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114642322432 = 2101117358831
BaseRepresentation
bin110101011000100110…
…1110000010000000000
3101221220121202101112221
41222301031300100000
53334241413304212
6124355502500424
711165641443121
oct1526115602000
9357817671487
10114642322432
114468a669720
121a275594714
13aa70214b61
14579797a048
152eae94a807
hex1ab1370400

114642322432 has 88 divisors (see below), whose sum is σ = 251455969152. Its totient is φ = 51808051200.

The previous prime is 114642322427. The next prime is 114642322433. The reversal of 114642322432 is 234223246411.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (114642322433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1919257 + ... + 1978087.

Almost surely, 2114642322432 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 114642322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125727984576).

114642322432 is an abundant number, since it is smaller than the sum of its proper divisors (136813646720).

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

114642322432 is a wasteful number, since it uses less digits than its factorization.

114642322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59035 (or 59017 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

Adding to 114642322432 its reverse (234223246411), we get a palindrome (348865568843).

The spelling of 114642322432 in words is "one hundred fourteen billion, six hundred forty-two million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 173 176 256 346 352 512 692 704 1024 1384 1408 1903 2768 2816 3806 5536 5632 7612 11072 11264 15224 22144 30448 44288 58831 60896 88576 117662 121792 177152 235324 243584 470648 487168 647141 941296 974336 1294282 1882592 1948672 2588564 3765184 5177128 7530368 10177763 10354256 15060736 20355526 20708512 30121472 40711052 41417024 60242944 81422104 82834048 111955393 162844208 165668096 223910786 325688416 331336192 447821572 651376832 662672384 895643144 1302753664 1791286288 2605507328 3582572576 5211014656 7165145152 10422029312 14330290304 28660580608 57321161216 114642322432