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54002141200 = 2452729665051
BaseRepresentation
bin110010010010110001…
…110100100000010000
312011101111120000020201
4302102301310200100
51341044022004300
640450325144544
73621136424620
oct622261644020
9164344500221
1054002141200
11209a1889a67
12a57125b154
135127c60c07
142884080880
151610dde66a
hexc92c74810

54002141200 has 120 divisors (see below), whose sum is σ = 153387593280. Its totient is φ = 17876544000.

The previous prime is 54002141131. The next prime is 54002141201. The reversal of 54002141200 is 214120045.

It is not an unprimeable number, because it can be changed into a prime (54002141201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251326 + ... + 413725.

It is an arithmetic number, because the mean of its divisors is an integer number (1278229944).

Almost surely, 254002141200 is an apocalyptic number.

54002141200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54002141200 is an abundant number, since it is smaller than the sum of its proper divisors (99385452080).

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

54002141200 is a wasteful number, since it uses less digits than its factorization.

54002141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665105 (or 665094 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 54002141200 its reverse (214120045), we get a palindrome (54216261245).

The spelling of 54002141200 in words is "fifty-four billion, two million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 50 56 58 70 80 100 112 116 140 145 175 200 203 232 280 290 350 400 406 464 560 580 700 725 812 1015 1160 1400 1450 1624 2030 2320 2800 2900 3248 4060 5075 5800 8120 10150 11600 16240 20300 40600 81200 665051 1330102 2660204 3325255 4655357 5320408 6650510 9310714 10640816 13301020 16626275 18621428 19286479 23276785 26602040 33252550 37242856 38572958 46553570 53204080 66505100 74485712 77145916 93107140 96432395 116383925 133010200 135005353 154291832 186214280 192864790 232767850 266020400 270010706 308583664 372428560 385729580 465535700 482161975 540021412 675026765 771459160 931071400 964323950 1080042824 1350053530 1542918320 1862142800 1928647900 2160085648 2700107060 3375133825 3857295800 5400214120 6750267650 7714591600 10800428240 13500535300 27001070600 54002141200