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41304031400 = 23524127118587
BaseRepresentation
bin100110011101111010…
…011000000010101000
310221121112211012021202
4212131322120002220
51134042313001100
630550320423332
72661360321422
oct463572300250
9127545735252
1041304031400
111657605a145
128008777b48
133b8329c488
141ddb85b812
15111b2217d5
hex99de980a8

41304031400 has 96 divisors (see below), whose sum is σ = 98742430080. Its totient is φ = 16058304000.

The previous prime is 41304031399. The next prime is 41304031481. The reversal of 41304031400 is 413040314.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 2212907 + ... + 2231493.

It is an arithmetic number, because the mean of its divisors is an integer number (1028566980).

Almost surely, 241304031400 is an apocalyptic number.

41304031400 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 41304031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49371215040).

41304031400 is an abundant number, since it is smaller than the sum of its proper divisors (57438398680).

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

41304031400 is a wasteful number, since it uses less digits than its factorization.

41304031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18915 (or 18906 counting only the distinct ones).

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

Adding to 41304031400 its reverse (413040314), we get a palindrome (41717071714).

41304031400 divided by its reverse (413040314) gives a square (100 = 102).

The spelling of 41304031400 in words is "forty-one billion, three hundred four million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 271 328 410 542 820 1025 1084 1355 1640 2050 2168 2710 4100 5420 6775 8200 10840 11111 13550 18587 22222 27100 37174 44444 54200 55555 74348 88888 92935 111110 148696 185870 222220 277775 371740 444440 464675 555550 743480 762067 929350 1111100 1524134 1858700 2222200 3048268 3717400 3810335 5037077 6096536 7620670 10074154 15241340 19051675 20148308 25185385 30482680 38103350 40296616 50370770 76206700 100741540 125926925 152413400 201483080 206520157 251853850 413040314 503707700 826080628 1007415400 1032600785 1652161256 2065201570 4130403140 5163003925 8260806280 10326007850 20652015700 41304031400