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438768112044 = 223712275574073
BaseRepresentation
bin1100110001010001001…
…11100001000110101100
31112221112111121111220110
412120220213201012230
524142044114041134
6533322311220020
743462040262513
oct6305047410654
91487474544813
10438768112044
1115a098184819
1271052677610
13324b6413002
1417344cdd67a
15b6301967e9
hex66289e11ac

438768112044 has 96 divisors (see below), whose sum is σ = 1044914121216. Its totient is φ = 143267944960.

The previous prime is 438768112021. The next prime is 438768112063. The reversal of 438768112044 is 440211867834.

It is a super-2 number, since 2×4387681120442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 438768111984 and 438768112002.

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 31 ways as a sum of consecutive naturals, for example, 107723992 + ... + 107728064.

It is an arithmetic number, because the mean of its divisors is an integer number (10884522096).

Almost surely, 2438768112044 is an apocalyptic number.

It is an amenable number.

438768112044 is an abundant number, since it is smaller than the sum of its proper divisors (606146009172).

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

438768112044 is a wasteful number, since it uses less digits than its factorization.

438768112044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

Adding to 438768112044 its reverse (440211867834), we get a palindrome (878979979878).

The spelling of 438768112044 in words is "four hundred thirty-eight billion, seven hundred sixty-eight million, one hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 12 71 142 213 227 284 426 454 557 681 852 908 1114 1362 1671 2228 2724 3342 4073 6684 8146 12219 16117 16292 24438 32234 39547 48351 48876 64468 79094 96702 118641 126439 158188 193404 237282 252878 289183 379317 474564 505756 578366 758634 867549 924571 1156732 1517268 1735098 1849142 2268661 2773713 3470196 3698284 4537322 5547426 6805983 8977169 9074644 11094852 13611966 17954338 26931507 27223932 35908676 53863014 65644541 107726028 131289082 161074931 196933623 262578164 322149862 393867246 483224793 514986047 644299724 787734492 966449586 1029972094 1544958141 1932899172 2059944188 3089916282 6179832564 36564009337 73128018674 109692028011 146256037348 219384056022 438768112044