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1145219000384 = 2617101107173563
BaseRepresentation
bin10000101010100100010…
…111110010100001000000
311001111000021120222211202
4100222210113302201000
5122230402031003014
62234034545400332
7145511410613624
oct20524427624100
94044007528752
101145219000384
114017592a7298
12165b4b6390a8
1383cbc196b34
143d600c63184
151ebca74d3de
hex10aa45f2840

1145219000384 has 224 divisors, whose sum is σ = 2471317278336. Its totient is φ = 524614860800.

The previous prime is 1145219000363. The next prime is 1145219000477. The reversal of 1145219000384 is 4830009125411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2034136487 + ... + 2034137049.

Almost surely, 21145219000384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145219000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235658639168).

1145219000384 is an abundant number, since it is smaller than the sum of its proper divisors (1326098277952).

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

1145219000384 is a wasteful number, since it uses less digits than its factorization.

1145219000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 1145219000384 in words is "one trillion, one hundred forty-five billion, two hundred nineteen million, three hundred eighty-four", and thus it is an aban number.