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14116661460 = 223251119736191
BaseRepresentation
bin11010010010110101…
…10010100011010100
31100102210222201000100
431021122302203110
5212402331131320
610252441014100
71006552433256
oct151132624324
940383881010
1014116661460
115a9453a770
12289b784330
13143c837325
1497cba3cd6
155794c9790
hex3496b28d4

14116661460 has 144 divisors (see below), whose sum is σ = 46951736832. Its totient is φ = 3404755200.

The previous prime is 14116661417. The next prime is 14116661473. The reversal of 14116661460 is 6416661141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371965 + ... + 408155.

It is an arithmetic number, because the mean of its divisors is an integer number (326053728).

Almost surely, 214116661460 is an apocalyptic number.

14116661460 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 14116661460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23475868416).

14116661460 is an abundant number, since it is smaller than the sum of its proper divisors (32835075372).

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

14116661460 is a wasteful number, since it uses less digits than its factorization.

14116661460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36414 (or 36409 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 14116 and 661460, that added together give a palindrome (675576).

The spelling of 14116661460 in words is "fourteen billion, one hundred sixteen million, six hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 197 198 220 330 394 396 495 591 660 788 985 990 1182 1773 1970 1980 2167 2364 2955 3546 3940 4334 5910 6501 7092 8668 8865 10835 11820 13002 17730 19503 21670 26004 32505 35460 36191 39006 43340 65010 72382 78012 97515 108573 130020 144764 180955 195030 217146 325719 361910 390060 398101 434292 542865 651438 723820 796202 1085730 1194303 1302876 1592404 1628595 1990505 2171460 2388606 3257190 3582909 3981010 4777212 5971515 6514380 7129627 7165818 7962020 11943030 14259254 14331636 17914545 21388881 23886060 28518508 35648135 35829090 42777762 64166643 71296270 71658180 78425897 85555524 106944405 128333286 142592540 156851794 213888810 235277691 256666572 313703588 320833215 392129485 427777620 470555382 641666430 705833073 784258970 941110764 1176388455 1283332860 1411666146 1568517940 2352776910 2823332292 3529165365 4705553820 7058330730 14116661460