Search a number
-
+
5041430383200 = 253526731352179
BaseRepresentation
bin100100101011100110010…
…1010101100101001100000
3122211221210221200122210020
41021113030222230221200
51130044322134230300
614420000125233440
71030142226131301
oct111271452545140
918757727618706
105041430383200
111674071026682
12695090a02880
132a75355a2803
14136013cd47a8
158b214aa08a0
hex495ccaaca60

5041430383200 has 144 divisors (see below), whose sum is σ = 16654779650880. Its totient is φ = 1324315998720.

The previous prime is 5041430383189. The next prime is 5041430383273. The reversal of 5041430383200 is 23830341405.

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, 15515290 + ... + 15836889.

It is an arithmetic number, because the mean of its divisors is an integer number (115658192020).

Almost surely, 25041430383200 is an apocalyptic number.

5041430383200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5041430383200 is an abundant number, since it is smaller than the sum of its proper divisors (11613349267680).

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

5041430383200 is a wasteful number, since it uses less digits than its factorization.

5041430383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31352269 (or 31352256 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 5041430383200 in words is "five trillion, forty-one billion, four hundred thirty million, three hundred eighty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 67 75 80 96 100 120 134 150 160 200 201 240 268 300 335 400 402 480 536 600 670 800 804 1005 1072 1200 1340 1608 1675 2010 2144 2400 2680 3216 3350 4020 5025 5360 6432 6700 8040 10050 10720 13400 16080 20100 26800 32160 40200 53600 80400 160800 31352179 62704358 94056537 125408716 156760895 188113074 250817432 313521790 376226148 470282685 501634864 627043580 752452296 783804475 940565370 1003269728 1254087160 1504904592 1567608950 1881130740 2100595993 2351413425 2508174320 3009809184 3135217900 3762261480 4201191986 4702826850 5016348640 6270435800 6301787979 7524522960 8402383972 9405653700 10502979965 12540871600 12603575958 15049045920 16804767944 18811307400 21005959930 25081743200 25207151916 31508939895 33609535888 37622614800 42011919860 50414303832 52514899825 63017879790 67219071776 75245229600 84023839720 100828607664 105029799650 126035759580 157544699475 168047679440 201657215328 210059599300 252071519160 315089398950 336095358880 420119198600 504143038320 630178797900 840238397200 1008286076640 1260357595800 1680476794400 2520715191600 5041430383200