Search a number
-
+
3110140124532 = 22327547199311321
BaseRepresentation
bin101101010000100010110…
…011000001110101110100
3102000022211000100022112200
4231100202303001311310
5401424031332441112
610340440104344500
7440462112603630
oct55204263016564
912008730308480
103110140124532
11a9a004023491
12422923775130
1319739207ba1c
14aa762953dc0
1555d7dcb9cdc
hex2d422cc1d74

3110140124532 has 144 divisors (see below), whose sum is σ = 9006586872192. Its totient is φ = 886463585280.

The previous prime is 3110140124477. The next prime is 3110140124537. The reversal of 3110140124532 is 2354210410113.

3110140124532 is a `hidden beast` number, since 3 + 1 + 1 + 0 + 1 + 4 + 0 + 124 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3110140124496 and 3110140124505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3110140124537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274717432 + ... + 274728752.

It is an arithmetic number, because the mean of its divisors is an integer number (62545742168).

Almost surely, 23110140124532 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 3110140124532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503293436096).

3110140124532 is an abundant number, since it is smaller than the sum of its proper divisors (5896446747660).

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

3110140124532 is a wasteful number, since it uses less digits than its factorization.

3110140124532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13878 (or 13873 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 3110140124532 its reverse (2354210410113), we get a palindrome (5464350534645).

The spelling of 3110140124532 in words is "three trillion, one hundred ten billion, one hundred forty million, one hundred twenty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 547 1094 1641 1993 2188 3282 3829 3986 4923 5979 6564 7658 7972 9846 11321 11487 11958 13951 15316 17937 19692 22642 22974 23916 27902 33963 34461 35874 41853 45284 45948 55804 67926 68922 71748 79247 83706 101889 125559 135852 137844 158494 167412 203778 237741 251118 316988 407556 475482 502236 713223 950964 1090171 1426446 2180342 2852892 3270513 4360684 6192587 6541026 7631197 9811539 12385174 13082052 15262394 18577761 19623078 22562753 22893591 24770348 30524788 37155522 39246156 43348109 45125506 45787182 55733283 67688259 68680773 74311044 86696218 90251012 91574364 111466566 130044327 135376518 137361546 157939271 173392436 203064777 222933132 260088654 270753036 274723092 315878542 390132981 406129554 473817813 520177308 631757084 780265962 812259108 947635626 1421453439 1560531924 1895271252 2842906878 5685813756 12341825891 24683651782 37025477673 49367303564 74050955346 86392781237 111076433019 148101910692 172785562474 222152866038 259178343711 345571124948 444305732076 518356687422 777535031133 1036713374844 1555070062266 3110140124532