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14416652544 = 28373677307
BaseRepresentation
bin11010110110100110…
…01010100100000000
31101012201110211102020
431123103022210000
5214011130340134
610342314521440
71020154344660
oct153323124400
941181424366
1014416652544
116128908488
122964136280
131489a31048
149aa9741a0
155959d5b49
hex35b4ca900

14416652544 has 144 divisors (see below), whose sum is σ = 43976153088. Its totient is φ = 4107257856.

The previous prime is 14416652533. The next prime is 14416652581. The reversal of 14416652544 is 44525661441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14416652496 and 14416652505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1969339 + ... + 1976645.

It is an arithmetic number, because the mean of its divisors is an integer number (305389952).

Almost surely, 214416652544 is an apocalyptic number.

14416652544 is a gapful number since it is divisible by the number (14) 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 14416652544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21988076544).

14416652544 is an abundant number, since it is smaller than the sum of its proper divisors (29559500544).

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

14416652544 is an equidigital number, since it uses as much as digits as its factorization.

14416652544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7686 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 14416652544 in words is "fourteen billion, four hundred sixteen million, six hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 367 384 448 672 734 768 896 1101 1344 1468 1792 2202 2569 2688 2936 4404 5138 5376 5872 7307 7707 8808 10276 11744 14614 15414 17616 20552 21921 23488 29228 30828 35232 41104 43842 46976 51149 58456 61656 70464 82208 87684 93952 102298 116912 123312 140928 153447 164416 175368 204596 233824 246624 281856 306894 328832 350736 409192 467648 493248 613788 657664 701472 818384 935296 986496 1227576 1402944 1636768 1870592 1972992 2455152 2681669 2805888 3273536 4910304 5363338 5611776 6547072 8045007 9820608 10726676 13094144 16090014 18771683 19641216 21453352 32180028 37543366 39282432 42906704 56315049 64360056 75086732 85813408 112630098 128720112 150173464 171626816 225260196 257440224 300346928 343253632 450520392 514880448 600693856 686507264 901040784 1029760896 1201387712 1802081568 2059521792 2402775424 3604163136 4805550848 7208326272 14416652544