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321140111344 = 241383113164617
BaseRepresentation
bin1001010110001010111…
…00010011011111110000
31010200220210202221201221
410223011130103133300
520230143332030334
6403310231034424
732126102623123
oct4530534233760
91120823687657
10321140111344
111142162478a8
12522a520ba14
132438b78c630
1411786a083ba
1585485858b4
hex4ac57137f0

321140111344 has 80 divisors (see below), whose sum is σ = 684149774112. Its totient is φ = 145136001024.

The previous prime is 321140111323. The next prime is 321140111371. The reversal of 321140111344 is 443111041123.

It is a super-2 number, since 2×3211401113442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1868524 + ... + 2033140.

Almost surely, 2321140111344 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 321140111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342074887056).

321140111344 is an abundant number, since it is smaller than the sum of its proper divisors (363009662768).

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

321140111344 is a wasteful number, since it uses less digits than its factorization.

321140111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164834 (or 164828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 321140111344 its reverse (443111041123), we get a palindrome (764251152467).

The spelling of 321140111344 in words is "three hundred twenty-one billion, one hundred forty million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 83 104 113 166 208 226 332 452 664 904 1079 1328 1469 1808 2158 2938 4316 5876 8632 9379 11752 17264 18758 23504 37516 75032 121927 150064 164617 243854 329234 487708 658468 975416 1316936 1950832 2140021 2633872 4280042 8560084 13663211 17120168 18601721 27326422 34240336 37203442 54652844 74406884 109305688 148813768 177621743 218611376 241822373 297627536 355243486 483644746 710486972 967289492 1420973944 1543942843 1934578984 2841947888 3087885686 3869157968 6175771372 12351542744 20071256959 24703085488 40142513918 80285027836 160570055672 321140111344