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41304012000 = 2535359227257
BaseRepresentation
bin100110011101111010…
…010011010011100000
310221121112210012200020
4212131322103103200
51134042311341000
630550320153440
72661360211026
oct463572232340
9127545705606
1041304012000
1116576046609
128008768880
133b832936b4
141ddb854716
15111b21aba0
hex99de934e0

41304012000 has 384 divisors, whose sum is σ = 138749345280. Its totient is φ = 10738073600.

The previous prime is 41304011999. The next prime is 41304012023. The reversal of 41304012000 is 21040314.

41304012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×413040120002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160715872 + ... + 160716128.

It is an arithmetic number, because the mean of its divisors is an integer number (361326420).

Almost surely, 241304012000 is an apocalyptic number.

41304012000 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 41304012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69374672640).

41304012000 is an abundant number, since it is smaller than the sum of its proper divisors (97445333280).

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

41304012000 is a wasteful number, since it uses less digits than its factorization.

41304012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 41304012000 its reverse (21040314), we get a palindrome (41325052314).

The spelling of 41304012000 in words is "forty-one billion, three hundred four million, twelve thousand".