044 870055 878380 940600 1097975 1392088 1740110 1756760 2195950 3480220 4350275 4391900 5582461 6960440 8700550 8783800 11164922 17401100 22329844 27912305 34802200 44659688 55824610 111649220 139561525 206551057 223298440 279123050 413102114 558246100 826204228 1032755285 1116492200 1652408456 2065510570 4131021140 5163776425 8262042280 10327552850 20655105700 41310211400