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44830420380753 = 3717401519760257
BaseRepresentation
bin10100011000101111001010…
…10010000010110001010001
312212201202011002001220120220
422030113211102002301101
521334000200104141003
6235202451045023253
712304614415605450
oct1214274522026121
9185652132056526
1044830420380753
111331452463a777
1250405290b4b29
131c0264b830a57
14b0db37d76b97
1552b21e980353
hex28c5e5482c51

44830420380753 has 64 divisors (see below), whose sum is σ = 72526968442368. Its totient is φ = 24045325516800.

The previous prime is 44830420380751. The next prime is 44830420380797. The reversal of 44830420380753 is 35708302403844.

It is not a de Polignac number, because 44830420380753 - 21 = 44830420380751 is a prime.

It is a super-3 number, since 3×448304203807533 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 44830420380696 and 44830420380705.

It is not an unprimeable number, because it can be changed into a prime (44830420380751) 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 63 ways as a sum of consecutive naturals, for example, 743956801 + ... + 744017057.

It is an arithmetic number, because the mean of its divisors is an integer number (1133233881912).

Almost surely, 244830420380753 is an apocalyptic number.

It is an amenable number.

44830420380753 is a deficient number, since it is larger than the sum of its proper divisors (27696548061615).

44830420380753 is a wasteful number, since it uses less digits than its factorization.

44830420380753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65882.

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 44830420380753 in words is "forty-four trillion, eight hundred thirty billion, four hundred twenty million, three hundred eighty thousand, seven hundred fifty-three".

Divisors: 1 3 7 17 21 51 119 357 401 1203 2807 5197 6817 8421 15591 20451 36379 47719 60257 88349 109137 143157 180771 265047 421799 618443 1024369 1265397 1855329 2083997 3073107 6251991 7170583 14587979 21511749 24163057 35427949 43763937 72489171 106283847 169141399 247995643 313155629 410771969 507424197 743986929 939466887 1232315907 2192089403 2875403783 5323645693 6576268209 8626211349 15970937079 37265519851 111796559553 125575407229 376726221687 879027850603 2134781922893 2637083551809 6404345768679 14943473460251 44830420380753