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14460227116660 = 22513412695042729
BaseRepresentation
bin1101001001101100100010…
…1100110101111001110100
31220012101101002102211222201
43102123020230311321310
53343404021120213120
650430534151234244
73021500623323013
oct322331054657164
956171332384881
1014460227116660
114675603259166
1217565a4978984
1380b7940ac210
1437dc43324a7a
151a1224e5d40a
hexd26c8b35e74

14460227116660 has 96 divisors (see below), whose sum is σ = 33624520221600. Its totient is φ = 5189572239360.

The previous prime is 14460227116651. The next prime is 14460227116721. The reversal of 14460227116660 is 6661172206441.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7938261170064 + 6521965946596 = 2817492^2 + 2553814^2 .

It is a super-3 number, since 3×144602271166603 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14460227116660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346176 + ... + 5388904.

It is an arithmetic number, because the mean of its divisors is an integer number (350255418975).

Almost surely, 214460227116660 is an apocalyptic number.

14460227116660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14460227116660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812260110800).

14460227116660 is an abundant number, since it is smaller than the sum of its proper divisors (19164293104940).

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

14460227116660 is a wasteful number, since it uses less digits than its factorization.

14460227116660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043061 (or 5043059 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 14460227116660 in words is "fourteen trillion, four hundred sixty billion, two hundred twenty-seven million, one hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 269 410 533 538 820 1066 1076 1345 2132 2665 2690 3497 5330 5380 6994 10660 11029 13988 17485 22058 34970 44116 55145 69940 110290 143377 220580 286754 573508 716885 1433770 2867540 5042729 10085458 20170916 25213645 50427290 65555477 100854580 131110954 206751889 262221908 327777385 413503778 655554770 827007556 1033759445 1311109540 1356494101 2067518890 2687774557 2712988202 4135037780 5375549114 5425976404 6782470505 10751098228 13438872785 13564941010 17634423313 26877745570 27129882020 35268846626 53755491140 55616258141 70537693252 88172116565 111232516282 176344233130 222465032564 278081290705 352688466260 556162581410 723011355833 1112325162820 1446022711666 2892045423332 3615056779165 7230113558330 14460227116660