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145444435304 = 23743174134693
BaseRepresentation
bin1000011101110100101…
…0011111010101101000
3111220102021100211221012
42013131022133111220
54340332233412204
6150452151003052
713336151205350
oct2073512372550
9456367324835
10145444435304
1156756656a53
1224231069488
131093b81c74c
14707a73db60
153bb3bb776e
hex21dd29f568

145444435304 has 64 divisors (see below), whose sum is σ = 319107085440. Its totient is φ = 60846992640.

The previous prime is 145444435273. The next prime is 145444435319. The reversal of 145444435304 is 403534444541.

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, 4174982 + ... + 4209674.

It is an arithmetic number, because the mean of its divisors is an integer number (4986048210).

Almost surely, 2145444435304 is an apocalyptic number.

145444435304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145444435304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159553542720).

145444435304 is an abundant number, since it is smaller than the sum of its proper divisors (173662650136).

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

145444435304 is a wasteful number, since it uses less digits than its factorization.

145444435304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36490 (or 36486 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 41.

Adding to 145444435304 its reverse (403534444541), we get a palindrome (548978879845).

The spelling of 145444435304 in words is "one hundred forty-five billion, four hundred forty-four million, four hundred thirty-five thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 1741 2408 3482 6964 12187 13928 24374 34693 48748 69386 74863 97496 138772 149726 242851 277544 299452 485702 524041 598904 971404 1048082 1491799 1942808 2096164 2983598 4192328 5967196 10442593 11934392 20885186 41770372 60400513 83540744 120801026 241602052 422803591 483204104 845607182 1691214364 2597222059 3382428728 5194444118 10388888236 18180554413 20777776472 36361108826 72722217652 145444435304