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1144703913984 = 21232172238191
BaseRepresentation
bin10000101010000101101…
…010111001000000000000
311001102200101100220010200
4100222011222321000000
5122223323200221414
62233511505325200
7145462554504201
oct20520552710000
94042611326120
101144703913984
11401514576254
12165a27036800
1383c3955bc97
143d5926a15a8
151eb9a405109
hex10a85ab9000

1144703913984 has 312 divisors, whose sum is σ = 3517148823552. Its totient is φ = 357468733440.

The previous prime is 1144703913959. The next prime is 1144703913989. The reversal of 1144703913984 is 4893193074411.

1144703913984 is a `hidden beast` number, since 1 + 1 + 4 + 470 + 3 + 91 + 3 + 9 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1144703913984.

It is not an unprimeable number, because it can be changed into a prime (1144703913989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139747329 + ... + 139755519.

It is an arithmetic number, because the mean of its divisors is an integer number (11272912896).

Almost surely, 21144703913984 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 1144703913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758574411776).

1144703913984 is an abundant number, since it is smaller than the sum of its proper divisors (2372444909568).

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

1144703913984 is a wasteful number, since it uses less digits than its factorization.

1144703913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1144703913984 in words is "one trillion, one hundred forty-four billion, seven hundred three million, nine hundred thirteen thousand, nine hundred eighty-four".