Search a number
-
+
133443431544 = 233233120893733
BaseRepresentation
bin111110001000111011…
…0010010110001111000
3110202102220100200200110
41330101312102301320
54141243004302134
6141145243504320
712432565311243
oct1742166226170
9422386320613
10133443431544
115165837a225
1221a41b280a0
13c7783c60a7
14665c94025a
1537102e97e9
hex1f11d92c78

133443431544 has 128 divisors (see below), whose sum is σ = 359611084800. Its totient is φ = 41143956480.

The previous prime is 133443431533. The next prime is 133443431581. The reversal of 133443431544 is 445134344331.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35745102 + ... + 35748834.

It is an arithmetic number, because the mean of its divisors is an integer number (2809461600).

Almost surely, 2133443431544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133443431544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179805542400).

133443431544 is an abundant number, since it is smaller than the sum of its proper divisors (226167653256).

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

133443431544 is a wasteful number, since it uses less digits than its factorization.

133443431544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885 (or 5881 counting only the distinct ones).

The product of its digits is 414720, while the sum is 39.

Adding to 133443431544 its reverse (445134344331), we get a palindrome (578577775875).

The spelling of 133443431544 in words is "one hundred thirty-three billion, four hundred forty-three million, four hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2089 2139 2852 3733 4178 4278 5704 6267 7466 8356 8556 11199 12534 14932 16712 17112 22398 25068 29864 44796 48047 50136 64759 85859 89592 96094 115723 129518 144141 171718 192188 194277 231446 257577 259036 288282 343436 347169 384376 388554 462892 515154 518072 576564 686872 694338 777108 925784 1030308 1153128 1388676 1489457 1554216 2060616 2661629 2777352 2978914 4468371 5323258 5957828 7798237 7984887 8936742 10646516 11915656 15596474 15969774 17873484 21293032 23394711 31192948 31939548 35746968 46789422 62385896 63879096 93578844 179359451 187157688 241745347 358718902 483490694 538078353 717437804 725236041 966981388 1076156706 1434875608 1450472082 1933962776 2152313412 2900944164 4304626824 5560142981 5801888328 11120285962 16680428943 22240571924 33360857886 44481143848 66721715772 133443431544