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230042330144 = 25111494918933
BaseRepresentation
bin1101011000111110010…
…1110110010000100000
3210222210001020011220122
43112033211312100200
512232111314031034
6253402513255412
722422443354234
oct3261745662040
9728701204818
10230042330144
1189618997520
1238700864568
13189013b55a3
14b1c3dc85c4
155eb5b6062e
hex358f976420

230042330144 has 96 divisors (see below), whose sum is σ = 498452875200. Its totient is φ = 103639782400.

The previous prime is 230042330113. The next prime is 230042330171. The reversal of 230042330144 is 441033240032.

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, 25747502 + ... + 25756434.

It is an arithmetic number, because the mean of its divisors is an integer number (5192217450).

Almost surely, 2230042330144 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 230042330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249226437600).

230042330144 is an abundant number, since it is smaller than the sum of its proper divisors (268410545056).

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

230042330144 is a wasteful number, since it uses less digits than its factorization.

230042330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9594 (or 9586 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 230042330144 its reverse (441033240032), we get a palindrome (671075570176).

The spelling of 230042330144 in words is "two hundred thirty billion, forty-two million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 298 352 491 596 982 1192 1639 1964 2384 3278 3928 4768 5401 6556 7856 8933 10802 13112 15712 17866 21604 26224 35732 43208 52448 71464 73159 86416 98263 142928 146318 172832 196526 285856 292636 393052 585272 786104 804749 1170544 1331017 1572208 1609498 2341088 2662034 3144416 3218996 4386103 5324068 6437992 8772206 10648136 12875984 14641187 17544412 21296272 25751968 29282374 35088824 42592544 48247133 58564748 70177648 96494266 117129496 140355296 192988532 234258992 385977064 468517984 653529347 771954128 1307058694 1543908256 2614117388 5228234776 7188822817 10456469552 14377645634 20912939104 28755291268 57510582536 115021165072 230042330144