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3142444004200 = 2352659169314083
BaseRepresentation
bin101101101110101000010…
…000100011001101101000
3102010102012022210102200101
4231232220100203031220
5402441211131113300
610403341400515144
7443014456213054
oct55565020431550
912112168712611
103142444004200
1110017807983a6
1242903a17bab4
1319a43c846b17
14ac148d5ac64
1556b1ecceb6a
hex2dba8423368

3142444004200 has 96 divisors (see below), whose sum is σ = 7322111042400. Its totient is φ = 1254239804160.

The previous prime is 3142444004191. The next prime is 3142444004201. The reversal of 3142444004200 is 24004442413.

It is not an unprimeable number, because it can be changed into a prime (3142444004201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223130359 + ... + 223144441.

It is an arithmetic number, because the mean of its divisors is an integer number (76271990025).

Almost surely, 23142444004200 is an apocalyptic number.

It is an amenable number.

3142444004200 is an abundant number, since it is smaller than the sum of its proper divisors (4179667038200).

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

3142444004200 is a wasteful number, since it uses less digits than its factorization.

3142444004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16451 (or 16442 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 3142444004200 its reverse (24004442413), we get a palindrome (3166448446613).

The spelling of 3142444004200 in words is "three trillion, one hundred forty-two billion, four hundred forty-four million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 659 1318 1693 2636 3295 3386 5272 6590 6772 8465 13180 13544 14083 16475 16930 26360 28166 32950 33860 42325 56332 65900 67720 70415 84650 112664 131800 140830 169300 281660 338600 352075 563320 704150 1115687 1408300 2231374 2816600 4462748 5578435 8925496 9280697 11156870 18561394 22313740 23842519 27892175 37122788 44627480 46403485 47685038 55784350 74245576 92806970 95370076 111568700 119212595 185613940 190740152 223137400 232017425 238425190 371227880 464034850 476850380 596062975 928069700 953700760 1192125950 1856139400 2384251900 4768503800 15712220021 31424440042 62848880084 78561100105 125697760168 157122200210 314244400420 392805500525 628488800840 785611001050 1571222002100 3142444004200