Search a number
-
+
330034333134242 = 211313715121864953
BaseRepresentation
bin100101100001010100001101…
…1001100001010110110100010
31121021112222022010111021102202
41023002220123030022312202
5321224240303240243432
63125531402441413202
7126342123304042502
oct11302503314126642
91537488263437382
10330034333134242
1196182858093490
1231022a4649a202
131122014785a0c9
145b6da658dba02
152824e3c88d462
hex12c2a1b30ada2

330034333134242 has 64 divisors (see below), whose sum is σ = 572582830169088. Its totient is φ = 141243201792000.

The previous prime is 330034333134217. The next prime is 330034333134251. The reversal of 330034333134242 is 242431333430033.

It is a super-2 number, since 2×3300343331342422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330034333134196 and 330034333134205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381130838 + ... + 381995790.

It is an arithmetic number, because the mean of its divisors is an integer number (8946606721392).

Almost surely, 2330034333134242 is an apocalyptic number.

330034333134242 is a deficient number, since it is larger than the sum of its proper divisors (242548497034846).

330034333134242 is a wasteful number, since it uses less digits than its factorization.

330034333134242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880155.

The product of its (nonzero) digits is 559872, while the sum is 38.

Adding to 330034333134242 its reverse (242431333430033), we get a palindrome (572465666564275).

The spelling of 330034333134242 in words is "three hundred thirty trillion, thirty-four billion, three hundred thirty-three million, one hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 11 22 31 37 62 74 341 407 682 814 1147 2294 12617 15121 25234 30242 166331 332662 468751 559477 864953 937502 1118954 1729906 5156261 6154247 9514483 10312522 12308494 17343787 19028966 26813543 32003261 34687574 53627086 64006522 190781657 294948973 352035871 381563314 589897946 704071742 992101091 1984202182 10913112001 13078954313 21826224002 26157908626 143868497443 287736994886 405447583703 483921309581 810895167406 967842619162 4459923420733 5323134405391 8919846841466 10646268810782 15001560597011 30003121194022 165017166567121 330034333134242