Search a number
-
+
233640653230140 = 2235131951153531163
BaseRepresentation
bin110101000111111010110100…
…001001000001000000111100
31010122020211100211200012210020
4311013322310021001000330
5221110432024211331030
62144525011230212140
7100132660122616032
oct6507726411010074
91118224324605706
10233640653230140
1168499498827132
122225515a054050
13a04a2b0383090
14419a3a739a552
151c027e2446510
hexd47eb424103c

233640653230140 has 96 divisors (see below), whose sum is σ = 704877541165056. Its totient is φ = 57482067052800.

The previous prime is 233640653230133. The next prime is 233640653230141. The reversal of 233640653230140 is 41032356046332.

It is a junction number, because it is equal to n+sod(n) for n = 233640653230092 and 233640653230101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233640653230141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75243802 + ... + 78287361.

It is an arithmetic number, because the mean of its divisors is an integer number (7342474387136).

Almost surely, 2233640653230140 is an apocalyptic number.

233640653230140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233640653230140 is an abundant number, since it is smaller than the sum of its proper divisors (471236887934916).

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

233640653230140 is a wasteful number, since it uses less digits than its factorization.

233640653230140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153533139 (or 153533137 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 233640653230140 in words is "two hundred thirty-three trillion, six hundred forty billion, six hundred fifty-three million, two hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1951 3902 5853 7804 9755 11706 19510 23412 25363 29265 39020 50726 58530 76089 101452 117060 126815 152178 253630 304356 380445 507260 760890 1521780 153531163 307062326 460593489 614124652 767655815 921186978 1535311630 1842373956 1995905119 2302967445 3070623260 3991810238 4605934890 5987715357 7983620476 9211869780 9979525595 11975430714 19959051190 23950861428 29938576785 39918102380 59877153570 119754307140 299539299013 599078598026 898617897039 1198157196052 1497696495065 1797235794078 2995392990130 3594471588156 3894010887169 4493089485195 5990785980260 7788021774338 8986178970390 11682032661507 15576043548676 17972357940780 19470054435845 23364065323014 38940108871690 46728130646028 58410163307535 77880217743380 116820326615070 233640653230140