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55430140300 = 225223373132081
BaseRepresentation
bin110011100111111001…
…001101000110001100
312022002000120212202021
4303213321031012030
51402010103442200
641244140135524
74001416263403
oct634771150614
9168060525667
1055430140300
1121564961907
12a8ab5375a4
1352c4a639b2
14297b9a063a
15169646541a
hexce7e4d18c

55430140300 has 144 divisors (see below), whose sum is σ = 129379344192. Its totient is φ = 20559052800.

The previous prime is 55430140291. The next prime is 55430140307. The reversal of 55430140300 is 304103455.

It is a super-3 number, since 3×554301403003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (55430140307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26635260 + ... + 26637340.

It is an arithmetic number, because the mean of its divisors is an integer number (898467668).

Almost surely, 255430140300 is an apocalyptic number.

55430140300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55430140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64689672096).

55430140300 is an abundant number, since it is smaller than the sum of its proper divisors (73949203892).

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

55430140300 is a wasteful number, since it uses less digits than its factorization.

55430140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 55430140300 its reverse (304103455), we get a palindrome (55734243755).

The spelling of 55430140300 in words is "fifty-five billion, four hundred thirty million, one hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 37 46 50 74 92 100 115 148 185 230 313 370 460 575 626 740 851 925 1150 1252 1565 1702 1850 2081 2300 3130 3404 3700 4162 4255 6260 7199 7825 8324 8510 10405 11581 14398 15650 17020 20810 21275 23162 28796 31300 35995 41620 42550 46324 47863 52025 57905 71990 76997 85100 95726 104050 115810 143980 153994 179975 191452 208100 231620 239315 266363 289525 307988 359950 384985 478630 532726 579050 651353 719900 769970 957260 1065452 1158100 1196575 1302706 1331815 1539940 1770931 1924925 2393150 2605412 2663630 3256765 3541862 3849850 4786300 5327260 6513530 6659075 7083724 7699700 8854655 13027060 13318150 14981119 16283825 17709310 24100061 26636300 29962238 32567650 35418620 44273275 48200122 59924476 65135300 74905595 88546550 96400244 120500305 149811190 177093100 241000610 299622380 374527975 482001220 554301403 602501525 749055950 1108602806 1205003050 1498111900 2217205612 2410006100 2771507015 5543014030 11086028060 13857535075 27715070150 55430140300