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300026039040 = 28335713195021
BaseRepresentation
bin1000101110110101111…
…00100000101100000000
31001200102022220221121000
410113122330200230000
514403423131222130
6345455143132000
730450632153040
oct4273274405400
91050368827530
10300026039040
11106270971872
124a192144000
13223a5347a20
141074279d720
157c0eb04260
hex45daf20b00

300026039040 has 1152 divisors, whose sum is σ = 1379611699200. Its totient is φ = 59958558720.

The previous prime is 300026038999. The next prime is 300026039101. The reversal of 300026039040 is 40930620003.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 300026038995 and 300026039013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59751730 + ... + 59756750.

It is an arithmetic number, because the mean of its divisors is an integer number (1197579600).

Almost surely, 2300026039040 is an apocalyptic number.

300026039040 is a gapful number since it is divisible by the number (30) 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 300026039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689805849600).

300026039040 is an abundant number, since it is smaller than the sum of its proper divisors (1079585660160).

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

300026039040 is a wasteful number, since it uses less digits than its factorization.

300026039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 300026039040 its reverse (40930620003), we get a palindrome (340956659043).

The spelling of 300026039040 in words is "three hundred billion, twenty-six million, thirty-nine thousand, forty".