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14714905708048 = 24713113157569663
BaseRepresentation
bin1101011000100001010010…
…1110100100011000010000
31221002201202002010202221111
43112020110232210120100
53412042111330124143
651143533453303104
73046055036533630
oct326102456443020
957081662122844
1014714905708048
114763613723367
121797a20194a94
138297c0544580
1438c2c32506c0
151a7b7d89199d
hexd6214ba4610

14714905708048 has 160 divisors (see below), whose sum is σ = 35625455824896. Its totient is φ = 5733005451264.

The previous prime is 14714905708039. The next prime is 14714905708051. The reversal of 14714905708048 is 84080750941741.

It is a super-2 number, since 2×147149057080482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14714905707983 and 14714905708001.

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 31 ways as a sum of consecutive naturals, for example, 25546065 + ... + 26115727.

Almost surely, 214714905708048 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 14714905708048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17812727912448).

14714905708048 is an abundant number, since it is smaller than the sum of its proper divisors (20910550116848).

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

14714905708048 is a wasteful number, since it uses less digits than its factorization.

14714905708048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569961 (or 569955 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 58.

The spelling of 14714905708048 in words is "fourteen trillion, seven hundred fourteen billion, nine hundred five million, seven hundred eight thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 113 157 182 208 226 314 364 452 628 728 791 904 1099 1256 1456 1469 1582 1808 2041 2198 2512 2938 3164 4082 4396 5876 6328 8164 8792 10283 11752 12656 14287 16328 17584 17741 20566 23504 28574 32656 35482 41132 57148 70964 82264 114296 124187 141928 164528 228592 230633 248374 283856 461266 496748 569663 922532 993496 1139326 1614431 1845064 1986992 2278652 3228862 3690128 3987641 4557304 6457724 7405619 7975282 9114608 12915448 14811238 15950564 25830896 29622476 31901128 51839333 59244952 63802256 64371919 89437091 103678666 118489904 128743838 178874182 207357332 257487676 357748364 414714664 450603433 514975352 626059637 715496728 829429328 836834947 901206866 1029950704 1162682183 1252119274 1430993456 1673669894 1802413732 2325364366 2504238548 3347339788 3604827464 4650728732 5008477096 5857844629 6694679576 7209654928 8138775281 9301457464 10016954192 10106391283 11715689258 13389359152 16277550562 18602914928 20212782566 23431378516 32555101124 40425565132 46862757032 65110202248 70744738981 80851130264 93725514064 130220404496 131383086679 141489477962 161702260528 262766173358 282978955924 525532346716 565957911848 919681606753 1051064693432 1131915823696 1839363213506 2102129386864 3678726427012 7357452854024 14714905708048