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14455240541550 = 232521712591500853
BaseRepresentation
bin1101001001011001111101…
…1110100100010101101110
31220011220111120022120220200
43102112133132210111232
53343313313034312200
650424351255454330
73021233223201114
oct322263736442556
956156446276820
1014455240541550
114673484490506
1217556329873a6
1380b17ac71063
1437d8ccd59ab4
151a10322a9800
hexd259f7a456e

14455240541550 has 144 divisors (see below), whose sum is σ = 41153596782480. Its totient is φ = 3625097886720.

The previous prime is 14455240541549. The next prime is 14455240541569. The reversal of 14455240541550 is 5514504255441.

14455240541550 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 5 + 2 + 40 + 54 + 1 + 550 = 666.

It is a super-2 number, since 2×144552405415502 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14455240541496 and 14455240541505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8880924 + ... + 10381776.

It is an arithmetic number, because the mean of its divisors is an integer number (285788866545).

Almost surely, 214455240541550 is an apocalyptic number.

14455240541550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14455240541550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576798391240).

14455240541550 is an abundant number, since it is smaller than the sum of its proper divisors (26698356240930).

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

14455240541550 is a wasteful number, since it uses less digits than its factorization.

14455240541550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502147 (or 1502139 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

Adding to 14455240541550 its reverse (5514504255441), we get a palindrome (19969744796991).

The spelling of 14455240541550 in words is "fourteen trillion, four hundred fifty-five billion, two hundred forty million, five hundred forty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1259 1275 1530 2518 2550 3777 3825 6295 7554 7650 11331 12590 18885 21403 22662 31475 37770 42806 56655 62950 64209 94425 107015 113310 128418 188850 192627 214030 283275 321045 385254 535075 566550 642090 963135 1070150 1500853 1605225 1926270 3001706 3210450 4502559 4815675 7504265 9005118 9631350 13507677 15008530 22512795 25514501 27015354 37521325 45025590 51029002 67538385 75042650 76543503 112563975 127572505 135076770 153087006 225127950 229630509 255145010 337691925 382717515 459261018 637862525 675383850 765435030 1148152545 1275725050 1889573927 1913587575 2296305090 3779147854 3827175150 5668721781 5740762725 9447869635 11337443562 11481525450 17006165343 18895739270 28343608905 32122756759 34012330686 47239348175 56687217810 64245513518 85030826715 94478696350 96368270277 141718044525 160613783795 170061653430 192736540554 283436089050 289104810831 321227567590 425154133575 481841351385 578209621662 803068918975 850308267150 963682702770 1445524054155 1606137837950 2409206756925 2891048108310 4818413513850 7227620270775 14455240541550