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32320012140 = 223251326352517
BaseRepresentation
bin11110000110011011…
…000011111101101100
310002102102210201201200
4132012123003331230
51012142410342030
622503030005500
72222630366433
oct360633037554
9102372721650
1032320012140
1112785893539
12631baa6890
133080c26050
1417c860611a
15c9264ed60
hex7866c3f6c

32320012140 has 144 divisors (see below), whose sum is σ = 105982164288. Its totient is φ = 7925294592.

The previous prime is 32320012063. The next prime is 32320012159. The reversal of 32320012140 is 4121002323.

32320012140 is a `hidden beast` number, since 323 + 200 + 1 + 2 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 589162 + ... + 641678.

It is an arithmetic number, because the mean of its divisors is an integer number (735987252).

Almost surely, 232320012140 is an apocalyptic number.

32320012140 is a gapful number since it is divisible by the number (30) 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 32320012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52991082144).

32320012140 is an abundant number, since it is smaller than the sum of its proper divisors (73662152148).

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

32320012140 is a wasteful number, since it uses less digits than its factorization.

32320012140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52808 (or 52803 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32320012140 its reverse (4121002323), we get a palindrome (36441014463).

The spelling of 32320012140 in words is "thirty-two billion, three hundred twenty million, twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 263 390 468 526 585 780 789 1052 1170 1315 1578 2340 2367 2630 3156 3419 3945 4734 5260 6838 7890 9468 10257 11835 13676 15780 17095 20514 23670 30771 34190 41028 47340 51285 52517 61542 68380 102570 105034 123084 153855 157551 205140 210068 262585 307710 315102 472653 525170 615420 630204 682721 787755 945306 1050340 1365442 1575510 1890612 2048163 2363265 2730884 3151020 3413605 4096326 4726530 6144489 6827210 8192652 9453060 10240815 12288978 13654420 13811971 20481630 24577956 27623942 30722445 40963260 41435913 55247884 61444890 69059855 82871826 122889780 124307739 138119710 165743652 179555623 207179565 248615478 276239420 359111246 414359130 497230956 538666869 621538695 718222492 828718260 897778115 1077333738 1243077390 1616000607 1795556230 2154667476 2486154780 2693334345 3232001214 3591112460 5386668690 6464002428 8080003035 10773337380 16160006070 32320012140