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41303241400 = 23521515032719
BaseRepresentation
bin100110011101110111…
…010111001010111000
310221121111100001121111
4212131313113022320
51134042112211100
630550251450104
72661350521261
oct463567271270
9127544301544
1041303241400
111657566a653
128008456934
133b83083a15
141ddb6d3968
15111b1176ba
hex99ddd72b8

41303241400 has 96 divisors (see below), whose sum is σ = 96893798400. Its totient is φ = 16373232000.

The previous prime is 41303241383. The next prime is 41303241407. The reversal of 41303241400 is 414230314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41303241407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15189241 + ... + 15191959.

It is an arithmetic number, because the mean of its divisors is an integer number (1009310400).

Almost surely, 241303241400 is an apocalyptic number.

41303241400 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 41303241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48446899200).

41303241400 is an abundant number, since it is smaller than the sum of its proper divisors (55590557000).

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

41303241400 is a wasteful number, since it uses less digits than its factorization.

41303241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 41303241400 its reverse (414230314), we get a palindrome (41717471714).

The spelling of 41303241400 in words is "forty-one billion, three hundred three million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 503 604 755 1006 1208 1510 2012 2515 2719 3020 3775 4024 5030 5438 6040 7550 10060 10876 12575 13595 15100 20120 21752 25150 27190 30200 50300 54380 67975 75953 100600 108760 135950 151906 271900 303812 379765 410569 543800 607624 759530 821138 1367657 1519060 1642276 1898825 2052845 2735314 3038120 3284552 3797650 4105690 5470628 6838285 7595300 8211380 10264225 10941256 13676570 15190600 16422760 20528450 27353140 34191425 41056900 54706280 68382850 82113800 136765700 206516207 273531400 413032414 826064828 1032581035 1652129656 2065162070 4130324140 5162905175 8260648280 10325810350 20651620700 41303241400