Search a number
-
+
133025335421264 = 241113210941030659
BaseRepresentation
bin11110001111110001011111…
…110111010010100101010000
3122110000002122100100022111122
4132033301133313102211100
5114413441341331440024
61150530555003301412
740006522551404516
oct3617613767224520
9573002570308448
10133025335421264
1139427800977990
1212b0524b81a868
13592c309c6bb00
1424bc663bd24b6
15105a463168d5e
hex78fc5fdd2950

133025335421264 has 120 divisors (see below), whose sum is σ = 307252353117600. Its totient is φ = 55302762078720.

The previous prime is 133025335421191. The next prime is 133025335421267. The reversal of 133025335421264 is 462124533520331.

It is a super-3 number, since 3×1330253354212643 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133025335421267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17273234 + ... + 23757425.

It is an arithmetic number, because the mean of its divisors is an integer number (2560436275980).

Almost surely, 2133025335421264 is an apocalyptic number.

It is an amenable number.

133025335421264 is an abundant number, since it is smaller than the sum of its proper divisors (174227017696336).

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

133025335421264 is a wasteful number, since it uses less digits than its factorization.

133025335421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41030813 (or 41030794 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

Adding to 133025335421264 its reverse (462124533520331), we get a palindrome (595149868941595).

The spelling of 133025335421264 in words is "one hundred thirty-three trillion, twenty-five billion, three hundred thirty-five million, four hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 109 143 169 176 208 218 286 338 436 572 676 872 1144 1199 1352 1417 1744 1859 2288 2398 2704 2834 3718 4796 5668 7436 9592 11336 14872 15587 18421 19184 22672 29744 31174 36842 62348 73684 124696 147368 202631 249392 294736 405262 810524 1621048 3242096 41030659 82061318 164122636 328245272 451337249 533398567 656490544 902674498 1066797134 1805348996 2133594268 3610697992 4267188536 4472341831 5867384237 6934181371 7221395984 8534377072 8944683662 11734768474 13868362742 17889367324 23469536948 27736725484 35778734648 46939073896 49195760141 55473450968 58140443803 71557469296 76275995081 93878147792 98391520282 110946901936 116280887606 152551990162 196783040564 232561775212 305103980324 393566081128 465123550424 610207960648 639544881833 755825769439 787132162256 930247100848 1220415921296 1279089763666 1511651538878 2558179527332 3023303077756 5116359054664 6046606155512 8314083463829 10232718109328 12093212311024 16628166927658 33256333855316 66512667710632 133025335421264