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2443332332112 = 243737241815501
BaseRepresentation
bin100011100011100001111…
…101001010101001010000
322122120200000211202202020
4203203201331022221100
5310012421034111422
65110241255251440
7341345024102610
oct43434175125120
98576600752666
102443332332112
11862236449701
1233564b079b80
131495364478c9
1486387a14a40
1543853bea95c
hex238e1f4aa50

2443332332112 has 160 divisors (see below), whose sum is σ = 7439361540864. Its totient is φ = 676408320000.

The previous prime is 2443332332107. The next prime is 2443332332113. The reversal of 2443332332112 is 2112332333442.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2443332332113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2588362 + ... + 3403862.

Almost surely, 22443332332112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2443332332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719680770432).

2443332332112 is an abundant number, since it is smaller than the sum of its proper divisors (4996029208752).

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

2443332332112 is a wasteful number, since it uses less digits than its factorization.

2443332332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815797 (or 815791 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 2443332332112 its reverse (2112332333442), we get a palindrome (4555664665554).

The spelling of 2443332332112 in words is "two trillion, four hundred forty-three billion, three hundred thirty-two million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 241 259 296 336 444 482 518 592 723 777 888 964 1036 1446 1554 1687 1776 1928 2072 2892 3108 3374 3856 4144 5061 5784 6216 6748 8917 10122 11568 12432 13496 17834 20244 26751 26992 35668 40488 53502 62419 71336 80976 107004 124838 142672 187257 214008 249676 374514 428016 499352 749028 815501 998704 1498056 1631002 2446503 2996112 3262004 4893006 5708507 6524008 9786012 11417014 13048016 17125521 19572024 22834028 30173537 34251042 39144048 45668056 60347074 68502084 90520611 91336112 120694148 137004168 181041222 196535741 211214759 241388296 274008336 362082444 393071482 422429518 482776592 589607223 633644277 724164888 786142964 844859036 1179214446 1267288554 1375750187 1448329776 1572285928 1689718072 2358428892 2534577108 2751500374 3144571856 3379436144 4127250561 4716857784 5069154216 5503000748 7271822417 8254501122 9433715568 10138308432 11006001496 14543644834 16509002244 21815467251 22012002992 29087289668 33018004488 43630934502 50902756919 58174579336 66036008976 87261869004 101805513838 116349158672 152708270757 174523738008 203611027676 305416541514 349047476016 407222055352 610833083028 814444110704 1221666166056 2443332332112