Search a number
-
+
145336463566305 = 3511899531979207
BaseRepresentation
bin100001000010111011001000…
…010010001010010111100001
3201001121000211000220210020020
4201002323020102022113201
5123022143034133110210
61233034352153304053
742420133024132224
oct4102731022122741
9631530730823206
10145336463566305
1142343936851070
121437321b705029
136313228b00cab
1427c647281d5bb
1511c080569b770
hex842ec848a5e1

145336463566305 has 32 divisors (see below), whose sum is σ = 253678732028928. Its totient is φ = 70466013854400.

The previous prime is 145336463566211. The next prime is 145336463566363. The reversal of 145336463566305 is 503665364633541.

It is not a de Polignac number, because 145336463566305 - 212 = 145336463562209 is a prime.

It is a super-2 number, since 2×1453364635663052 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 147933012 + ... + 148912218.

It is an arithmetic number, because the mean of its divisors is an integer number (7927460375904).

Almost surely, 2145336463566305 is an apocalyptic number.

145336463566305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145336463566305 is a deficient number, since it is larger than the sum of its proper divisors (108342268462623).

145336463566305 is a wasteful number, since it uses less digits than its factorization.

145336463566305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878757.

The product of its (nonzero) digits is 209952000, while the sum is 60.

The spelling of 145336463566305 in words is "one hundred forty-five trillion, three hundred thirty-six billion, four hundred sixty-three million, five hundred sixty-six thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 165 899531 979207 2698593 2937621 4497655 4896035 9894841 10771277 13492965 14688105 29684523 32313831 49474205 53856385 148422615 161569155 880827051917 2642481155751 4404135259585 9689097571087 13212405778755 29067292713261 48445487855435 145336463566305