Search a number
-
+
344030424141000 = 23353176745694591
BaseRepresentation
bin100111000111001001101001…
…1001110010000110011001000
31200010002222122202221210112210
41032032103103032100303020
5330043043302040003000
63215405221153305120
7132315243423504402
oct11616232316206310
91603088582853483
10344030424141000
119a689535633643
1232703498b651a0
13119c6c119a48ac
1460d5238b45b72
1529b904a4e1350
hex138e4d3390cc8

344030424141000 has 128 divisors (see below), whose sum is σ = 1136514624860160. Its totient is φ = 86344890752000.

The previous prime is 344030424140971. The next prime is 344030424141011. The reversal of 344030424141000 is 141424030443.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3372796296 + ... + 3372898295.

It is an arithmetic number, because the mean of its divisors is an integer number (8879020506720).

Almost surely, 2344030424141000 is an apocalyptic number.

344030424141000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344030424141000 is an abundant number, since it is smaller than the sum of its proper divisors (792484200719160).

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

344030424141000 is a wasteful number, since it uses less digits than its factorization.

344030424141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6745694632 (or 6745694618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 344030424141000 its reverse (141424030443), we get a palindrome (344171848171443).

The spelling of 344030424141000 in words is "three hundred forty-four trillion, thirty billion, four hundred twenty-four million, one hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 6745694591 13491389182 20237083773 26982778364 33728472955 40474167546 53965556728 67456945910 80948335092 101185418865 114676808047 134913891820 161896670184 168642364775 202370837730 229353616094 269827783640 337284729550 344030424141 404741675460 458707232188 505927094325 573384040235 674569459100 688060848282 809483350920 843211823875 917414464376 1011854188650 1146768080470 1349138918200 1376121696564 1686423647750 1720152120705 2023708377300 2293536160940 2529635471625 2752243393128 2866920201175 3372847295500 3440304241410 4047416754600 4587072321880 5059270943250 5733840402350 6745694591000 6880608482820 8600760603525 10118541886500 11467680804700 13761216965640 14334601005875 17201521207050 20237083773000 22935361609400 28669202011750 34403042414100 43003803017625 57338404023500 68806084828200 86007606035250 114676808047000 172015212070500 344030424141000