Search a number
-
+
2062412365140 = 2232517739232753
BaseRepresentation
bin11110000000110001010…
…110110011110101010100
321022011110001201111120100
4132000301112303311110
5232242310031141030
64215243102334100
7302001333566211
oct36006126636524
97264401644510
102062412365140
11725734016546
1229386188a330
1311c63ba1944a
1471b6d8a0b08
15389ac3ea360
hex1e0315b3d54

2062412365140 has 144 divisors (see below), whose sum is σ = 6714723467088. Its totient is φ = 510534254592.

The previous prime is 2062412365099. The next prime is 2062412365141. The reversal of 2062412365140 is 415632142602.

2062412365140 is a `hidden beast` number, since 2 + 0 + 624 + 1 + 23 + 6 + 5 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1734889104 + 2060677476036 = 41652^2 + 1435506^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2062412365095 and 2062412365104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2062412365141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4392997 + ... + 4839756.

It is an arithmetic number, because the mean of its divisors is an integer number (46630024077).

Almost surely, 22062412365140 is an apocalyptic number.

2062412365140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2062412365140 is an abundant number, since it is smaller than the sum of its proper divisors (4652311101948).

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

2062412365140 is a wasteful number, since it uses less digits than its factorization.

2062412365140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232858 (or 9232853 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2062412365140 in words is "two trillion, sixty-two billion, four hundred twelve million, three hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 73 85 90 102 146 153 170 180 204 219 255 292 306 340 365 438 510 612 657 730 765 876 1020 1095 1241 1314 1460 1530 2190 2482 2628 3060 3285 3723 4380 4964 6205 6570 7446 11169 12410 13140 14892 18615 22338 24820 37230 44676 55845 74460 111690 223380 9232753 18465506 27698259 36931012 46163765 55396518 83094777 92327530 110793036 138491295 156956801 166189554 184655060 276982590 313913602 332379108 415473885 470870403 553965180 627827204 673990969 784784005 830947770 941740806 1347981938 1412611209 1569568010 1661895540 1883481612 2021972907 2354352015 2695963876 2825222418 3139136020 3369954845 4043945814 4708704030 5650444836 6065918721 6739909690 7063056045 8087891628 9417408060 10109864535 11457846473 12131837442 13479819380 14126112090 20219729070 22915692946 24263674884 28252224180 30329593605 34373539419 40439458140 45831385892 57289232365 60659187210 68747078838 103120618257 114578464730 121318374420 137494157676 171867697095 206241236514 229156929460 343735394190 412482473028 515603091285 687470788380 1031206182570 2062412365140