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30424313332520 = 235191031777218717
BaseRepresentation
bin1101110101011101101100…
…11000111000001100101000
310222201112110201002101120222
412322232312120320030220
512441432443203120040
6144412423034305212
76260040563246462
oct672566630701450
9128645421071528
1030424313332520
11976a973796a98
1234b4528b88208
1313c9000c62083
1477278a62d132
1537b615e57bb5
hex1babb6638328

30424313332520 has 128 divisors (see below), whose sum is σ = 72798449068800. Its totient is φ = 11410802159616.

The previous prime is 30424313332519. The next prime is 30424313332583. The reversal of 30424313332520 is 2523331342403.

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 31 ways as a sum of consecutive naturals, for example, 138994202 + ... + 139212918.

It is an arithmetic number, because the mean of its divisors is an integer number (568737883350).

Almost surely, 230424313332520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30424313332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36399224534400).

30424313332520 is an abundant number, since it is smaller than the sum of its proper divisors (42374135736280).

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

30424313332520 is a wasteful number, since it uses less digits than its factorization.

30424313332520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220627 (or 220623 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 35.

Adding to 30424313332520 its reverse (2523331342403), we get a palindrome (32947644674923).

The spelling of 30424313332520 in words is "thirty trillion, four hundred twenty-four billion, three hundred thirteen million, three hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 103 152 190 206 380 412 515 760 824 1030 1777 1957 2060 3554 3914 4120 7108 7828 8885 9785 14216 15656 17770 19570 33763 35540 39140 67526 71080 78280 135052 168815 183031 218717 270104 337630 366062 437434 675260 732124 874868 915155 1093585 1350520 1464248 1749736 1830310 2187170 3477589 3660620 4155623 4374340 6955178 7321240 8311246 8748680 13910356 16622492 17387945 20778115 22527851 27820712 33244984 34775890 41556230 45055702 69551780 83112460 90111404 112639255 139103560 166224920 180222808 225278510 388660109 428029169 450557020 777320218 856058338 901114040 1554640436 1712116676 1943300545 2140145845 3109280872 3424233352 3886601090 4280291690 7384542071 7773202180 8560583380 14769084142 15546404360 17121166760 29538168284 36922710355 40031991227 59076336568 73845420710 80063982454 147690841420 160127964908 200159956135 295381682840 320255929816 400319912270 760607833313 800639824540 1521215666626 1601279649080 3042431333252 3803039166565 6084862666504 7606078333130 15212156666260 30424313332520