Search a number
-
+
145106424465 = 35192234674889
BaseRepresentation
bin1000011100100100000…
…1000101001010010001
3111212112201100010020020
42013021001011022101
54334134221040330
6150354434134053
713324605154122
oct2071101051221
9455481303206
10145106424465
11565a2880452
1224157a21329
13108b67a3632
1470478b4049
153b9419b210
hex21c9045291

145106424465 has 64 divisors (see below), whose sum is σ = 246061670400. Its totient is φ = 72816966144.

The previous prime is 145106424433. The next prime is 145106424499. The reversal of 145106424465 is 564424601541.

It is a happy number.

It is not a de Polignac number, because 145106424465 - 25 = 145106424433 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 29677741 + ... + 29682629.

It is an arithmetic number, because the mean of its divisors is an integer number (3844713600).

Almost surely, 2145106424465 is an apocalyptic number.

145106424465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145106424465 is a deficient number, since it is larger than the sum of its proper divisors (100955245935).

145106424465 is a wasteful number, since it uses less digits than its factorization.

145106424465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606.

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 145106424465 in words is "one hundred forty-five billion, one hundred six million, four hundred twenty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 15 19 57 95 223 285 467 669 1115 1401 2335 3345 4237 4889 7005 8873 12711 14667 21185 24445 26619 44365 63555 73335 92891 104141 133095 278673 312423 464455 520705 1090247 1393365 1562115 1978679 2283163 3270741 5451235 5936037 6849489 9893395 11415815 16353705 20714693 29680185 34247445 43380097 62144079 103573465 130140291 216900485 310720395 509145349 650701455 1527436047 2545726745 7637180235 9673761631 29021284893 48368808155 145106424465