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1342152004224 = 2733495187511
BaseRepresentation
bin10011100001111110011…
…111100101001010000000
311202022022212210010112210
4103201332133211022000
5133442211403113344
62504324235222120
7165652530542103
oct23417637451200
94668285703483
101342152004224
114782268a8919
1219814bba7940
1399744c75285
1448d6389c73a
1524da47e7db9
hex1387e7e5280

1342152004224 has 32 divisors (see below), whose sum is σ = 3565091262240. Its totient is φ = 447384001280.

The previous prime is 1342152004177. The next prime is 1342152004231. The reversal of 1342152004224 is 4224002512431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×13421520042244 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a junction number, because it is equal to n+sod(n) for n = 1342152004191 and 1342152004200.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1747593372 + ... + 1747594139.

It is an arithmetic number, because the mean of its divisors is an integer number (111409101945).

Almost surely, 21342152004224 is an apocalyptic number.

It is an amenable number.

1342152004224 is an abundant number, since it is smaller than the sum of its proper divisors (2222939258016).

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

1342152004224 is an equidigital number, since it uses as much as digits as its factorization.

1342152004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495187528 (or 3495187516 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1342152004224 its reverse (4224002512431), we get a palindrome (5566154516655).

The spelling of 1342152004224 in words is "one trillion, three hundred forty-two billion, one hundred fifty-two million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3495187511 6990375022 10485562533 13980750044 20971125066 27961500088 41942250132 55923000176 83884500264 111846000352 167769000528 223692000704 335538001056 447384001408 671076002112 1342152004224