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145541141444 = 221943229439443
BaseRepresentation
bin1000011110001011101…
…1011001001111000100
3111220200000100000211002
42013202323121033010
54341032013011234
6150505523432432
713341434201426
oct2074273311704
9456600300732
10145541141444
11567a61a8786
1224259525718
131095587bc0a
147089514816
153bbc41b27e
hex21e2ed93c4

145541141444 has 96 divisors (see below), whose sum is σ = 276786048000. Its totient is φ = 66739510656.

The previous prime is 145541141443. The next prime is 145541141477. The reversal of 145541141444 is 444141145541.

145541141444 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 (38).

It is a junction number, because it is equal to n+sod(n) for n = 145541141398 and 145541141407.

It is not an unprimeable number, because it can be changed into a prime (145541141443) 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, 328535087 + ... + 328535529.

It is an arithmetic number, because the mean of its divisors is an integer number (2883188000).

Almost surely, 2145541141444 is an apocalyptic number.

It is an amenable number.

145541141444 is a deficient number, since it is larger than the sum of its proper divisors (131244906556).

145541141444 is a wasteful number, since it uses less digits than its factorization.

145541141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1175 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

Adding to 145541141444 its reverse (444141145541), we get a palindrome (589682286985).

The spelling of 145541141444 in words is "one hundred forty-five billion, five hundred forty-one million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 19 38 43 76 86 172 229 439 443 458 817 878 886 916 1634 1756 1772 3268 4351 8341 8417 8702 9847 16682 16834 17404 18877 19049 19694 33364 33668 37754 38098 39388 75508 76196 100531 101447 187093 194477 201062 202894 358663 361931 374186 388954 402124 405788 717326 723862 748372 777908 1434652 1447724 1910089 1927493 3695063 3820178 3854986 4322833 4362221 7390126 7640356 7709972 8362511 8645666 8724442 14780252 16725022 17291332 17448884 33450044 44535233 82133827 82882199 89070466 158887709 164267654 165764398 178140932 317775418 328535308 331528796 635550836 846169427 1692338854 1915015019 3384677708 3830030038 7660060076 36385285361 72770570722 145541141444