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1075393888144 = 2431283632
BaseRepresentation
bin11111010011000100111…
…10000111111110010000
310210210210001022202212121
433221202132013332100
5120104401313410034
62142010143104024
7140460156141052
oct17514236077620
93723701282777
101075393888144
113850878a5a64
121545032a2014
137a542053484
143a0995738d2
151ce906861b4
hexfa62787f90

1075393888144 has 45 divisors (see below), whose sum is σ = 2153213378139. Its totient is φ = 520289660640.

The previous prime is 1075393888141. The next prime is 1075393888189. The reversal of 1075393888144 is 4418883935701.

The square root of 1075393888144 is 1037012.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (1075393888141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128585307 + ... + 128593669.

Almost surely, 21075393888144 is an apocalyptic number.

1075393888144 is the 1037012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075393888144

1075393888144 is an abundant number, since it is smaller than the sum of its proper divisors (1077819489995).

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

1075393888144 is an frugal number, since it uses more digits than its factorization.

1075393888144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16796 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 1075393888144 in words is "one trillion, seventy-five billion, three hundred ninety-three million, eight hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 8363 15376 16726 33452 66904 133808 259253 518506 1037012 2074024 4148048 8036843 16073686 32147372 64294744 69939769 128589488 139879538 279759076 559518152 1119036304 2168132839 4336265678 8672531356 17345062712 34690125424 67212118009 134424236018 268848472036 537696944072 1075393888144