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231440210144 = 251113329915331
BaseRepresentation
bin1101011110001011101…
…0010101100011100000
3211010101110120211202222
43113202322111203200
512242442143211034
6254153330530212
722502206220153
oct3274272254340
9733343524688
10231440210144
118a175a68450
1238a30a36968
1318a94ba1110
14b2b7907c9a
15604873712e
hex35e2e958e0

231440210144 has 96 divisors (see below), whose sum is σ = 535503830400. Its totient is φ = 97072012800.

The previous prime is 231440210123. The next prime is 231440210171. The reversal of 231440210144 is 441012044132.

231440210144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15088559 + ... + 15103889.

It is an arithmetic number, because the mean of its divisors is an integer number (5578164900).

Almost surely, 2231440210144 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 231440210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267751915200).

231440210144 is an abundant number, since it is smaller than the sum of its proper divisors (304063620256).

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

231440210144 is a wasteful number, since it uses less digits than its factorization.

231440210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18664 (or 18656 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 231440210144 its reverse (441012044132), we get a palindrome (672452254276).

The spelling of 231440210144 in words is "two hundred thirty-one billion, four hundred forty million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 3299 4576 6598 13196 15331 26392 30662 36289 42887 52784 61324 72578 85774 105568 122648 145156 168641 171548 199303 245296 290312 337282 343096 398606 471757 490592 580624 674564 686192 797212 943514 1161248 1349128 1372384 1594424 1887028 2192333 2698256 3188848 3774056 4384666 5396512 6377696 7548112 8769332 15096224 17538664 35077328 50576969 70154656 101153938 202307876 404615752 556346659 657500597 809231504 1112693318 1315001194 1618463008 2225386636 2630002388 4450773272 5260004776 7232506567 8901546544 10520009552 14465013134 17803093088 21040019104 28930026268 57860052536 115720105072 231440210144