Search a number
-
+
146511236463345 = 33513121909684791
BaseRepresentation
bin100001010100000001001110…
…001101000111101011110001
3201012202100002222101021201000
4201110001032031013223301
5123200420003013311340
61235334155521432213
742601042010035155
oct4124011615075361
9635670088337630
10146511236463345
1142757080497336
1214522a3879b669
136399c47ac8a30
142827278765065
1511e11607a4d30
hex85404e347af1

146511236463345 has 64 divisors (see below), whose sum is σ = 280502855539200. Its totient is φ = 72127911732480.

The previous prime is 146511236463337. The next prime is 146511236463373. The reversal of 146511236463345 is 543364632115641.

146511236463345 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 1 + 1 + 236 + 4 + 63 + 345 = 666.

It is not a de Polignac number, because 146511236463345 - 23 = 146511236463337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146511236463291 and 146511236463300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213607900 + ... + 214292690.

It is an arithmetic number, because the mean of its divisors is an integer number (4382857117800).

Almost surely, 2146511236463345 is an apocalyptic number.

146511236463345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146511236463345 is a deficient number, since it is larger than the sum of its proper divisors (133991619075855).

146511236463345 is a wasteful number, since it uses less digits than its factorization.

146511236463345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806727 (or 806721 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

Adding to 146511236463345 its reverse (543364632115641), we get a palindrome (689875868578986).

The spelling of 146511236463345 in words is "one hundred forty-six trillion, five hundred eleven billion, two hundred thirty-six million, four hundred sixty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 121909 365727 609545 684791 1097181 1584817 1828635 2054373 3291543 3423955 4754451 5485905 6163119 7924085 8902283 10271865 14263353 16457715 18489357 23772255 26706849 30815595 42790059 44511415 71316765 80120547 92446785 133534245 213950295 240361641 400602735 1201808205 83482186019 250446558057 417410930095 751339674171 1085268418247 1252232790285 2254019022513 3255805254741 3756698370855 5426342091235 9767415764223 11270095112565 16279026273705 29302247292669 48837078821115 146511236463345