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14254411445241 = 3114344997123041
BaseRepresentation
bin1100111101101101110100…
…1000010111001111111001
31212110201010102221110002120
43033123131020113033321
53332021013312221431
650152215231151453
73000563414064522
oct317333510271771
955421112843076
1014254411445241
1145a6297715a50
121722725675589
137c5253c52466
14373cbaad7849
1519abcb162196
hexcf6dd2173f9

14254411445241 has 64 divisors (see below), whose sum is σ = 21285941529600. Its totient is φ = 8410300416000.

The previous prime is 14254411445221. The next prime is 14254411445359.

14254411445241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14254411445241 - 221 = 14254409348089 is a prime.

It is a super-2 number, since 2×142544114452412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14254411445193 and 14254411445202.

It is not an unprimeable number, because it can be changed into a prime (14254411445201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 618642681 + ... + 618665721.

It is an arithmetic number, because the mean of its divisors is an integer number (332592836400).

Almost surely, 214254411445241 is an apocalyptic number.

14254411445241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14254411445241 is a deficient number, since it is larger than the sum of its proper divisors (7031530084359).

14254411445241 is a wasteful number, since it uses less digits than its factorization.

14254411445241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24518.

The product of its digits is 409600, while the sum is 42.

The spelling of 14254411445241 in words is "fourteen trillion, two hundred fifty-four billion, four hundred eleven million, four hundred forty-five thousand, two hundred forty-one".

Divisors: 1 3 11 33 43 129 449 473 971 1347 1419 2913 4939 10681 14817 19307 23041 32043 41753 57921 69123 125259 212377 253451 435979 459283 637131 760353 990763 1307937 1377849 2972289 4795769 10345409 10898393 14387307 18747097 22372811 31036227 32695179 56241291 67118433 113799499 206218067 246100921 341398497 444852587 618654201 738302763 962030873 1334557761 2886092619 4893378457 10045392139 10582339603 14680135371 30136176417 31747018809 110499313529 331497940587 431951861977 1295855585931 4751470481747 14254411445241