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14424552681744 = 24329311132958169
BaseRepresentation
bin1101000111100111101001…
…0101101011000100010000
31220001222021212200210021110
43101321322111223010100
53342312440441303434
650402314212253320
73016065601533102
oct321717225530420
956058255623243
1014424552681744
114661466a3a1a7
12174b6a9611240
138082ca22a62a
1437c21b417572
151a03380aa4e9
hexd1e7a56b110

14424552681744 has 160 divisors (see below), whose sum is σ = 40144023475200. Its totient is φ = 4452871127040.

The previous prime is 14424552681727. The next prime is 14424552681751. The reversal of 14424552681744 is 44718625542441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3397092 + ... + 6355260.

It is an arithmetic number, because the mean of its divisors is an integer number (250900146720).

Almost surely, 214424552681744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14424552681744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20072011737600).

14424552681744 is an abundant number, since it is smaller than the sum of its proper divisors (25719470793456).

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

14424552681744 is a wasteful number, since it uses less digits than its factorization.

14424552681744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958353 (or 2958347 counting only the distinct ones).

The product of its digits is 34406400, while the sum is 57.

The spelling of 14424552681744 in words is "fourteen trillion, four hundred twenty-four billion, five hundred fifty-two million, six hundred eighty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 113 116 124 174 186 226 232 248 339 348 372 452 464 496 678 696 744 899 904 1356 1392 1488 1798 1808 2697 2712 3277 3503 3596 5394 5424 6554 7006 7192 9831 10509 10788 13108 14012 14384 19662 21018 21576 26216 28024 39324 42036 43152 52432 56048 78648 84072 101587 157296 168144 203174 304761 406348 609522 812696 1219044 1625392 2438088 2958169 4876176 5916338 8874507 11832676 17749014 23665352 35498028 47330704 70996056 85786901 91703239 141992112 171573802 183406478 257360703 275109717 334273097 343147604 366812956 514721406 550219434 668546194 686295208 733625912 1002819291 1029442812 1100438868 1337092388 1372590416 1467251824 2005638582 2058885624 2200877736 2659393931 2674184776 4011277164 4117771248 4401755472 5318787862 5348369552 7978181793 8022554328 9693919813 10362466007 10637575724 15956363586 16045108656 19387839626 20724932014 21275151448 29081759439 31087398021 31912727172 38775679252 41449864028 42550302896 58163518878 62174796042 63825454344 77551358504 82899728056 116327037756 124349592084 127650908688 155102717008 165799456112 232654075512 248699184168 300511514203 465308151024 497398368336 601023028406 901534542609 1202046056812 1803069085218 2404092113624 3606138170436 4808184227248 7212276340872 14424552681744