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1344431204200 = 235271144383921
BaseRepresentation
bin10011100100000110010…
…110000010011101101000
311202112012201111111010201
4103210012112002131220
5134011343342013300
62505342334321544
7166063154453020
oct23440626023550
94675181444121
101344431204200
11479196402567
121986873592b4
1399a19216b06
14490dc474a80
1524e8995b66a
hex13906582768

1344431204200 has 96 divisors (see below), whose sum is σ = 3572700528960. Its totient is φ = 460902067200.

The previous prime is 1344431204189. The next prime is 1344431204239. The reversal of 1344431204200 is 24021344431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15978240 + ... + 16062160.

It is an arithmetic number, because the mean of its divisors is an integer number (37215630510).

Almost surely, 21344431204200 is an apocalyptic number.

1344431204200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344431204200 is an abundant number, since it is smaller than the sum of its proper divisors (2228269324760).

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

1344431204200 is a wasteful number, since it uses less digits than its factorization.

1344431204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95387 (or 95378 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1344431204200 its reverse (24021344431), we get a palindrome (1368452548631).

The spelling of 1344431204200 in words is "one trillion, three hundred forty-four billion, four hundred thirty-one million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 11443 22886 45772 57215 80101 83921 91544 114430 160202 167842 228860 286075 320404 335684 400505 419605 457720 572150 587447 640808 671368 801010 839210 1144300 1174894 1602020 1678420 2002525 2098025 2288600 2349788 2937235 3204040 3356840 4005050 4196050 4699576 5874470 8010100 8392100 11748940 14686175 16020200 16784200 23497880 29372350 58744700 117489400 960308003 1920616006 3841232012 4801540015 6722156021 7682464024 9603080030 13444312042 19206160060 24007700075 26888624084 33610780105 38412320120 48015400150 53777248168 67221560210 96030800300 134443120420 168053900525 192061600600 268886240840 336107801050 672215602100 1344431204200