Search a number
-
+
1004023213314 = 2311373791084823
BaseRepresentation
bin11101001110001000111…
…00100110110100000010
310112222120002210211121120
432213010130212310002
5112422214420311224
62045124125533110
7132352426333632
oct16470434466402
93488502724546
101004023213314
11357892a24680
12142705414196
13738a9957134
14368488c06c2
151b1b4a74779
hexe9c4726d02

1004023213314 has 64 divisors (see below), whose sum is σ = 2255739632640. Its totient is φ = 295245155520.

The previous prime is 1004023213309. The next prime is 1004023213331. The reversal of 1004023213314 is 4133123204001.

It is a happy number.

It is a super-2 number, since 2×10040232133142 (a number of 25 digits) contains 22 as substring.

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, 383107 + ... + 1467929.

It is an arithmetic number, because the mean of its divisors is an integer number (35245931760).

Almost surely, 21004023213314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004023213314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127869816320).

1004023213314 is an abundant number, since it is smaller than the sum of its proper divisors (1251716419326).

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

1004023213314 is a wasteful number, since it uses less digits than its factorization.

1004023213314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085255.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1004023213314 its reverse (4133123204001), we get a palindrome (5137146417315).

The spelling of 1004023213314 in words is "one trillion, four billion, twenty-three million, two hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 379 407 758 814 1137 1221 2274 2442 4169 8338 12507 14023 25014 28046 42069 84138 154253 308506 462759 925518 1084823 2169646 3254469 6508938 11933053 23866106 35799159 40138451 71598318 80276902 120415353 240830706 411147917 441522961 822295834 883045922 1233443751 1324568883 2466887502 2649137766 4522627087 9045254174 13567881261 15212472929 27135762522 30424945858 45637418787 91274837574 167337202219 334674404438 502011606657 1004023213314