Search a number
-
+
142324022501625 = 35317531512789621
BaseRepresentation
bin100000010111000101100100…
…110011011110000011111001
3200122221001011211120221102210
4200113011210303132003321
5122123314044230023000
61222410430414445333
741656366645435416
oct4027054463360371
9618831154527383
10142324022501625
1141392308360358
1213b67423203849
13615513694a973
14272073b4d510d
15116c293b11350
hex817164cde0f9

142324022501625 has 128 divisors (see below), whose sum is σ = 257181545567232. Its totient is φ = 69628915200000.

The previous prime is 142324022501603. The next prime is 142324022501719. The reversal of 142324022501625 is 526105220423241.

It is not a de Polignac number, because 142324022501625 - 211 = 142324022499577 is a prime.

It is a super-2 number, since 2×1423240225016252 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49624315 + ... + 52413935.

It is an arithmetic number, because the mean of its divisors is an integer number (2009230824744).

Almost surely, 2142324022501625 is an apocalyptic number.

142324022501625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142324022501625 is a deficient number, since it is larger than the sum of its proper divisors (114857523065607).

142324022501625 is a wasteful number, since it uses less digits than its factorization.

142324022501625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789860 (or 2789850 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 142324022501625 its reverse (526105220423241), we get a palindrome (668429242924866).

The spelling of 142324022501625 in words is "one hundred forty-two trillion, three hundred twenty-four billion, twenty-two million, five hundred one thousand, six hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 53 75 85 125 151 159 255 265 375 425 453 755 795 901 1275 1325 2125 2265 2567 2703 3775 3975 4505 6375 6625 7701 8003 11325 12835 13515 18875 19875 22525 24009 38505 40015 56625 64175 67575 112625 120045 136051 192525 200075 320875 337875 408153 600225 680255 962625 1000375 2040765 2789621 3001125 3401275 8368863 10203825 13948105 17006375 41844315 47423557 51019125 69740525 142270671 147849913 209221575 237117785 348702625 421232771 443549739 711353355 739249565 1046107875 1185588925 1263698313 2106163855 2217748695 2513448521 3556766775 3696247825 5927944625 6318491565 7160957107 7540345563 10530819275 11088743475 12567242605 17783833875 18481239125 21482871321 22325336863 31592457825 35804785535 37701727815 52654096375 55443717375 62836213025 66976010589 107414356605 111626684315 157962289125 179023927675 188508639075 314181065125 334880052945 379530726671 537071783025 558133421575 895119638375 942543195375 1138592180013 1674400264725 1897653633355 2685358915125 2790667107875 5692960900065 8372001323625 9488268166775 28464804500325 47441340833875 142324022501625