Search a number
-
+
3014043111024 = 2431197287920441
BaseRepresentation
bin101011110111000010111…
…110000000111001110000
3101200010202211212020020020
4223313002332000321300
5343340230014023044
610224344324043440
7430520540505531
oct53670276007160
911603684766206
103014043111024
11a6228083a960
12408184b33580
1318b2b905465a
14a5c47dd2688
1553607540a19
hex2bdc2f80e70

3014043111024 has 160 divisors (see below), whose sum is σ = 8585090519040. Its totient is φ = 903572275200.

The previous prime is 3014043110989. The next prime is 3014043111073. The reversal of 3014043111024 is 4201113404103.

3014043111024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30140431110242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3014043110985 and 3014043111003.

It is a congruent number.

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, 147440644 + ... + 147461084.

It is an arithmetic number, because the mean of its divisors is an integer number (53656815744).

Almost surely, 23014043111024 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 3014043111024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292545259520).

3014043111024 is an abundant number, since it is smaller than the sum of its proper divisors (5571047408016).

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

3014043111024 is a wasteful number, since it uses less digits than its factorization.

3014043111024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23439 (or 23433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3014043111024 its reverse (4201113404103), we get a palindrome (7215156515127).

The spelling of 3014043111024 in words is "three trillion, fourteen billion, forty-three million, one hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 132 176 194 264 291 388 528 582 776 1067 1164 1552 2134 2328 2879 3201 4268 4656 5758 6402 8536 8637 11516 12804 17072 17274 20441 23032 25608 31669 34548 40882 46064 51216 61323 63338 69096 81764 95007 122646 126676 138192 163528 190014 224851 245292 253352 279263 327056 380028 449702 490584 506704 558526 674553 760056 837789 899404 981168 1117052 1349106 1520112 1675578 1798808 1982777 2234104 2698212 3071893 3351156 3597616 3965554 4468208 5396424 5948331 6143786 6702312 7931108 9215679 10792848 11896662 12287572 13404624 15862216 18431358 21810547 23793324 24575144 31724432 36862716 43621094 47586648 49150288 58849639 65431641 73725432 87242188 95173296 117699278 130863282 147450864 174484376 176548917 235398556 261726564 348968752 353097834 470797112 523453128 647346029 706195668 941594224 1046906256 1294692058 1412391336 1942038087 2589384116 2824782672 3884076174 5178768232 5708414983 7768152348 10357536464 11416829966 15536304696 17125244949 22833659932 31072609392 34250489898 45667319864 62792564813 68500979796 91334639728 125585129626 137001959592 188377694439 251170259252 274003919184 376755388878 502340518504 753510777756 1004681037008 1507021555512 3014043111024