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141110424546 = 237133710636571
BaseRepresentation
bin1000001101101011010…
…1100011001111100010
3111111020020011021212020
42003122311203033202
54302443232041141
6144454130042310
713123563550440
oct2033265431742
9444206137766
10141110424546
1154932179583
1223421719396
13103ca952840
146b88cc1b90
153a0d466266
hex20dad633e2

141110424546 has 128 divisors (see below), whose sum is σ = 357126475776. Its totient is φ = 36170530560.

The previous prime is 141110424491. The next prime is 141110424571. The reversal of 141110424546 is 645424011141.

It is a happy number.

141110424546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1411104245463 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 21471441 + ... + 21478011.

It is an arithmetic number, because the mean of its divisors is an integer number (2790050592).

Almost surely, 2141110424546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141110424546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178563237888).

141110424546 is an abundant number, since it is smaller than the sum of its proper divisors (216016051230).

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

141110424546 is a wasteful number, since it uses less digits than its factorization.

141110424546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696.

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 141110424546 its reverse (645424011141), we get a palindrome (786534435687).

The spelling of 141110424546 in words is "one hundred forty-one billion, one hundred ten million, four hundred twenty-four thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1063 1443 1554 2126 2886 3189 3367 6378 6571 6734 7441 10101 13142 13819 14882 19713 20202 22323 27638 39331 39426 41457 44646 45997 78662 82914 85423 91994 96733 117993 137991 170846 193466 235986 243127 256269 275317 275982 290199 486254 511303 512538 550634 580398 597961 729381 825951 1022606 1195922 1458762 1533909 1651902 1701889 1793883 3067818 3160651 3403778 3579121 3587766 5105667 6321302 6984973 7158242 9481953 10211334 10737363 13969946 18963906 20954919 21474726 22124557 41909838 44249114 48894811 66373671 90804649 97789622 132747342 146684433 181609298 258444001 272413947 293368866 516888002 544827894 635632543 775332003 1271265086 1550664006 1809108007 1906897629 3359772013 3618216014 3813795258 5427324021 6719544026 10079316039 10854648042 20158632078 23518404091 47036808182 70555212273 141110424546