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54230235140312 = 23711421382154727
BaseRepresentation
bin11000101010010011101011…
…11001101101000011011000
321010000100201022212220210222
430111021311321231003120
524102002010143442222
6311201005345255212
714265001532012330
oct1425116571550330
9233010638786728
1054230235140312
1116308a05a59320
1260ba224034508
132434b7384183a
14d56a863a20c0
156409bd664542
hex315275e6d0d8

54230235140312 has 128 divisors (see below), whose sum is σ = 127108678394880. Its totient is φ = 21072574656000.

The previous prime is 54230235140129. The next prime is 54230235140321. The reversal of 54230235140312 is 21304153203245.

54230235140312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990895493 + ... + 990950219.

It is an arithmetic number, because the mean of its divisors is an integer number (993036549960).

Almost surely, 254230235140312 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 54230235140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63554339197440).

54230235140312 is an abundant number, since it is smaller than the sum of its proper divisors (72878443254568).

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

54230235140312 is a wasteful number, since it uses less digits than its factorization.

54230235140312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58993 (or 58989 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 54230235140312 its reverse (21304153203245), we get a palindrome (75534388343557).

The spelling of 54230235140312 in words is "fifty-four trillion, two hundred thirty billion, two hundred thirty-five million, one hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 421 616 842 1684 2947 3368 3821 4631 5894 7642 9262 11788 15284 18524 23576 26747 30568 32417 37048 42031 53494 54727 64834 84062 106988 109454 129668 168124 213976 218908 259336 294217 336248 383089 437816 588434 601997 766178 1176868 1203994 1532356 1608641 2353736 2407988 3064712 3217282 4213979 4815976 6434564 8427958 11260487 12869128 16855916 17695051 22520974 23040067 33711832 35390102 45041948 46080134 70780204 90083896 92160268 123865357 141560408 161280469 184320536 209111867 247730714 253440737 322560938 418223734 495461428 506881474 645121876 836447468 990922856 1013762948 1290243752 1463783069 1672894936 1774085159 2027525896 2300230537 2927566138 3548170318 4600461074 5855132276 7096340636 9200922148 11710264552 14192681272 16101613759 18401844296 32203227518 64406455036 88036096007 128812910072 176072192014 352144384028 616252672049 704288768056 968397056077 1232505344098 1936794112154 2465010688196 3873588224308 4930021376392 6778779392539 7747176448616 13557558785078 27115117570156 54230235140312