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305213534305240 = 235117910186936599
BaseRepresentation
bin100010101100101110001000…
…0010010101111101111011000
31111000200010110222112100020011
41011121130100102233233120
5310001104304240231430
63001045054554011304
7121200643623050131
oct10531342022575730
91430603428470204
10305213534305240
1189283373240010
122a294517116b34
131013c688793792
1455525b1990c88
1525444877e922a
hex11597104afbd8

305213534305240 has 128 divisors (see below), whose sum is σ = 766154868480000. Its totient is φ = 108496874304000.

The previous prime is 305213534305237. The next prime is 305213534305247. The reversal of 305213534305240 is 42503435312503.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 305213534305193 and 305213534305202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305213534305247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39957540 + ... + 46979059.

It is an arithmetic number, because the mean of its divisors is an integer number (5985584910000).

Almost surely, 2305213534305240 is an apocalyptic number.

It is an amenable number.

305213534305240 is an abundant number, since it is smaller than the sum of its proper divisors (460941334174760).

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

305213534305240 is a wasteful number, since it uses less digits than its factorization.

305213534305240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86936801 (or 86936797 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 305213534305240 its reverse (42503435312503), we get a palindrome (347716969617743).

The spelling of 305213534305240 in words is "three hundred five trillion, two hundred thirteen billion, five hundred thirty-four million, three hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 101 110 158 202 220 316 395 404 440 505 632 790 808 869 1010 1111 1580 1738 2020 2222 3160 3476 4040 4345 4444 5555 6952 7979 8690 8888 11110 15958 17380 22220 31916 34760 39895 44440 63832 79790 87769 159580 175538 319160 351076 438845 702152 877690 1755380 3510760 86936599 173873198 347746396 434682995 695492792 869365990 956302589 1738731980 1912605178 3477463960 3825210356 4781512945 6867991321 7650420712 8780596499 9563025890 13735982642 17561192998 19126051780 27471965284 34339956605 35122385996 38252103560 43902982495 54943930568 68679913210 70244771992 75547904531 87805964990 96586561489 137359826420 151095809062 175611929980 193173122978 274719652840 302191618124 351223859960 377739522655 386346245956 482932807445 604383236248 693667123421 755479045310 772692491912 965865614890 1387334246842 1510958090620 1931731229780 2774668493684 3021916181240 3468335617105 3863462459560 5549336987368 6936671234210 7630338357631 13873342468420 15260676715262 27746684936840 30521353430524 38151691788155 61042706861048 76303383576310 152606767152620 305213534305240