Search a number
-
+
135242030330304 = 26313271801294731
BaseRepresentation
bin11110110000000001111101…
…001011010011000111000000
3122201212000022121220002202120
4132300001331023103013000
5120211301134231032204
61155345155300244240
740325625405266022
oct3660017513230700
9581760277802676
10135242030330304
113a101906407157
121320298a3a0680
135a60365554641
142557a6bb06012
151097e500ca6d9
hex7b007d2d31c0

135242030330304 has 112 divisors (see below), whose sum is σ = 358297571943936. Its totient is φ = 45021540096000.

The previous prime is 135242030330293. The next prime is 135242030330417. The reversal of 135242030330304 is 403033030242531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458718619 + ... + 459013349.

Almost surely, 2135242030330304 is an apocalyptic number.

It is an amenable number.

135242030330304 is an abundant number, since it is smaller than the sum of its proper divisors (223055541613632).

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

135242030330304 is a wasteful number, since it uses less digits than its factorization.

135242030330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297874 (or 297864 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 135242030330304 its reverse (403033030242531), we get a palindrome (538275060572835).

The spelling of 135242030330304 in words is "one hundred thirty-five trillion, two hundred forty-two billion, thirty million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1327 1801 2654 3602 3981 5308 5403 7204 7962 10616 10806 14408 15924 21232 21612 28816 31848 42464 43224 57632 63696 84928 86448 115264 127392 172896 254784 294731 345792 589462 884193 1178924 1768386 2357848 2389927 3536772 4715696 4779854 7073544 7169781 9431392 9559708 14147088 14339562 18862784 19119416 28294176 28679124 38238832 56588352 57358248 76477664 114716496 152955328 229432992 391108037 458865984 530810531 782216074 1061621062 1173324111 1564432148 1592431593 2123242124 2346648222 3128864296 3184863186 4246484248 4693296444 6257728592 6369726372 8492968496 9386592888 12515457184 12739452744 16985936992 18773185776 25030914368 25478905488 33971873984 37546371552 50957810976 75092743104 101915621952 704385574637 1408771149274 2113156723911 2817542298548 4226313447822 5635084597096 8452626895644 11270169194192 16905253791288 22540338388384 33810507582576 45080676776768 67621015165152 135242030330304