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41309015040 = 21034599607
BaseRepresentation
bin100110011110001101…
…011000110000000000
310221121220012101120000
4212132031120300000
51134100101440130
630551015320000
72661450556116
oct463615306000
9127556171500
1041309015040
1116578953457
12800a380000
133b84325987
141ddc397ab6
15111b8a8260
hex99e358c00

41309015040 has 220 divisors, whose sum is σ = 148029640176. Its totient is φ = 11015626752.

The previous prime is 41309015017. The next prime is 41309015047. The reversal of 41309015040 is 4051090314.

41309015040 is a `hidden beast` number, since 41 + 30 + 90 + 1 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41309014995 and 41309015013.

It is not an unprimeable number, because it can be changed into a prime (41309015047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 364917 + ... + 464523.

Almost surely, 241309015040 is an apocalyptic number.

41309015040 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 41309015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74014820088).

41309015040 is an abundant number, since it is smaller than the sum of its proper divisors (106720625136).

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

41309015040 is an equidigital number, since it uses as much as digits as its factorization.

41309015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99644 (or 99617 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 41309015040 in words is "forty-one billion, three hundred nine million, fifteen thousand, forty".