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230324042988 = 22321319151171539
BaseRepresentation
bin1101011010000001100…
…0011111110011101100
3211000111200022200021200
43112200120133303230
512233200423333423
6253450455325500
722432434030414
oct3264030376354
9730450280250
10230324042988
1189752a10556
123877b080890
131894787c790
14b20d59b644
155ed075ad43
hex35a061fcec

230324042988 has 144 divisors (see below), whose sum is σ = 664367558400. Its totient is φ = 66693974400.

The previous prime is 230324042957. The next prime is 230324043017. The reversal of 230324042988 is 889240423032.

230324042988 is a `hidden beast` number, since 2 + 30 + 324 + 0 + 4 + 298 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256923 + ... + 1428461.

It is an arithmetic number, because the mean of its divisors is an integer number (4613663600).

Almost surely, 2230324042988 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 230324042988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332183779200).

230324042988 is an abundant number, since it is smaller than the sum of its proper divisors (434043515412).

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

230324042988 is a wasteful number, since it uses less digits than its factorization.

230324042988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171732 (or 171727 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 230324042988 in words is "two hundred thirty billion, three hundred twenty-four million, forty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 151 156 171 228 234 247 302 342 453 468 494 604 684 741 906 988 1359 1482 1812 1963 2223 2718 2869 2964 3926 4446 5436 5738 5889 7852 8607 8892 11476 11778 17214 17667 23556 25821 34428 35334 37297 51642 70668 74594 103284 111891 149188 171539 223782 335673 343078 447564 514617 671346 686156 1029234 1342692 1543851 2058468 2230007 3087702 3259241 4460014 6175404 6518482 6690021 8920028 9777723 13036964 13380042 19555446 20070063 25902389 26760084 29333169 39110892 40140126 42370133 51804778 58666338 77707167 80280252 84740266 103609556 117332676 127110399 155414334 169480532 233121501 254220798 310828668 336731057 381331197 466243002 492145391 508441596 673462114 762662394 932486004 984290782 1010193171 1346924228 1476436173 1525324788 1968581564 2020386342 2952872346 3030579513 4040772684 4429308519 5905744692 6061159026 6397890083 8858617038 12122318052 12795780166 17717234076 19193670249 25591560332 38387340498 57581010747 76774680996 115162021494 230324042988