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1142103330432 = 2732991409141
BaseRepresentation
bin10000100111101010101…
…010011100111010000000
311001011222010220120011100
4100213222222130322000
5122203011423033212
62232401450014400
7145341246063021
oct20475252347200
94034863816140
101142103330432
114003aa612349
12165420117400
138391384354c
143d3c714ac48
151ea96e5bbdc
hex109eaa9ce80

1142103330432 has 48 divisors (see below), whose sum is σ = 3286521305730. Its totient is φ = 380701109760.

The previous prime is 1142103330377. The next prime is 1142103330461. The reversal of 1142103330432 is 2340333012411.

It is a happy number.

1142103330432 is a `hidden beast` number, since 1 + 14 + 210 + 3 + 3 + 3 + 0 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1077493824576 + 64609505856 = 1038024^2 + 254184^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1142103330396 and 1142103330405.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 495703419 + ... + 495705722.

Almost surely, 21142103330432 is an apocalyptic number.

1142103330432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142103330432 is an abundant number, since it is smaller than the sum of its proper divisors (2144417975298).

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

1142103330432 is an equidigital number, since it uses as much as digits as its factorization.

1142103330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991409161 (or 991409146 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1142103330432 its reverse (2340333012411), we get a palindrome (3482436342843).

The spelling of 1142103330432 in words is "one trillion, one hundred forty-two billion, one hundred three million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 991409141 1982818282 2974227423 3965636564 5948454846 7931273128 8922682269 11896909692 15862546256 17845364538 23793819384 31725092512 35690729076 47587638768 63450185024 71381458152 95175277536 126900370048 142762916304 190350555072 285525832608 380701110144 571051665216 1142103330432