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4473240423744 = 263172415686631
BaseRepresentation
bin100000100011000000111…
…1010000000110101000000
3120211122012211001002111210
41001012001322000311000
51041242144022024434
613302551150410120
7641116032145251
oct101060172006500
916748184032453
104473240423744
1114750aa669394
12602b3b200940
13265a95004601
14116712626b28
157b55c6e9ee9
hex41181e80d40

4473240423744 has 112 divisors (see below), whose sum is σ = 12583652247936. Its totient is φ = 1397546188800.

The previous prime is 4473240423739. The next prime is 4473240423749.

4473240423744 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4473240423739) and next prime (4473240423749).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4473240423693 and 4473240423702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4473240423749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2056692 + ... + 3629939.

It is an arithmetic number, because the mean of its divisors is an integer number (112354037928).

Almost surely, 24473240423744 is an apocalyptic number.

It is an amenable number.

4473240423744 is an abundant number, since it is smaller than the sum of its proper divisors (8110411824192).

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

4473240423744 is a wasteful number, since it uses less digits than its factorization.

4473240423744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686904 (or 5686894 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 48.

It can be divided in two parts, 4473240 and 423744, that added together give a palindrome (4896984).

The spelling of 4473240423744 in words is "four trillion, four hundred seventy-three billion, two hundred forty million, four hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 241 272 408 482 544 723 816 964 1088 1446 1632 1928 2892 3264 3856 4097 5784 7712 8194 11568 12291 15424 16388 23136 24582 32776 46272 49164 65552 98328 131104 196656 262208 393312 786624 5686631 11373262 17059893 22746524 34119786 45493048 68239572 90986096 96672727 136479144 181972192 193345454 272958288 290018181 363944384 386690908 545916576 580036362 773381816 1091833152 1160072724 1370478071 1546763632 2320145448 2740956142 3093527264 4111434213 4640290896 5481912284 6187054528 8222868426 9280581792 10963824568 16445736852 18561163584 21927649136 23298127207 32891473704 43855298272 46596254414 65782947408 69894381621 87710596544 93192508828 131565894816 139788763242 186385017656 263131789632 279577526484 372770035312 559155052968 745540070624 1118310105936 1491080141248 2236620211872 4473240423744