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3114544221440 = 285107139163601
BaseRepresentation
bin101101010100101001010…
…011010100110100000000
3102000202011221102121201222
4231110221103110310000
5402012041310041230
610342445111414212
7441006211034411
oct55245123246400
912022157377658
103114544221440
11aa09640206a3
12423752684368
13197914617722
14aaa5d817808
155603a7626e5
hex2d5294d4d00

3114544221440 has 144 divisors (see below), whose sum is σ = 7584248427840. Its totient is φ = 1225288089600.

The previous prime is 3114544221433. The next prime is 3114544221443. The reversal of 3114544221440 is 441224454113.

It is a self number, because there is not a number n which added to its sum of digits gives 3114544221440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114544221443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18955640 + ... + 19119240.

It is an arithmetic number, because the mean of its divisors is an integer number (52668391860).

Almost surely, 23114544221440 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 3114544221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792124213920).

3114544221440 is an abundant number, since it is smaller than the sum of its proper divisors (4469704206400).

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

3114544221440 is a wasteful number, since it uses less digits than its factorization.

3114544221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163868 (or 163854 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 3114544221440 its reverse (441224454113), we get a palindrome (3555768675553).

The spelling of 3114544221440 in words is "three trillion, one hundred fourteen billion, five hundred forty-four million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 139 160 214 256 278 320 428 535 556 640 695 856 1070 1112 1280 1390 1712 2140 2224 2780 3424 4280 4448 5560 6848 8560 8896 11120 13696 14873 17120 17792 22240 27392 29746 34240 35584 44480 59492 68480 74365 88960 118984 136960 148730 163601 177920 237968 297460 327202 475936 594920 654404 818005 951872 1189840 1308808 1636010 1903744 2379680 2617616 3272020 3807488 4759360 5235232 6544040 9518720 10470464 13088080 17505307 19037440 20940928 22740539 26176160 35010614 41881856 45481078 52352320 70021228 87526535 90962156 104704640 113702695 140042456 175053070 181924312 209409280 227405390 280084912 350106140 363848624 454810780 560169824 700212280 727697248 909621560 1120339648 1400424560 1455394496 1819243120 2240679296 2433237673 2800849120 2910788992 3638486240 4481358592 4866475346 5601698240 5821577984 7276972480 9732950692 11203396480 12166188365 14553944960 19465901384 22406792960 24332376730 29107889920 38931802768 48664753460 77863605536 97329506920 155727211072 194659013840 311454422144 389318027680 622908844288 778636055360 1557272110720 3114544221440