Search a number
-
+
4441202310030 = 23523113563101173
BaseRepresentation
bin100000010100000110001…
…0010010011101110001110
3120201120112000200021201120
41000220030102103232032
51040231040242410110
613240132110421410
7635603063524023
oct100501422235616
916646460607646
104441202310030
111462559a16362
125b8899801866
13262a5a60c085
14114d5364154a
157a7d4bd0870
hex40a0c493b8e

4441202310030 has 128 divisors (see below), whose sum is σ = 11240784294912. Its totient is φ = 1120797984768.

The previous prime is 4441202309977. The next prime is 4441202310059. The reversal of 4441202310030 is 300132021444.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43846524 + ... + 43947696.

It is an arithmetic number, because the mean of its divisors is an integer number (87818627304).

Almost surely, 24441202310030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441202310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620392147456).

4441202310030 is an abundant number, since it is smaller than the sum of its proper divisors (6799581984882).

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

4441202310030 is a wasteful number, since it uses less digits than its factorization.

4441202310030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101882.

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

Adding to 4441202310030 its reverse (300132021444), we get a palindrome (4741334331474).

The spelling of 4441202310030 in words is "four trillion, four hundred forty-one billion, two hundred two million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 113 115 138 226 230 339 345 563 565 678 690 1126 1130 1689 1695 2599 2815 3378 3390 5198 5630 7797 8445 12949 12995 15594 16890 25898 25990 38847 38985 63619 64745 77694 77970 101173 127238 129490 190857 194235 202346 303519 318095 381714 388470 505865 607038 636190 954285 1011730 1463237 1517595 1908570 2326979 2926474 3035190 4389711 4653958 6980937 7316185 8779422 11432549 11634895 13961874 14632370 21948555 22865098 23269790 34297647 34904685 43897110 56960399 57162745 68595294 69809370 113920798 114325490 170881197 171488235 262948627 284801995 341762394 342976470 525897254 569603990 788845881 854405985 1310089177 1314743135 1577691762 1708811970 2620178354 2629486270 3930267531 3944229405 6436525087 6550445885 7860535062 7888458810 12873050174 13100891770 19309575261 19651337655 32182625435 38619150522 39302675310 64365250870 96547876305 148040077001 193095752610 296080154002 444120231003 740200385005 888240462006 1480400770010 2220601155015 4441202310030