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14144004520000 = 2654418624393
BaseRepresentation
bin1100110111010010100001…
…0111010111100001000000
31212002011010222211112020021
43031310220113113201000
53323213410124120000
650025355503423224
72656604421520225
oct315645027274100
955064128745207
1014144004520000
1145634908aa993
1217052525b4b14
137b7a0a35aab4
1436c80586994c
15197db848911a
hexcdd285d7840

14144004520000 has 140 divisors (see below), whose sum is σ = 35927966242476. Its totient is φ = 5519610880000.

The previous prime is 14144004519979. The next prime is 14144004520057. The reversal of 14144004520000 is 2540044141.

It can be written as a sum of positive squares in 10 ways, for example, as 10129655674944 + 4014348845056 = 3182712^2 + 2003584^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2672197 + ... + 5952196.

Almost surely, 214144004520000 is an apocalyptic number.

14144004520000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144004520000 is an abundant number, since it is smaller than the sum of its proper divisors (21783961722476).

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

14144004520000 is an frugal number, since it uses more digits than its factorization.

14144004520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624466 (or 8624441 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 14144004520000 its reverse (2540044141), we get a palindrome (14146544564141).

The spelling of 14144004520000 in words is "fourteen trillion, one hundred forty-four billion, four million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 160 164 200 205 250 320 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1600 1640 2000 2050 2500 2624 3280 4000 4100 5000 5125 6560 8000 8200 10000 10250 13120 16400 20000 20500 25625 32800 40000 41000 51250 65600 82000 102500 164000 205000 328000 410000 820000 1640000 8624393 17248786 34497572 43121965 68995144 86243930 137990288 172487860 215609825 275980576 344975720 353600113 431219650 551961152 689951440 707200226 862439300 1078049125 1379902880 1414400452 1724878600 1768000565 2156098250 2759805760 2828800904 3449757200 3536001130 4312196500 5390245625 5657601808 6899514400 7072002260 8624393000 8840002825 10780491250 11315203616 13799028800 14144004520 17248786000 17680005650 21560982500 22630407232 28288009040 34497572000 35360011300 43121965000 44200014125 56576018080 68995144000 70720022600 86243930000 88400028250 113152036160 141440045200 172487860000 176800056500 221000070625 282880090400 344975720000 353600113000 442000141250 565760180800 707200226000 884000282500 1414400452000 1768000565000 2828800904000 3536001130000 7072002260000 14144004520000