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145036230456 = 233131743635923
BaseRepresentation
bin1000011100010011010…
…1010011111100111000
3111212100211020220011010
42013010311103330320
54334013233333311
6150343445433520
713323063421635
oct2070465237470
9455324226133
10145036230456
1156567197677
122413840b8a0
13108a5097710
14703c44118c
153b8ce32da6
hex21c4d53f38

145036230456 has 128 divisors (see below), whose sum is σ = 423067518720. Its totient is φ = 41024600064.

The previous prime is 145036230431. The next prime is 145036230457. The reversal of 145036230456 is 654032630541.

145036230456 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145036230457) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 89890 + ... + 546033.

It is an arithmetic number, because the mean of its divisors is an integer number (3305214990).

Almost surely, 2145036230456 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 145036230456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211533759360).

145036230456 is an abundant number, since it is smaller than the sum of its proper divisors (278031288264).

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

145036230456 is a wasteful number, since it uses less digits than its factorization.

145036230456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636005 (or 636001 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 145036230456 its reverse (654032630541), we get a palindrome (799068860997).

The spelling of 145036230456 in words is "one hundred forty-five billion, thirty-six million, two hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 43 51 52 68 78 86 102 104 129 136 156 172 204 221 258 312 344 408 442 516 559 663 731 884 1032 1118 1326 1462 1677 1768 2193 2236 2652 2924 3354 4386 4472 5304 5848 6708 8772 9503 13416 17544 19006 28509 38012 57018 76024 114036 228072 635923 1271846 1907769 2543692 3815538 5087384 7631076 8266999 10810691 15262152 16533998 21621382 24800997 27344689 32432073 33067996 43242764 49601994 54689378 64864146 66135992 82034067 86485528 99203988 109378756 129728292 140538983 164068134 198407976 218757512 259456584 281077966 328136268 355480957 421616949 464859713 562155932 656272536 710961914 843233898 929719426 1066442871 1124311864 1394579139 1421923828 1686467796 1859438852 2132885742 2789158278 2843847656 3372935592 3718877704 4265771484 5578316556 6043176269 8531542968 11156633112 12086352538 18129528807 24172705076 36259057614 48345410152 72518115228 145036230456