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44412041424030 = 23573531733345707
BaseRepresentation
bin10100001100100011110111…
…11100111110110010011110
312211020202020112020210200020
422012101323330332302132
521310121330101032110
6234242335444013010
712232443534263310
oct1206217374766236
9184222215223606
1044412041424030
111317304a623145
124b93426991166
131ba206460aab7
14ad77a8cdd7b0
155203d47c4d70
hex28647bf3ec9e

44412041424030 has 128 divisors (see below), whose sum is σ = 122231817151488. Its totient is φ = 10116696133632.

The previous prime is 44412041424013. The next prime is 44412041424083. The reversal of 44412041424030 is 3042414021444.

It is a super-2 number, since 2×444120414240302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44412041423982 and 44412041424000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128294437 + ... + 128640143.

It is an arithmetic number, because the mean of its divisors is an integer number (954936071496).

Almost surely, 244412041424030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44412041424030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61115908575744).

44412041424030 is an abundant number, since it is smaller than the sum of its proper divisors (77819775727458).

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

44412041424030 is a wasteful number, since it uses less digits than its factorization.

44412041424030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347810.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 44412041424030 its reverse (3042414021444), we get a palindrome (47454455445474).

The spelling of 44412041424030 in words is "forty-four trillion, four hundred twelve billion, forty-one million, four hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 353 706 1059 1733 1765 2118 2471 3466 3530 4942 5199 5295 7413 8665 10398 10590 12131 12355 14826 17330 24262 24710 25995 36393 37065 51990 60655 72786 74130 121310 181965 345707 363930 611749 691414 1037121 1223498 1728535 1835247 2074242 2419949 3058745 3457070 3670494 4282243 4839898 5185605 6117490 7259847 8564486 9176235 10371210 12099745 12846729 14519694 18352470 21411215 24199490 25693458 36299235 42822430 64233645 72598470 122034571 128467290 244069142 366103713 599110231 610172855 732207426 854241997 1198220462 1220345710 1708483994 1797330693 1830518565 2562725991 2995551155 3594661386 3661037130 4193771617 4271209985 5125451982 5991102310 8387543234 8542419970 8986653465 12581314851 12813629955 17973306930 20968858085 25162629702 25627259910 41937716170 62906574255 125813148510 211485911543 422971823086 634457734629 1057429557715 1268915469258 1480401380801 2114859115430 2960802761602 3172288673145 4441204142403 6344577346290 7402006904005 8882408284806 14804013808010 22206020712015 44412041424030