Search a number
-
+
450013230504530 = 257114166121564989
BaseRepresentation
bin110011001010010001101111…
…0101111111001101001010010
32012000100211210202221122111222
41212110203132233321221102
5432441004044002121110
64233033120224005042
7163534245235655120
oct14624433657715122
92160324722848458
10450013230504530
1112042a5a2887650
124257b6b4460782
13164140b101a524
147d1aa84060910
153705d24572c55
hex19948debf9a52

450013230504530 has 128 divisors (see below), whose sum is σ = 1036096672826880. Its totient is φ = 136635763968000.

The previous prime is 450013230504527. The next prime is 450013230504533. The reversal of 450013230504530 is 35405032310054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450013230504527) and next prime (450013230504533).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (450013230504533) 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, 10085276 + ... + 31650264.

It is an arithmetic number, because the mean of its divisors is an integer number (8094505256460).

Almost surely, 2450013230504530 is an apocalyptic number.

450013230504530 is an abundant number, since it is smaller than the sum of its proper divisors (586083442322350).

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

450013230504530 is a wasteful number, since it uses less digits than its factorization.

450013230504530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21565716.

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 450013230504530 its reverse (35405032310054), we get a palindrome (485418262814584).

The spelling of 450013230504530 in words is "four hundred fifty trillion, thirteen billion, two hundred thirty million, five hundred four thousand, five hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 41 55 70 77 82 110 154 205 287 385 410 451 574 661 770 902 1322 1435 2255 2870 3157 3305 4510 4627 6314 6610 7271 9254 14542 15785 23135 27101 31570 36355 46270 50897 54202 72710 101794 135505 189707 254485 271010 298111 379414 508970 596222 948535 1490555 1897070 2086777 2981110 4173554 10433885 20867770 21564989 43129978 107824945 150954923 215649890 237214879 301909846 474429758 754774615 884164549 1186074395 1509549230 1660504153 1768329098 2372148790 3321008306 4420822745 6189151843 8302520765 8841645490 9725810039 12378303686 14254457729 16605041530 19451620078 28508915458 30945759215 48629050195 61891518430 68080670273 71272288645 97258100390 99781204103 136161340546 142544577290 156799035019 199562408206 313598070038 340403351365 498906020515 584432766889 680806702730 783995175095 997812041030 1097593245133 1168865533778 1567990350190 2195186490266 2922163834445 4091029368223 5487966225665 5844327668890 6428760435779 8182058736446 10975932451330 12857520871558 20455146841115 32143802178895 40910293682230 45001323050453 64287604357790 90002646100906 225006615252265 450013230504530