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20240130440225 = 527331761357073
BaseRepresentation
bin1001001101000100001011…
…10010001111110000100001
32122122221022111020210000002
410212202011302033300201
510123103241343041400
6111014104302505345
74156205205052613
oct446420562176041
978587274223002
1020240130440225
1164a3877a79a13
12232a80a895255
13b3a8366c6417
144dd8add82db3
1525175b4aaed5
hex126885c8fc21

20240130440225 has 48 divisors (see below), whose sum is σ = 25563906214512. Its totient is φ = 15893666242560.

The previous prime is 20240130440207. The next prime is 20240130440269. The reversal of 20240130440225 is 52204403104202.

It can be written as a sum of positive squares in 24 ways, for example, as 19504597792801 + 735532647424 = 4416401^2 + 857632^2 .

It is a de Polignac number, because none of the positive numbers 2k-20240130440225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 354607289 + ... + 354664361.

It is an arithmetic number, because the mean of its divisors is an integer number (532581379469).

Almost surely, 220240130440225 is an apocalyptic number.

20240130440225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20240130440225 is a deficient number, since it is larger than the sum of its proper divisors (5323775774287).

20240130440225 is a wasteful number, since it uses less digits than its factorization.

20240130440225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58086 (or 58081 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 20240130440225 its reverse (52204403104202), we get a palindrome (72444533544427).

The spelling of 20240130440225 in words is "twenty trillion, two hundred forty billion, one hundred thirty million, four hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 25 73 317 365 613 1585 1825 3065 7925 15325 23141 44749 57073 115705 194321 223745 285365 578525 971605 1118725 1426825 4166329 4858025 14185433 18092141 20831645 34985749 70927165 90460705 104158225 174928745 354635825 452303525 874643725 1320726293 2553959677 6603631465 11090482433 12769798385 33018157325 55452412165 63848991925 277262060825 809605217609 4048026088045 20240130440225