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1332124000040 = 23533303100001
BaseRepresentation
bin10011011000101000110…
…001110001111100101000
311201100110000022201220102
4103120220301301330220
5133311142221000130
62455545212244532
7165146163113231
oct23305061617450
94640400281812
101332124000040
11473a502a6959
12196211770748
13988075313a2
1448691b2a088
15249b9257645
hex13628c71f28

1332124000040 has 16 divisors (see below), whose sum is σ = 2997279000180. Its totient is φ = 532849600000.

The previous prime is 1332124000033. The next prime is 1332124000043. The reversal of 1332124000040 is 400004212331.

It can be written as a sum of positive squares in 2 ways, for example, as 1278152346916 + 53971653124 = 1130554^2 + 232318^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1332123999976 and 1332124000021.

It is not an unprimeable number, because it can be changed into a prime (1332124000043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 16651549961 + ... + 16651550040.

Almost surely, 21332124000040 is an apocalyptic number.

1332124000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332124000040 is an abundant number, since it is smaller than the sum of its proper divisors (1665155000140).

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

1332124000040 is a wasteful number, since it uses less digits than its factorization.

1332124000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33303100012 (or 33303100008 counting only the distinct ones).

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

Adding to 1332124000040 its reverse (400004212331), we get a palindrome (1732128212371).

The spelling of 1332124000040 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-four million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 33303100001 66606200002 133212400004 166515500005 266424800008 333031000010 666062000020 1332124000040