Search a number
-
+
146503107945 = 3452347154127
BaseRepresentation
bin1000100001110001000…
…1000000010101101001
3112000011001102222210000
42020130101000111221
54400014243423240
6151145210013213
713404324604455
oct2103421002551
9460131388700
10146503107945
115714a204417
1224487717209
1310a79c6066c
14713b1a1665
153c26ad8430
hex221c440569

146503107945 has 40 divisors (see below), whose sum is σ = 262733986944. Its totient is φ = 78101192736.

The previous prime is 146503107901. The next prime is 146503108033. The reversal of 146503107945 is 549701305641.

146503107945 is a `hidden beast` number, since 1 + 46 + 503 + 10 + 7 + 94 + 5 = 666.

It is not a de Polignac number, because 146503107945 - 211 = 146503105897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 146503107945.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 873472 + ... + 1027598.

Almost surely, 2146503107945 is an apocalyptic number.

146503107945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146503107945 is a deficient number, since it is larger than the sum of its proper divisors (116230878999).

146503107945 is a wasteful number, since it uses less digits than its factorization.

146503107945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156491 (or 156482 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 146503107945 in words is "one hundred forty-six billion, five hundred three million, one hundred seven thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 2347 7041 11735 21123 35205 63369 105615 154127 190107 316845 462381 770635 950535 1387143 2311905 4161429 6935715 12484287 20807145 62421435 361736069 1085208207 1808680345 3255624621 5426041035 9766873863 16278123105 29300621589 48834369315 146503107945