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14004445140 = 22325719584981
BaseRepresentation
bin11010000101011101…
…01101111111010100
31100010222211112011100
431002232231333110
5212140114221030
610233351510100
71004020551060
oct150256557724
940128745140
1014004445140
115a37164a04
12286a088330
13142250723a
1496bd12aa0
1556e710360
hex342badfd4

14004445140 has 144 divisors (see below), whose sum is σ = 51104027520. Its totient is φ = 3032536320.

The previous prime is 14004445139. The next prime is 14004445141. The reversal of 14004445140 is 4154440041.

14004445140 is a `hidden beast` number, since 140 + 0 + 4 + 4 + 4 + 514 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14004445139) and next prime (14004445141).

It is a super-2 number, since 2×140044451402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004445141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268551 + ... + 316430.

It is an arithmetic number, because the mean of its divisors is an integer number (354889080).

Almost surely, 214004445140 is an apocalyptic number.

14004445140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004445140 is an abundant number, since it is smaller than the sum of its proper divisors (37099582380).

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

14004445140 is a wasteful number, since it uses less digits than its factorization.

14004445140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585022 (or 585017 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14004445140 its reverse (4154440041), we get a palindrome (18158885181).

The spelling of 14004445140 in words is "fourteen billion, four million, four hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 584981 1169962 1754943 2339924 2924905 3509886 4094867 5264829 5849810 7019772 8189734 8774715 10529658 11114639 11699620 12284601 16379468 17549430 20474335 21059316 22229278 24569202 26324145 33343917 35098860 36853803 40948670 44458556 49138404 52648290 55573195 61423005 66687834 73707606 77802473 81897340 100031751 105296580 111146390 122846010 133375668 147415212 155604946 166719585 184269015 200063502 222292780 233407419 245692020 311209892 333439170 368538030 389012365 400127004 466814838 500158755 666878340 700222257 737076060 778024730 933629676 1000317510 1167037095 1400444514 1556049460 2000635020 2334074190 2800889028 3501111285 4668148380 7002222570 14004445140