Search a number
-
+
1314440044404 = 22317232663105199
BaseRepresentation
bin10011001000001010101…
…110110101111101110100
311122122210120211201020120
4103020022232311331310
5133013433122410104
62443502335531540
7163652023013244
oct23101256657564
94578716751216
101314440044404
114674a6157293
121928b7389bb0
1396c49928706
144789528bb24
15242d19cbcd9
hex1320abb5f74

1314440044404 has 96 divisors (see below), whose sum is σ = 3389937868800. Its totient is φ = 394292203008.

The previous prime is 1314440044367. The next prime is 1314440044409. The reversal of 1314440044404 is 4044400444131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314440044409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12442197 + ... + 12547395.

It is an arithmetic number, because the mean of its divisors is an integer number (35311852800).

Almost surely, 21314440044404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314440044404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694968934400).

1314440044404 is an abundant number, since it is smaller than the sum of its proper divisors (2075497824396).

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

1314440044404 is a wasteful number, since it uses less digits than its factorization.

1314440044404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107909 (or 107907 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 1314440044404 its reverse (4044400444131), we get a palindrome (5358840488535).

The spelling of 1314440044404 in words is "one trillion, three hundred fourteen billion, four hundred forty million, forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 2663 4692 5326 7989 10652 15978 31956 45271 61249 90542 105199 122498 135813 181084 183747 210398 244996 271626 315597 367494 420796 543252 631194 734988 1041233 1262388 1788383 2082466 2419577 3123699 3576766 4164932 4839154 5365149 6247398 7153532 7258731 9678308 10730298 12494796 14517462 21460596 29034924 41132809 82265618 123398427 164531236 246796854 280144937 493593708 560289874 840434811 1120579748 1680869622 3361739244 4762463929 6443333551 9524927858 12886667102 14287391787 19049855716 19330000653 25773334204 28574783574 38660001306 57149567148 77320002612 109536670367 219073340734 328610011101 438146681468 657220022202 1314440044404