Search a number
-
+
1403420131113 = 3711131924596809
BaseRepresentation
bin10100011011000010010…
…110111011111100101001
311222011110202120110100120
4110123002112323330221
5140443201023143423
62552420003553453
7203252026200540
oct24330226737451
94864422513316
101403420131113
114a1207093430
121a7baa68b889
13a245a35a9b0
144bcd6937157
152678d541ee3
hex146c25bbf29

1403420131113 has 64 divisors (see below), whose sum is σ = 2644649011200. Its totient is φ = 637549263360.

The previous prime is 1403420131111. The next prime is 1403420131159. The reversal of 1403420131113 is 3111310243041.

It is a happy number.

It is not a de Polignac number, because 1403420131113 - 21 = 1403420131111 is a prime.

It is a super-2 number, since 2×14034201311132 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1403420131111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12241348 + ... + 12355461.

It is an arithmetic number, because the mean of its divisors is an integer number (41322640800).

Almost surely, 21403420131113 is an apocalyptic number.

1403420131113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1403420131113 is a deficient number, since it is larger than the sum of its proper divisors (1241228880087).

1403420131113 is a wasteful number, since it uses less digits than its factorization.

1403420131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24596862.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1403420131113 its reverse (3111310243041), we get a palindrome (4514730374154).

The spelling of 1403420131113 in words is "one trillion, four hundred three billion, four hundred twenty million, one hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 133 143 209 231 247 273 399 429 627 741 1001 1463 1729 2717 3003 4389 5187 8151 19019 57057 24596809 73790427 172177663 270564899 319758517 467339371 516532989 811694697 959275551 1402018113 1893954293 2238309619 3271375597 3517343687 5140733081 5681862879 6075411823 6714928857 9814126791 10552031061 15422199243 18226235469 24621405809 35985131567 42527882761 66829530053 73864217427 107955394701 127583648283 200488590159 467806710371 1403420131113