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14214451140 = 223251011037591
BaseRepresentation
bin11010011110011111…
…10100111111000100
31100200121222221020100
431033033310333010
5213102344414030
610310253004100
71012150561341
oct151717647704
940617887210
1014214451140
11603476158a
122908483630
131456b85a46
1498bb7b7c8
15582d94360
hex34f3f4fc4

14214451140 has 144 divisors (see below), whose sum is σ = 43972621056. Its totient is φ = 3716064000.

The previous prime is 14214451073. The next prime is 14214451169. The reversal of 14214451140 is 4115441241.

It is a happy number.

14214451140 is a `hidden beast` number, since 1 + 4 + 2 + 144 + 511 + 4 + 0 = 666.

It is a super-2 number, since 2×142144511402 (a number of 21 digits) contains 22 as substring.

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, 1868745 + ... + 1876335.

It is an arithmetic number, because the mean of its divisors is an integer number (305365424).

Almost surely, 214214451140 is an apocalyptic number.

14214451140 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 14214451140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986310528).

14214451140 is an abundant number, since it is smaller than the sum of its proper divisors (29758169916).

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

14214451140 is a wasteful number, since it uses less digits than its factorization.

14214451140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 14214451140 its reverse (4115441241), we get a palindrome (18329892381).

The spelling of 14214451140 in words is "fourteen billion, two hundred fourteen million, four hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 103 180 202 206 303 309 404 412 505 515 606 618 909 927 1010 1030 1212 1236 1515 1545 1818 1854 2020 2060 3030 3090 3636 3708 4545 4635 6060 6180 7591 9090 9270 10403 15182 18180 18540 20806 22773 30364 31209 37955 41612 45546 52015 62418 68319 75910 91092 93627 104030 113865 124836 136638 151820 156045 187254 208060 227730 273276 312090 341595 374508 455460 468135 624180 683190 766691 781873 936270 1366380 1533382 1563746 1872540 2300073 2345619 3066764 3127492 3833455 3909365 4600146 4691238 6900219 7036857 7666910 7818730 9200292 9382476 11500365 11728095 13800438 14073714 15333820 15637460 23000730 23456190 27600876 28147428 34501095 35184285 46001460 46912380 69002190 70368570 78969173 138004380 140737140 157938346 236907519 315876692 394845865 473815038 710722557 789691730 947630076 1184537595 1421445114 1579383460 2369075190 2842890228 3553612785 4738150380 7107225570 14214451140