Search a number
-
+
2131453534140 = 2232571691629789
BaseRepresentation
bin11111000001000100100…
…001111101111110111100
321112202122122212021120200
4133001010201331332330
5234410204101043030
64311102022243500
7306664256052210
oct37010441757674
97482578767520
102131453534140
11751a42a536a7
122a510b586590
13125cc260c578
147523d004940
153a69d75cd60
hex1f04487dfbc

2131453534140 has 72 divisors (see below), whose sum is σ = 7389038922720. Its totient is φ = 487189378944.

The previous prime is 2131453534123. The next prime is 2131453534151. The reversal of 2131453534140 is 414353541312.

2131453534140 is a `hidden beast` number, since 2 + 1 + 31 + 4 + 53 + 534 + 1 + 40 = 666.

It is a super-2 number, since 2×21314535341402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2131453534095 and 2131453534104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845813635 + ... + 845816154.

Almost surely, 22131453534140 is an apocalyptic number.

2131453534140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131453534140 is an abundant number, since it is smaller than the sum of its proper divisors (5257585388580).

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

2131453534140 is a wasteful number, since it uses less digits than its factorization.

2131453534140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691629811 (or 1691629806 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2131453534140 in words is "two trillion, one hundred thirty-one billion, four hundred fifty-three million, five hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1691629789 3383259578 5074889367 6766519156 8458148945 10149778734 11841408523 15224668101 16916297890 20299557468 23682817046 25374446835 30449336202 33832595780 35524225569 47365634092 50748893670 59207042615 60898672404 71048451138 76123340505 101497787340 106572676707 118414085230 142096902276 152246681010 177621127845 213145353414 236828170460 304493362020 355242255690 426290706828 532863383535 710484511380 1065726767070 2131453534140