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30403313453344 = 2513531378960153
BaseRepresentation
bin1101110100110110100101…
…01100101100100100100000
310222122112021012002222222011
412322123102230230210200
512441111441221001334
6144355031150122304
76255365310234106
oct672332254544440
9128575235088864
1030403313453344
119761a77916a47
1234b04481b0394
1313c7035390270
1477175762bc76
1537acd7531564
hex1ba6d2b2c920

30403313453344 has 48 divisors (see below), whose sum is σ = 65677114214712. Its totient is φ = 13767538157568.

The previous prime is 30403313453323. The next prime is 30403313453423. The reversal of 30403313453344 is 44335431330403.

It can be written as a sum of positive squares in 4 ways, for example, as 29907117187600 + 496196265744 = 5468740^2 + 704412^2 .

It is a super-3 number, since 3×304033134533443 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 30403313453297 and 30403313453306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 689458029 + ... + 689502124.

Almost surely, 230403313453344 is an apocalyptic number.

It is an amenable number.

30403313453344 is an abundant number, since it is smaller than the sum of its proper divisors (35273800761368).

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

30403313453344 is a wasteful number, since it uses less digits than its factorization.

30403313453344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378960229 (or 1378960221 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 40.

Adding to 30403313453344 its reverse (44335431330403), we get a palindrome (74738744783747).

The spelling of 30403313453344 in words is "thirty trillion, four hundred three billion, three hundred thirteen million, four hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 689 848 1378 1696 2756 5512 11024 22048 1378960153 2757920306 5515840612 11031681224 17926481989 22063362448 35852963978 44126724896 71705927956 73084888109 143411855912 146169776218 286823711824 292339552436 573647423648 584679104872 950103545417 1169358209744 1900207090834 2338716419488 3800414181668 7600828363336 15201656726672 30403313453344