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3034544520144 = 2431771439119311
BaseRepresentation
bin101100001010001000111…
…100101011101111010000
3101202002200121212201111010
4230022020330223233100
5344204221344121034
610242014524250520
7432144561555564
oct54121074535720
911662617781433
103034544520144
11a6aa412a8a85
124101469a0a40
13190205588877
14a6c30b196a4
1553e073023e9
hex2c288f2bbd0

3034544520144 has 160 divisors (see below), whose sum is σ = 8436522885120. Its totient is φ = 936459417600.

The previous prime is 3034544520113. The next prime is 3034544520151. The reversal of 3034544520144 is 4410254454303.

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, 25374249 + ... + 25493559.

It is an arithmetic number, because the mean of its divisors is an integer number (52728268032).

Almost surely, 23034544520144 is an apocalyptic number.

3034544520144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034544520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218261442560).

3034544520144 is an abundant number, since it is smaller than the sum of its proper divisors (5401978364976).

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

3034544520144 is a wasteful number, since it uses less digits than its factorization.

3034544520144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119849 (or 119843 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 3034544520144 its reverse (4410254454303), we get a palindrome (7444798974447).

The spelling of 3034544520144 in words is "three trillion, thirty-four billion, five hundred forty-four million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 71 102 136 142 204 213 272 284 408 426 439 568 816 852 878 1136 1207 1317 1704 1756 2414 2634 3408 3512 3621 4828 5268 7024 7242 7463 9656 10536 14484 14926 19312 21072 22389 28968 29852 31169 44778 57936 59704 62338 89556 93507 119311 119408 124676 179112 187014 238622 249352 357933 358224 374028 477244 498704 529873 715866 748056 954488 1059746 1431732 1496112 1589619 1908976 2028287 2119492 2863464 3179238 4056574 4238984 5726928 6084861 6358476 8113148 8471081 8477968 12169722 12716952 16226296 16942162 24339444 25413243 25433904 32452592 33884324 48678888 50826486 52377529 67768648 97357776 101652972 104755058 135537296 144008377 157132587 203305944 209510116 288016754 314265174 406611888 419020232 432025131 576033508 628530348 838040464 864050262 890417993 1152067016 1257060696 1728100524 1780835986 2304134032 2514121392 2671253979 3456201048 3561671972 3718804559 5342507958 6912402096 7123343944 7437609118 10685015916 11156413677 14246687888 14875218236 21370031832 22312827354 29750436472 42740063664 44625654708 59500872944 63219677503 89251309416 126439355006 178502618832 189659032509 252878710012 379318065018 505757420024 758636130036 1011514840048 1517272260072 3034544520144