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14098012391824 = 245328921992
BaseRepresentation
bin1100110100100111001100…
…0001010100100110010000
31211220202102201112100011121
43031021303001110212100
53321440212133014244
645552312032452024
72653355614055044
oct315116301244620
954822381470147
1014098012391824
114545a2a5082a9
1216b83579aa014
137b358aa3777a
1436a4c153c024
15196ac58c1c84
hexcd273054990

14098012391824 has 135 divisors (see below), whose sum is σ = 28298522263683. Its totient is φ = 6803934838272.

The previous prime is 14098012391791. The next prime is 14098012391839. The reversal of 14098012391824 is 42819321089041.

The square root of 14098012391824 is 3754732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 149042323600 + 13948970068224 = 386060^2 + 3734832^2 .

It is a super-2 number, since 2×140980123918242 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70844283277 + ... + 70844283475.

Almost surely, 214098012391824 is an apocalyptic number.

14098012391824 is the 3754732-nd square number.

It is an amenable number.

14098012391824 is an abundant number, since it is smaller than the sum of its proper divisors (14200509871859).

14098012391824 is an frugal number, since it uses more digits than its factorization.

14098012391824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 14098012391824 in words is "fourteen trillion, ninety-eight billion, twelve million, three hundred ninety-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 53 89 106 178 199 212 356 398 424 712 796 848 1424 1592 2809 3184 4717 5618 7921 9434 10547 11236 15842 17711 18868 21094 22472 31684 35422 37736 39601 42188 44944 63368 70844 75472 79202 84376 126736 141688 158404 168752 250001 283376 316808 419813 500002 558991 633616 839626 938683 1000004 1117982 1576279 1679252 1877366 2000008 2098853 2235964 3152558 3358504 3524489 3754732 4000016 4197706 4471928 6305116 6717008 7048978 7509464 8395412 8943856 12610232 14097956 15018928 16790824 22250089 25220464 28195912 33581648 44500178 49750199 56391824 83542787 89000356 99500398 111239209 167085574 178000712 186797917 199000796 222478418 313679521 334171148 356001424 373595834 398001592 444956836 627359042 668342296 747191668 796003184 889913672 1254718084 1336684592 1494383336 1779827344 2509436168 2988766672 4427767711 5018872336 8855535422 9900289601 16625014613 17711070844 19800579202 33250029226 35422141688 39601158404 66500058452 70844283376 79202316808 133000116904 158404633616 266000233808 881125774489 1762251548978 3524503097956 7049006195912 14098012391824