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200144044421310 = 2351115591670323291
BaseRepresentation
bin101101100000011110101010…
…101010111111000010111110
3222020122120202120121211100110
4231200132222222333002332
5202213130000332440220
61545400523225210450
760104633666561553
oct5540365252770276
9866576676554313
10200144044421310
1158854681371040
121a54530b630a26
13878a66ba26682
14375d04844aa2a
151821314dacbe0
hexb607aaabf0be

200144044421310 has 128 divisors (see below), whose sum is σ = 524403526533120. Its totient is φ = 48483661251200.

The previous prime is 200144044421249. The next prime is 200144044421317. The reversal of 200144044421310 is 13124440441002.

It is a happy number.

It is a super-4 number, since 4×2001440444213104 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200144044421317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8593180765 + ... + 8593204055.

It is an arithmetic number, because the mean of its divisors is an integer number (4096902551040).

Almost surely, 2200144044421310 is an apocalyptic number.

200144044421310 is an abundant number, since it is smaller than the sum of its proper divisors (324259482111810).

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

200144044421310 is a wasteful number, since it uses less digits than its factorization.

200144044421310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41574.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 200144044421310 its reverse (13124440441002), we get a palindrome (213268484862312).

The spelling of 200144044421310 in words is "two hundred trillion, one hundred forty-four billion, forty-four million, four hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1559 3118 4677 7795 9354 15590 16703 17149 23291 23385 33406 34298 46582 46770 50109 51447 69873 83515 85745 100218 102894 116455 139746 167030 171490 183733 232910 250545 256201 257235 349365 367466 501090 512402 514470 551199 698730 768603 918665 1102398 1281005 1537206 1837330 2562010 2755995 3843015 5511990 7686030 26039977 36310669 52079954 72621338 78119931 108932007 130199885 156239862 181553345 217864014 260399770 286439747 363106690 389029573 390599655 399417359 544660035 572879494 778059146 781199310 798834718 859319241 1089320070 1167088719 1198252077 1432198735 1718638482 1945147865 1997086795 2334177438 2396504154 2864397470 3890295730 3994173590 4279325303 4296596205 5835443595 5991260385 8558650606 8593192410 11670887190 11982520770 12837975909 21396626515 25675951818 42793253030 64189879545 128379759090 606497104307 1212994208614 1819491312921 3032485521535 3638982625842 6064971043070 6671468147377 9097456564605 13342936294754 18194913129210 20014404442131 33357340736885 40028808884262 66714681473770 100072022210655 200144044421310