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1500140410020 = 22325725129316189
BaseRepresentation
bin10101110101000111010…
…101100001010010100100
312022102010100211201001200
4111311013111201102210
5144034241421110040
63105053251122500
7213244610044140
oct25650725412244
95272110751050
101500140410020
1152922a17552a
122028a1ba3430
13ab602538465
145287017a220
152904e882630
hex15d475614a4

1500140410020 has 288 divisors, whose sum is σ = 5239349256960. Its totient is φ = 340336512000.

The previous prime is 1500140410009. The next prime is 1500140410031. The reversal of 1500140410020 is 200140410051.

1500140410020 is a `hidden beast` number, since 1 + 500 + 1 + 40 + 4 + 100 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1500140410009) and next prime (1500140410031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1500140409975 and 1500140410002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92656086 + ... + 92672274.

It is an arithmetic number, because the mean of its divisors is an integer number (18192184920).

Almost surely, 21500140410020 is an apocalyptic number.

1500140410020 is a gapful number since it is divisible by the number (10) 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 1500140410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619674628480).

1500140410020 is an abundant number, since it is smaller than the sum of its proper divisors (3739208846940).

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

1500140410020 is a wasteful number, since it uses less digits than its factorization.

1500140410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16755 (or 16750 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1500140410020 its reverse (200140410051), we get a palindrome (1700280820071).

The spelling of 1500140410020 in words is "one trillion, five hundred billion, one hundred forty million, four hundred ten thousand, twenty".