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344322142000 = 2453199061109
BaseRepresentation
bin1010000001010110011…
…00101110111100110000
31012220202101212010102221
411000223030232330300
521120132432021000
6422102430250424
733606423626254
oct5005314567460
91186671763387
10344322142000
11123031966621
1256894956a14
1326614483a35
141294575c264
158e5385061a
hex502b32ef30

344322142000 has 80 divisors (see below), whose sum is σ = 876390559200. Its totient is φ = 130479955200.

The previous prime is 344322141997. The next prime is 344322142007. The reversal of 344322142000 is 241223443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (344322142007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4492555 + ... + 4568554.

It is an arithmetic number, because the mean of its divisors is an integer number (10954881990).

Almost surely, 2344322142000 is an apocalyptic number.

It is an amenable number.

344322142000 is an abundant number, since it is smaller than the sum of its proper divisors (532068417200).

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

344322142000 is a wasteful number, since it uses less digits than its factorization.

344322142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061151 (or 9061135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 344322142000 its reverse (241223443), we get a palindrome (344563365443).

The spelling of 344322142000 in words is "three hundred forty-four billion, three hundred twenty-two million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 9061109 18122218 36244436 45305545 72488872 90611090 144977744 172161071 181222180 226527725 344322142 362444360 453055450 688644284 724888720 860805355 906110900 1132638625 1377288568 1721610710 1812221800 2265277250 2754577136 3443221420 3624443600 4304026775 4530554500 6886442840 8608053550 9061109000 13772885680 17216107100 18122218000 21520133875 34432214200 43040267750 68864428400 86080535500 172161071000 344322142000