Search a number
-
+
145660450335 = 35611493792819
BaseRepresentation
bin1000011110101000001…
…0100001011000011111
3111220222022211112211220
42013222002201120133
54341303033402320
6150525424544423
713344413253651
oct2075202413037
9456868745756
10145660450335
1156857588274
1224291482113
13109744c33aa
14709b2d06d1
153bc7b36e40
hex21ea0a161f

145660450335 has 64 divisors (see below), whose sum is σ = 239181120000. Its totient is φ = 75672092160.

The previous prime is 145660450301. The next prime is 145660450337. The reversal of 145660450335 is 533054066541.

It is not a de Polignac number, because 145660450335 - 223 = 145652061727 is a prime.

It is a super-2 number, since 2×1456604503352 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145660450337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51669556 + ... + 51672374.

It is an arithmetic number, because the mean of its divisors is an integer number (3737205000).

Almost surely, 2145660450335 is an apocalyptic number.

145660450335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145660450335 is a deficient number, since it is larger than the sum of its proper divisors (93520669665).

145660450335 is a wasteful number, since it uses less digits than its factorization.

145660450335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 145660450335 in words is "one hundred forty-five billion, six hundred sixty million, four hundred fifty thousand, three hundred thirty-five".

Divisors: 1 3 5 15 61 149 183 305 379 447 745 915 1137 1895 2235 2819 5685 8457 9089 14095 23119 27267 42285 45445 56471 69357 115595 136335 169413 171959 282355 346785 420031 515877 847065 859795 1068401 1260093 2100155 2579385 3205203 3444731 5342005 6300465 10334193 16026015 17223655 25621891 51670965 65172461 76865673 128109455 159191749 195517383 325862305 384328365 477575247 795958745 977586915 2387876235 9710696689 29132090067 48553483445 145660450335