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45114334200 = 233252131927963
BaseRepresentation
bin101010000001000001…
…100001101111111000
311022110002120122002200
4222001001201233320
51214343232143300
632420352430200
73154655341065
oct520101415770
9138402518080
1045114334200
1118150958021
1288b0848360
13433c803210
14227d911c6c
1512909c5200
hexa81061bf8

45114334200 has 144 divisors (see below), whose sum is σ = 163163593320. Its totient is φ = 11105061120.

The previous prime is 45114334163. The next prime is 45114334219. The reversal of 45114334200 is 243341154.

It is a happy number.

45114334200 is a `hidden beast` number, since 451 + 1 + 4 + 3 + 3 + 4 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940582 + ... + 987381.

Almost surely, 245114334200 is an apocalyptic number.

45114334200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45114334200 is an abundant number, since it is smaller than the sum of its proper divisors (118049259120).

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

45114334200 is a wasteful number, since it uses less digits than its factorization.

45114334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927998 (or 1927986 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 45114334200 its reverse (243341154), we get a palindrome (45357675354).

The spelling of 45114334200 in words is "forty-five billion, one hundred fourteen million, three hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 1927963 3855926 5783889 7711852 9639815 11567778 15423704 17351667 19279630 23135556 25063519 28919445 34703334 38559260 46271112 48199075 50127038 57838890 69406668 75190557 77118520 86758335 96398150 100254076 115677780 125317595 138813336 144597225 150381114 173516670 192796300 200508152 225571671 231355560 250635190 289194450 300762228 347033340 375952785 385592600 433791675 451143342 501270380 578388900 601524456 626587975 694066680 751905570 867583350 902286684 1002540760 1127858355 1156777800 1253175950 1503811140 1735166700 1804573368 1879763925 2255716710 2506351900 3007622280 3470333400 3759527850 4511433420 5012703800 5639291775 7519055700 9022866840 11278583550 15038111400 22557167100 45114334200