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1341134441200 = 245224123815843
BaseRepresentation
bin10011100001000001110…
…101111000101011110000
311202012200222001120111101
4103201001311320223300
5133433120404104300
62504035245254144
7165615363442051
oct23410165705360
94665628046441
101341134441200
11477854479744
12197b07264354
13996121c8c88
1448ca869c728
1524d452e7b6a
hex13841d78af0

1341134441200 has 120 divisors (see below), whose sum is σ = 3237357925296. Its totient is φ = 533912064000.

The previous prime is 1341134441173. The next prime is 1341134441239. The reversal of 1341134441200 is 21444311431.

It is a congruent number.

It is an unprimeable number.

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, 229525479 + ... + 229531321.

Almost surely, 21341134441200 is an apocalyptic number.

1341134441200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341134441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618678962648).

1341134441200 is an abundant number, since it is smaller than the sum of its proper divisors (1896223484096).

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

1341134441200 is a wasteful number, since it uses less digits than its factorization.

1341134441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1341134441200 its reverse (21444311431), we get a palindrome (1362578752631).

The spelling of 1341134441200 in words is "one trillion, three hundred forty-one billion, one hundred thirty-four million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 241 400 482 964 1205 1928 2381 2410 3856 4762 4820 5843 6025 9524 9640 11686 11905 12050 19048 19280 23372 23810 24100 29215 38096 46744 47620 48200 58430 59525 93488 95240 96400 116860 119050 146075 190480 233720 238100 292150 467440 476200 573821 584300 952400 1147642 1168600 1408163 2295284 2337200 2816326 2869105 4590568 5632652 5738210 7040815 9181136 11265304 11476420 13912183 14081630 14345525 22530608 22952840 27824366 28163260 28691050 35204075 45905680 55648732 56326520 57382100 69560915 70408150 111297464 112653040 114764200 139121830 140816300 222594928 229528400 278243660 281632600 347804575 556487320 563265200 695609150 1112974640 1391218300 2782436600 3352836103 5564873200 6705672206 13411344412 16764180515 26822688824 33528361030 53645377648 67056722060 83820902575 134113444120 167641805150 268226888240 335283610300 670567220600 1341134441200