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1442433771252 = 2232192108821303
BaseRepresentation
bin10100111111010111110…
…000001010011011110100
312002220011200121201111100
4110333113300022123310
5142113101021140002
63022351145410100
7206132565520605
oct24772760123364
95086150551440
101442433771252
11506807294731
121b3678199930
13a6036c6a766
144db58107dac
15277c363e11c
hex14fd7c0a6f4

1442433771252 has 36 divisors (see below), whose sum is σ = 3838054773280. Its totient is φ = 455505401232.

The previous prime is 1442433771209. The next prime is 1442433771263. The reversal of 1442433771252 is 2521773342441.

It is a happy number.

1442433771252 is a `hidden beast` number, since 1 + 4 + 4 + 24 + 3 + 377 + 1 + 252 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1442433771198 and 1442433771207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1054409968 + ... + 1054411335.

Almost surely, 21442433771252 is an apocalyptic number.

1442433771252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1442433771252 is an abundant number, since it is smaller than the sum of its proper divisors (2395621002028).

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

1442433771252 is a wasteful number, since it uses less digits than its factorization.

1442433771252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108821332 (or 2108821327 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 1442433771252 in words is "one trillion, four hundred forty-two billion, four hundred thirty-three million, seven hundred seventy-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 2108821303 4217642606 6326463909 8435285212 12652927818 18979391727 25305855636 37958783454 40067604757 75917566908 80135209514 120202814271 160270419028 240405628542 360608442813 480811257084 721216885626 1442433771252