Search a number
-
+
45442510412145 = 35711379710962431
BaseRepresentation
bin10100101010100011010001…
…01100001101100101110001
312221220021001200110012021120
422111101220230031211301
521424012230131142040
6240352000122412453
712400053525203430
oct1225215054154561
9187807050405246
1045442510412145
1113530073497850
12511b090961129
131c48297186092
14b31601b93117
1553c0e5e047d0
hex295468b0d971

45442510412145 has 128 divisors (see below), whose sum is σ = 94058718953472. Its totient is φ = 18185355878400.

The previous prime is 45442510412083. The next prime is 45442510412153. The reversal of 45442510412145 is 54121401524454.

It is not a de Polignac number, because 45442510412145 - 212 = 45442510408049 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45442510412097 and 45442510412106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1335921 + ... + 9626510.

It is an arithmetic number, because the mean of its divisors is an integer number (734833741824).

Almost surely, 245442510412145 is an apocalyptic number.

It is an amenable number.

45442510412145 is an abundant number, since it is smaller than the sum of its proper divisors (48616208541327).

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

45442510412145 is a wasteful number, since it uses less digits than its factorization.

45442510412145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10962591.

The product of its (nonzero) digits is 512000, while the sum is 42.

Adding to 45442510412145 its reverse (54121401524454), we get a palindrome (99563911936599).

The spelling of 45442510412145 in words is "forty-five trillion, four hundred forty-two billion, five hundred ten million, four hundred twelve thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 37 55 77 97 105 111 165 185 231 259 291 385 407 485 555 679 777 1067 1155 1221 1295 1455 2035 2037 2849 3201 3395 3589 3885 5335 6105 7469 8547 10185 10767 14245 16005 17945 22407 25123 37345 39479 42735 53835 75369 112035 118437 125615 197395 276353 376845 592185 829059 1381765 4145295 10962431 32887293 54812155 76737017 120586741 164436465 230211051 361760223 383685085 405609947 602933705 844107187 1063355807 1151055255 1216829841 1808801115 2028049735 2532321561 2839269629 3190067421 4220535935 4461709417 5316779035 6084149205 7443490649 8517808887 11696913877 12661607805 13385128251 14196348145 15950337105 22308547085 22330471947 31231965919 35090741631 37217453245 39344164859 42589044435 58484569385 66925641255 81878397139 93695897757 111652359735 118032494577 156159829595 175453708155 196720824295 245635191417 275409154013 409391985695 432785813449 468479488785 590162472885 826227462039 1228175957085 1298357440347 1377045770065 2163929067245 3029500694143 4131137310195 6491787201735 9088502082429 15147503470715 45442510412145