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5130224342432 = 257217192460397
BaseRepresentation
bin100101010100111100100…
…1100110001010110100000
3200011110000011012010222222
41022221321030301112200
51133023144412424212
614524443104050212
71036434512260100
oct112517114612640
920143004163888
105130224342432
1116a8796995462
126aa331903968
132b2a16596ba7
1413a43896d200
158d6b00ebc72
hex4aa793315a0

5130224342432 has 72 divisors (see below), whose sum is σ = 12440255205924. Its totient is φ = 2069334177792.

The previous prime is 5130224342431. The next prime is 5130224342437. The reversal of 5130224342432 is 2342434220315.

It can be written as a sum of positive squares in 2 ways, for example, as 5129482106896 + 742235536 = 2264836^2 + 27244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5130224342392 and 5130224342401.

It is not an unprimeable number, because it can be changed into a prime (5130224342431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96203543 + ... + 96256854.

Almost surely, 25130224342432 is an apocalyptic number.

It is an amenable number.

5130224342432 is an abundant number, since it is smaller than the sum of its proper divisors (7310030863492).

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

5130224342432 is a wasteful number, since it uses less digits than its factorization.

5130224342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192460438 (or 192460423 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 5130224342432 its reverse (2342434220315), we get a palindrome (7472658562747).

The spelling of 5130224342432 in words is "five trillion, one hundred thirty billion, two hundred twenty-four million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 6664 13328 26656 192460397 384920794 769841588 1347222779 1539683176 2694445558 3079366352 3271826749 5388891116 6158732704 6543653498 9430559453 10777782232 13087306996 18861118906 21555564464 22902787243 26174613992 37722237812 43111128928 45805574486 52349227984 75444475624 91611148972 104698455968 150888951248 160319510701 183222297944 301777902496 320639021402 366444595888 641278042804 732889191776 1282556085608 2565112171216 5130224342432