Search a number
-
+
1004114340312 = 233109811473287
BaseRepresentation
bin11101001110010011110…
…00001110100111011000
310112222210110021120100120
432213021320032213120
5112422411232342222
62045141143033240
7132354614032206
oct16471170164730
93488713246316
101004114340312
1135792a405746
1214272ba3b820
13738c27b2035
1436856a42076
151b1bca7515c
hexe9c9e0e9d8

1004114340312 has 64 divisors (see below), whose sum is σ = 2536445049600. Its totient is φ = 331224474240.

The previous prime is 1004114340263. The next prime is 1004114340329. The reversal of 1004114340312 is 2130434114001.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1884933 + ... + 2358219.

It is an arithmetic number, because the mean of its divisors is an integer number (39631953900).

Almost surely, 21004114340312 is an apocalyptic number.

1004114340312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004114340312 is an abundant number, since it is smaller than the sum of its proper divisors (1532330709288).

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

1004114340312 is a wasteful number, since it uses less digits than its factorization.

1004114340312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474216 (or 474212 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1004114340312 its reverse (2130434114001), we get a palindrome (3134548454313).

The spelling of 1004114340312 in words is "one trillion, four billion, one hundred fourteen million, three hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 436 654 811 872 1308 1622 2433 2616 3244 4866 6488 9732 19464 88399 176798 265197 353596 473287 530394 707192 946574 1060788 1419861 1893148 2121576 2839722 3786296 5679444 11358888 51588283 103176566 154764849 206353132 309529698 383835757 412706264 619059396 767671514 1151507271 1238118792 1535343028 2303014542 3070686056 4606029084 9212058168 41838097513 83676195026 125514292539 167352390052 251028585078 334704780104 502057170156 1004114340312