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30340252353444 = 22311503510789477
BaseRepresentation
bin1101110011000001000111…
…11101101100001110100100
310222102111111100112012120120
412321200203331230032210
512434043314100302234
6144310041452001540
76251003510565645
oct671404375541644
9128374440465516
1030340252353444
119738257537260
1234a01891602b0
1313c10c56a8077
1476c6943c96cc
153793461bb049
hex1b9823f6c3a4

30340252353444 has 96 divisors (see below), whose sum is σ = 77399288902656. Its totient is φ = 9173838276480.

The previous prime is 30340252353409. The next prime is 30340252353449. The reversal of 30340252353444 is 44435325204303.

It is a super-2 number, since 2×303402523534442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30340252353396 and 30340252353405.

It is not an unprimeable number, because it can be changed into a prime (30340252353449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 339039634 + ... + 339129110.

It is an arithmetic number, because the mean of its divisors is an integer number (806242592736).

Almost surely, 230340252353444 is an apocalyptic number.

It is an amenable number.

30340252353444 is an abundant number, since it is smaller than the sum of its proper divisors (47059036549212).

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

30340252353444 is a wasteful number, since it uses less digits than its factorization.

30340252353444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95105 (or 95103 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

Adding to 30340252353444 its reverse (44435325204303), we get a palindrome (74775577557747).

The spelling of 30340252353444 in words is "thirty trillion, three hundred forty billion, two hundred fifty-two million, three hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 503 1006 1509 2012 3018 5107 5533 6036 10214 11066 15321 16599 20428 22132 30642 33198 56177 61284 66396 89477 112354 168531 178954 224708 268431 337062 357908 536862 674124 984247 1073724 1968494 2568821 2952741 3936988 5137642 5905482 7706463 10275284 11810964 15412926 28257031 30825852 45006931 56514062 84771093 90013862 113028124 135020793 169542186 180027724 270041586 339084372 456959039 495076241 540083172 913918078 990152482 1370877117 1485228723 1827836156 1980304964 2741754234 2970457446 5026549429 5483508468 5940914892 10053098858 15079648287 20106197716 30159296574 60318593148 229850396617 459700793234 689551189851 919401586468 1379102379702 2528354362787 2758204759404 5056708725574 7585063088361 10113417451148 15170126176722 30340252353444