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142845816645 = 32579719324223
BaseRepresentation
bin1000010100001001000…
…1100010111101000101
3111122201011121100021200
42011002101202331011
54320022012113040
6145342241333113
713214565256560
oct2050221427505
9448634540250
10142845816645
1155642815324
1223826937199
131061634147c
146cb157b4d7
153ab09ab630
hex2142462f45

142845816645 has 96 divisors (see below), whose sum is σ = 287381133312. Its totient is φ = 64290226176.

The previous prime is 142845816613. The next prime is 142845816653. The reversal of 142845816645 is 546618548241.

142845816645 is a `hidden beast` number, since 1 + 4 + 28 + 458 + 166 + 4 + 5 = 666.

It is not a de Polignac number, because 142845816645 - 25 = 142845816613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142845816591 and 142845816600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5885004 + ... + 5909226.

It is an arithmetic number, because the mean of its divisors is an integer number (2993553472).

Almost surely, 2142845816645 is an apocalyptic number.

142845816645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142845816645 is an abundant number, since it is smaller than the sum of its proper divisors (144535316667).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142845816645 is a wasteful number, since it uses less digits than its factorization.

142845816645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24531 (or 24528 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 142845816645 in words is "one hundred forty-two billion, eight hundred forty-five million, eight hundred sixteen thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 97 105 193 291 315 485 579 679 873 965 1351 1455 1737 2037 2895 3395 4053 4365 6111 6755 8685 10185 12159 18721 20265 24223 30555 56163 60795 72669 93605 121115 131047 168489 169561 218007 280815 363345 393141 508683 655235 842445 847805 1090035 1179423 1526049 1965705 2349631 2543415 4675039 5897115 7048893 7630245 11748155 14025117 16447417 21146679 23375195 32725273 35244465 42075351 49342251 70125585 82237085 98175819 105733395 148026753 163626365 210376755 246711255 294527457 453478783 490879095 740133765 1360436349 1472637285 2267393915 3174351481 4081309047 6802181745 9523054443 15871757405 20406545235 28569163329 47615272215 142845816645