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32141134320030 = 232523105557147097
BaseRepresentation
bin1110100111011011100001…
…11001001101000110011110
311012210122212220122220202100
413103231300321031012132
513203100020341220110
6152205233330305530
76525056162000121
oct723556071150636
9135718786586670
1032141134320030
11a271a8445144a
123731200a282a6
1314c1b85571698
147d18d3d7c3b8
153ab0e838cbc0
hex1d3b70e4d19e

32141134320030 has 96 divisors (see below), whose sum is σ = 87201713761344. Its totient is φ = 8198184918528.

The previous prime is 32141134319981. The next prime is 32141134320059. The reversal of 32141134320030 is 3002343114123.

It is a happy number.

32141134320030 is a `hidden beast` number, since 3 + 2 + 1 + 411 + 3 + 43 + 200 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32141134319976 and 32141134320003.

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, 218429442 + ... + 218576538.

It is an arithmetic number, because the mean of its divisors is an integer number (908351185014).

Almost surely, 232141134320030 is an apocalyptic number.

32141134320030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32141134320030 is an abundant number, since it is smaller than the sum of its proper divisors (55060579441314).

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

32141134320030 is a wasteful number, since it uses less digits than its factorization.

32141134320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252690 (or 252687 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 32141134320030 its reverse (3002343114123), we get a palindrome (35143477434153).

The spelling of 32141134320030 in words is "thirty-two trillion, one hundred forty-one billion, one hundred thirty-four million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 105557 147097 211114 294194 316671 441291 527785 633342 735485 882582 950013 1055570 1323873 1470970 1583355 1900026 2206455 2427811 2647746 3166710 3383231 4412910 4750065 4855622 6619365 6766462 7283433 9500130 10149693 12139055 13238730 14566866 16916155 20299386 21850299 24278110 30449079 33832310 36417165 43700598 50748465 60898158 72834330 101496930 109251495 152245395 218502990 304490790 15527118029 31054236058 46581354087 77635590145 93162708174 139744062261 155271180290 232906770435 279488124522 357123714667 465813540870 698720311305 714247429334 1071371144001 1397440622610 1785618573335 2142742288002 3214113432003 3571237146670 5356855720005 6428226864006 10713711440010 16070567160015 32141134320030