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1144247460200 = 2352132291921813
BaseRepresentation
bin10000101001101010011…
…101101010000101101000
311001101111120110122020222
4100221222131222011220
5122221404322211300
62233354322105212
7145445342635145
oct20515235520550
94041446418228
101144247460200
114012aa951819
1216591a1ab208
1383b95b128a0
143d54bc033cc
151eb702de785
hex10a6a76a168

1144247460200 has 96 divisors (see below), whose sum is σ = 2877532102200. Its totient is φ = 420646210560.

The previous prime is 1144247460149. The next prime is 1144247460269. The reversal of 1144247460200 is 20647424411.

It can be written as a sum of positive squares in 12 ways, for example, as 252238990756 + 892008469444 = 502234^2 + 944462^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365507 + ... + 1556306.

Almost surely, 21144247460200 is an apocalyptic number.

1144247460200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144247460200 is an abundant number, since it is smaller than the sum of its proper divisors (1733284642000).

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

1144247460200 is a wasteful number, since it uses less digits than its factorization.

1144247460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922071 (or 1922062 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 1144247460200 in words is "one trillion, one hundred forty-four billion, two hundred forty-seven million, four hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 229 260 325 458 520 650 916 1145 1300 1832 2290 2600 2977 4580 5725 5954 9160 11450 11908 14885 22900 23816 29770 45800 59540 74425 119080 148850 297700 595400 1921813 3843626 7687252 9609065 15374504 19218130 24983569 38436260 48045325 49967138 76872520 96090650 99934276 124917845 192181300 199868552 249835690 384362600 440095177 499671380 624589225 880190354 999342760 1249178450 1760380708 2200475885 2498356900 3520761416 4400951770 4996713800 5721237301 8801903540 11002379425 11442474602 17603807080 22004758850 22884949204 28606186505 44009517700 45769898408 57212373010 88019035400 114424746020 143030932525 228849492040 286061865050 572123730100 1144247460200