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1142385525504 = 28323115994421
BaseRepresentation
bin10000100111111011011…
…110111100001100000000
311001012200210220120000200
4100213323132330030000
5122204101143304004
62232445450245200
7145351243515126
oct20477336741400
94035623816020
101142385525504
11400534935713
1216549a726800
138395a149092
143d412807916
151eab1b00239
hex109fb7bc300

1142385525504 has 108 divisors (see below), whose sum is σ = 3400030251072. Its totient is φ = 368511436800.

The previous prime is 1142385525461. The next prime is 1142385525551. The reversal of 1142385525504 is 4055255832411.

1142385525504 is a `hidden beast` number, since 1 + 1 + 42 + 3 + 8 + 5 + 52 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1142385525504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7925787 + ... + 8068634.

It is an arithmetic number, because the mean of its divisors is an integer number (31481761584).

Almost surely, 21142385525504 is an apocalyptic number.

It is an amenable number.

1142385525504 is an abundant number, since it is smaller than the sum of its proper divisors (2257644725568).

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

1142385525504 is a wasteful number, since it uses less digits than its factorization.

1142385525504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15994474 (or 15994457 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 1142385525504 in words is "one trillion, one hundred forty-two billion, three hundred eighty-five million, five hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2976 3968 4464 5952 7936 8928 11904 17856 23808 35712 71424 15994421 31988842 47983263 63977684 95966526 127955368 143949789 191933052 255910736 287899578 383866104 495827051 511821472 575799156 767732208 991654102 1023642944 1151598312 1487481153 1535464416 1983308204 2047285888 2303196624 2974962306 3070928832 3966616408 4094571776 4462443459 4606393248 5949924612 6141857664 7933232816 8924886918 9212786496 11899849224 12283715328 15866465632 17849773836 18425572992 23799698448 31732931264 35699547672 36851145984 47599396896 63465862528 71399095344 95198793792 126931725056 142798190688 190397587584 285596381376 380795175168 571192762752 1142385525504