Search a number
-
+
3014343421300 = 22521754112012729
BaseRepresentation
bin101011110111010100110…
…111100110110101110100
3101200011112202221120111001
4223313110313212311310
5343341333403440200
610224434212453044
7430531145216641
oct53672467466564
911604482846431
103014343421300
11a62415306472
1240824961a184
1318b336330743
14a5c75c46dc8
1553623ab176a
hex2bdd4de6d74

3014343421300 has 144 divisors (see below), whose sum is σ = 6947021455920. Its totient is φ = 1131356160000.

The previous prime is 3014343421289. The next prime is 3014343421319. The reversal of 3014343421300 is 31243434103.

It can be written as a sum of positive squares in 24 ways, for example, as 1869383500516 + 1144959920784 = 1367254^2 + 1070028^2 .

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, 1104558336 + ... + 1104561064.

It is an arithmetic number, because the mean of its divisors is an integer number (48243204555).

Almost surely, 23014343421300 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 3014343421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473510727960).

3014343421300 is an abundant number, since it is smaller than the sum of its proper divisors (3932678034620).

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

3014343421300 is a wasteful number, since it uses less digits than its factorization.

3014343421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3014343421300 its reverse (31243434103), we get a palindrome (3045586855403).

The spelling of 3014343421300 in words is "three trillion, fourteen billion, three hundred forty-three million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 541 850 1082 1201 1700 2164 2402 2705 2729 4804 5410 5458 6005 9197 10820 10916 12010 13525 13645 18394 20417 24020 27050 27290 30025 36788 40834 45985 46393 54100 54580 60050 68225 81668 91970 92786 102085 120100 136450 183940 185572 204170 229925 231965 272900 408340 459850 463930 510425 649741 919700 927860 1020850 1159825 1299482 1476389 2041700 2319650 2598964 2952778 3248705 3277529 4639300 5905556 6497410 6555058 7381945 11045597 12994820 13110116 14763890 16243525 16387645 22091194 25098613 29527780 32487050 32775290 36909725 44182388 50197226 55227985 55717993 64974100 65550580 73819450 81938225 100394452 110455970 111435986 125493065 147638900 163876450 220911940 222871972 250986130 276139925 278589965 327752900 501972260 552279850 557179930 627465325 1104559700 1114359860 1254930650 1392949825 1773143189 2509861300 2785899650 3546286378 5571799300 7092572756 8865715945 17731431890 30143434213 35462863780 44328579725 60286868426 88657159450 120573736852 150717171065 177314318900 301434342130 602868684260 753585855325 1507171710650 3014343421300