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100411433424 = 2432739552077
BaseRepresentation
bin101110110000011111…
…1001110000111010000
3100121011211211022210200
41131200333032013100
53121120311332144
6114043421255200
710153201046601
oct1354077160720
9317154738720
10100411433424
1139647700125
1217563704500
139612b25183
144c0795dda8
15292a40ac69
hex1760fce1d0

100411433424 has 60 divisors (see below), whose sum is σ = 284862070116. Its totient is φ = 33011974656.

The previous prime is 100411433413. The next prime is 100411433429. The reversal of 100411433424 is 424334114001.

It can be written as a sum of positive squares in 2 ways, for example, as 72932403600 + 27479029824 = 270060^2 + 165768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100411433429) 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 11 ways as a sum of consecutive naturals, for example, 4765527 + ... + 4786550.

Almost surely, 2100411433424 is an apocalyptic number.

It is an amenable number.

100411433424 is an abundant number, since it is smaller than the sum of its proper divisors (184450636692).

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

100411433424 is a wasteful number, since it uses less digits than its factorization.

100411433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552164 (or 9552155 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100411433424 its reverse (424334114001), we get a palindrome (524745547425).

The spelling of 100411433424 in words is "one hundred billion, four hundred eleven million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 9552077 19104154 28656231 38208308 57312462 76416616 85968693 114624924 152833232 171937386 229249848 343874772 458499696 687749544 697301621 1375499088 1394603242 2091904863 2789206484 4183809726 5578412968 6275714589 8367619452 11156825936 12551429178 16735238904 25102858356 33470477808 50205716712 100411433424