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145231761328 = 24171921479059
BaseRepresentation
bin1000011101000001111…
…1001100111110110000
3111212212110011220002021
42013100133030332300
54334413312330303
6150415112401224
713330656413533
oct2072037147660
9455773156067
10145231761328
11566575a7935
12241919a6214
1310906748764
14705a3bca1a
153ba01a7ebd
hex21d07ccfb0

145231761328 has 60 divisors (see below), whose sum is σ = 314445197880. Its totient is φ = 64747243008.

The previous prime is 145231761289. The next prime is 145231761377. The reversal of 145231761328 is 823167132541.

It is a happy number.

145231761328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 641338 + ... + 837721.

It is an arithmetic number, because the mean of its divisors is an integer number (5240753298).

Almost surely, 2145231761328 is an apocalyptic number.

It is an amenable number.

145231761328 is an abundant number, since it is smaller than the sum of its proper divisors (169213436552).

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

145231761328 is a wasteful number, since it uses less digits than its factorization.

145231761328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479122 (or 1479097 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

Adding to 145231761328 its reverse (823167132541), we get a palindrome (968398893869).

The spelling of 145231761328 in words is "one hundred forty-five billion, two hundred thirty-one million, seven hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 361 646 722 1292 1444 2584 2888 5168 5776 6137 12274 24548 49096 98192 1479059 2958118 5916236 11832472 23664944 25144003 28102121 50288006 56204242 100576012 112408484 201152024 224816968 402304048 449633936 477736057 533940299 955472114 1067880598 1910944228 2135761196 3821888456 4271522392 7643776912 8543044784 9076985083 18153970166 36307940332 72615880664 145231761328