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14322140001450 = 2325273974494701
BaseRepresentation
bin1101000001101010001000…
…0100010011010010101010
31212201011221120011120212100
43100122202010103102222
53334123220320021300
650243300021154230
73005511660236211
oct320324204232252
955634846146770
1014322140001450
114621a92720746
12173388785b976
137cb758912718
143772a3b96078
1519c842142700
hexd06a21134aa

14322140001450 has 144 divisors (see below), whose sum is σ = 39408054894936. Its totient is φ = 3728083968000.

The previous prime is 14322140001349. The next prime is 14322140001509. The reversal of 14322140001450 is 5410004122341.

14322140001450 is a `hidden beast` number, since 1 + 432 + 214 + 0 + 0 + 0 + 14 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9847982169 + 14312292019281 = 99237^2 + 3783159^2 .

It is a super-2 number, since 2×143221400014502 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 939100 + ... + 5433800.

Almost surely, 214322140001450 is an apocalyptic number.

14322140001450 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 14322140001450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19704027447468).

14322140001450 is an abundant number, since it is smaller than the sum of its proper divisors (25085914893486).

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

14322140001450 is a wasteful number, since it uses less digits than its factorization.

14322140001450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494889 (or 4494881 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14322140001450 its reverse (5410004122341), we get a palindrome (19732144123791).

The spelling of 14322140001450 in words is "fourteen trillion, three hundred twenty-two billion, one hundred forty million, one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 97 146 150 194 219 225 291 365 438 450 485 582 657 730 873 970 1095 1314 1455 1746 1825 2190 2425 2910 3285 3650 4365 4850 5475 6570 7081 7275 8730 10950 14162 14550 16425 21243 21825 32850 35405 42486 43650 63729 70810 106215 127458 177025 212430 318645 354050 531075 637290 1062150 1593225 3186450 4494701 8989402 13484103 22473505 26968206 40452309 44947010 67420515 80904618 112367525 134841030 202261545 224735050 328113173 337102575 404523090 435985997 656226346 674205150 871971994 984339519 1011307725 1307957991 1640565865 1968679038 2022615450 2179929985 2615915982 2953018557 3281131730 3923873973 4359859970 4921697595 5906037114 6539789955 7847747946 8202829325 9843395190 10899649925 13079579910 14765092785 16405658650 19619369865 21799299850 24608487975 29530185570 31826977781 32698949775 39238739730 49216975950 63653955562 65397899550 73825463925 95480933343 98096849325 147650927850 159134888905 190961866686 196193698650 286442800029 318269777810 477404666715 572885600058 795674444525 954809333430 1432214000145 1591348889050 2387023333575 2864428000290 4774046667150 7161070000725 14322140001450