Search a number
-
+
14123551140 = 22325971018009
BaseRepresentation
bin11010010011101010…
…00100100110100100
31100110021221201212200
431021311010212210
5212411112114030
610253244414500
71006665126636
oct151165044644
940407851780
1014123551140
115a98416016
1228a1b47430
1314410aa26a
1497da78a56
15579ddad60
hex349d449a4

14123551140 has 144 divisors (see below), whose sum is σ = 43717106160. Its totient is φ = 3690086400.

The previous prime is 14123551121. The next prime is 14123551151. The reversal of 14123551140 is 4115532141.

14123551140 is a `hidden beast` number, since 141 + 2 + 3 + 5 + 511 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1012385124 + 13111166016 = 31818^2 + 114504^2 .

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, 1759456 + ... + 1767464.

It is an arithmetic number, because the mean of its divisors is an integer number (303591015).

Almost surely, 214123551140 is an apocalyptic number.

14123551140 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 14123551140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21858553080).

14123551140 is an abundant number, since it is smaller than the sum of its proper divisors (29593555020).

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

14123551140 is a wasteful number, since it uses less digits than its factorization.

14123551140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 8217 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 14123551140 in words is "fourteen billion, one hundred twenty-three million, five 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 97 101 180 194 202 291 303 388 404 485 505 582 606 873 909 970 1010 1164 1212 1455 1515 1746 1818 1940 2020 2910 3030 3492 3636 4365 4545 5820 6060 8009 8730 9090 9797 16018 17460 18180 19594 24027 29391 32036 39188 40045 48054 48985 58782 72081 80090 88173 96108 97970 117564 120135 144162 146955 160180 176346 195940 240270 288324 293910 352692 360405 440865 480540 587820 720810 776873 808909 881730 1441620 1553746 1617818 1763460 2330619 2426727 3107492 3235636 3884365 4044545 4661238 4853454 6991857 7280181 7768730 8089090 9322476 9706908 11653095 12133635 13983714 14560362 15537460 16178180 23306190 24267270 27967428 29120724 34959285 36400905 46612380 48534540 69918570 72801810 78464173 139837140 145603620 156928346 235392519 313856692 392320865 470785038 706177557 784641730 941570076 1176962595 1412355114 1569283460 2353925190 2824710228 3530887785 4707850380 7061775570 14123551140