Search a number
-
+
133642224440 = 23517498739409
BaseRepresentation
bin111110001110110110…
…0101000001100111000
3110202221202102102021022
41330131230220030320
54142144402140230
6141221104402012
712440531110334
oct1743554501470
9422852372238
10133642224440
115174a60827a
1221a98616308
13c7aa649b1a
14667b0ca7c4
1537229b61e5
hex1f1db28338

133642224440 has 64 divisors (see below), whose sum is σ = 318454869600. Its totient is φ = 50301001728.

The previous prime is 133642224439. The next prime is 133642224449. The reversal of 133642224440 is 44422246331.

It is a self number, because there is not a number n which added to its sum of digits gives 133642224440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133642224449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3371456 + ... + 3410864.

Almost surely, 2133642224440 is an apocalyptic number.

133642224440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133642224440 is an abundant number, since it is smaller than the sum of its proper divisors (184812645160).

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

133642224440 is a wasteful number, since it uses less digits than its factorization.

133642224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44424 (or 44420 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

The spelling of 133642224440 in words is "one hundred thirty-three billion, six hundred forty-two million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 4987 9974 19948 24935 39409 39896 49870 78818 84779 99740 157636 169558 197045 199480 315272 339116 394090 423895 669953 678232 788180 847790 1339906 1576360 1695580 2679812 3349765 3391160 5359624 6699530 13399060 26798120 196532683 393065366 786130732 982663415 1572261464 1965326830 3341055611 3930653660 6682111222 7861307320 13364222444 16705278055 26728444888 33410556110 66821112220 133642224440