Search a number
-
+
4441023201300 = 22352717124398409
BaseRepresentation
bin100000010100000000110…
…0111000100000000010100
3120201120001112122121201220
41000220001213010000110
51040230203414420200
613240102231450340
7635565460240110
oct100500147040024
916646045577656
104441023201300
111462477902314
125b88498269b0
13262a2c48aa8a
14114d3793a740
157a7c41014a0
hex40a019c4014

4441023201300 has 144 divisors (see below), whose sum is σ = 15548806062720. Its totient is φ = 955379773440.

The previous prime is 4441023201289. The next prime is 4441023201343. The reversal of 4441023201300 is 31023201444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62163505 + ... + 62234904.

It is an arithmetic number, because the mean of its divisors is an integer number (107977819880).

Almost surely, 24441023201300 is an apocalyptic number.

It is an amenable number.

4441023201300 is an abundant number, since it is smaller than the sum of its proper divisors (11107782861420).

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

4441023201300 is a wasteful number, since it uses less digits than its factorization.

4441023201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124398450 (or 124398443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4441023201300 its reverse (31023201444), we get a palindrome (4472046402744).

The spelling of 4441023201300 in words is "four trillion, four hundred forty-one billion, twenty-three million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 124398409 248796818 373195227 497593636 621992045 746390454 870788863 1243984090 1492780908 1741577726 1865976135 2114772953 2487968180 2612366589 3109960225 3483155452 3731952270 4229545906 4353944315 5224733178 6219920450 6344318859 7463904540 8459091812 8707888630 9329880675 10449466356 10573864765 12439840900 12688637718 13061832945 14803410671 17415777260 18659761350 21147729530 21769721575 25377275436 26123665890 29606821342 31721594295 37319522700 42295459060 43539443150 44410232013 52247331780 52869323825 59213642684 63443188590 65309164725 74017053355 87078886300 88820464026 105738647650 126886377180 130618329450 148034106710 158607971475 177640928052 211477295300 222051160065 261236658900 296068213420 317215942950 370085266775 444102320130 634431885900 740170533550 888204640260 1110255800325 1480341067100 2220511600650 4441023201300