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313202342000444 = 2213292139209924547
BaseRepresentation
bin100011100110110110001101…
…0010101100111011100111100
31112001221211222201121202021012
41013031230122111213130330
5312023001344023003234
63030043100344054352
7122654060003046221
oct10715543225473474
91461854881552235
10313202342000444
1190883404988a76
122b1648667643b8
131059bb1466b780
14574b1079c1948
1526321a1d860ce
hex11cdb1a56773c

313202342000444 has 144 divisors (see below), whose sum is σ = 616038246096000. Its totient is φ = 138494514154752.

The previous prime is 313202342000399. The next prime is 313202342000489. The reversal of 313202342000444 is 444000243202313.

It is an interprime number because it is at equal distance from previous prime (313202342000399) and next prime (313202342000489).

It is a self number, because there is not a number n which added to its sum of digits gives 313202342000444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12759279779 + ... + 12759304325.

Almost surely, 2313202342000444 is an apocalyptic number.

It is an amenable number.

313202342000444 is a deficient number, since it is larger than the sum of its proper divisors (302835904095556).

313202342000444 is a wasteful number, since it uses less digits than its factorization.

313202342000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26860 (or 26829 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 313202342000444 its reverse (444000243202313), we get a palindrome (757202585202757).

The spelling of 313202342000444 in words is "three hundred thirteen trillion, two hundred two billion, three hundred forty-two million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 13 26 29 52 58 116 139 278 377 556 754 841 1508 1682 1807 2099 3364 3614 4031 4198 7228 8062 8396 10933 16124 21866 24547 27287 43732 49094 52403 54574 60871 98188 104806 109148 116899 121742 209612 233798 243484 291761 319111 467596 583522 638222 711863 791323 1167044 1276444 1423726 1519687 1582646 1765259 2847452 3039374 3165292 3412033 3530518 3792893 6078748 6824066 7061036 7585786 8461069 9254219 13648132 15171572 16922138 18508438 20644027 22948367 33844276 37016876 41288054 44356429 45896734 51524153 82576108 88712858 91793468 98948957 103048306 109993897 177425716 197897914 206096612 219987794 245371001 268372351 395795828 439975588 490742002 536744702 669813989 981484004 1073489404 1286336441 1339627978 1494200437 2572672882 2679255956 2869519753 2988400874 3189823013 5145345764 5739039506 5976801748 6379646026 7161857267 11478079012 12759292052 14323714534 19424605681 28647429068 37303756789 38849211362 43331812673 74607513578 77698422724 86663625346 93104144471 149215027156 173327250692 186208288942 207693860743 372416577884 415387721486 563313564749 830775442972 1126627129498 2253254258996 2700020189659 5400040379318 6023121961547 10800080758636 12046243923094 24092487846188 78300585500111 156601171000222 313202342000444