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135024140403 = 33707172
BaseRepresentation
bin111110111000000010…
…0001110000001110011
3110220112001202000121000
41331300010032001303
54203012134443103
6142010151533043
712520011154005
oct1756004160163
9426461660530
10135024140403
1152299675189
122220338a183
13c96aa36289
14676c852375
1537a3e87aa3
hex1f7010e073

135024140403 has 12 divisors (see below), whose sum is σ = 200038592280. Its totient is φ = 90014820696.

The previous prime is 135024140387. The next prime is 135024140413. The reversal of 135024140403 is 304041420531.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

135024140403 is a `hidden beast` number, since 13 + 5 + 0 + 241 + 4 + 0 + 403 = 666.

It is not a de Polignac number, because 135024140403 - 24 = 135024140387 is a prime.

It is a super-3 number, since 3×1350241404033 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135024140413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1874001 + ... + 1944717.

It is an arithmetic number, because the mean of its divisors is an integer number (16669882690).

Almost surely, 2135024140403 is an apocalyptic number.

135024140403 is a deficient number, since it is larger than the sum of its proper divisors (65014451877).

135024140403 is an frugal number, since it uses more digits than its factorization.

135024140403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141443 (or 70720 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Multiplying 135024140403 by its sum of digits (27), we get a square (3645651790881 = 19093592).

135024140403 divided by its sum of digits (27) gives a square (5000894089 = 707172).

Adding to 135024140403 its reverse (304041420531), we get a palindrome (439065560934).

The spelling of 135024140403 in words is "one hundred thirty-five billion, twenty-four million, one hundred forty thousand, four hundred three".

Divisors: 1 3 9 27 70717 212151 636453 1909359 5000894089 15002682267 45008046801 135024140403