Search a number
-
+
142322154302808 = 2334239549258877
BaseRepresentation
bin100000010111000011110101…
…011100110110110101011000
3200122220212100122020121110000
4200113003311130312311120
5122123301233000142213
61222405521200453000
741656302442135554
oct4027036534666530
9618825318217400
10142322154302808
1141391539855997
1213b66ba161a160
136154bc989cb8c
142720601348864
15116c1d4ad5c73
hex8170f5736d58

142322154302808 has 80 divisors (see below), whose sum is σ = 415965716725680. Its totient is φ = 45378078178752.

The previous prime is 142322154302791. The next prime is 142322154302833. The reversal of 142322154302808 is 808203451223241.

142322154302808 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 21 + 543 + 0 + 2 + 80 + 8 = 666.

142322154302808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4774614535 + ... + 4774644342.

It is an arithmetic number, because the mean of its divisors is an integer number (5199571459071).

Almost surely, 2142322154302808 is an apocalyptic number.

142322154302808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142322154302808 is an abundant number, since it is smaller than the sum of its proper divisors (273643562422872).

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

142322154302808 is a wasteful number, since it uses less digits than its factorization.

142322154302808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9549258918 (or 9549258905 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 142322154302808 in words is "one hundred forty-two trillion, three hundred twenty-two billion, one hundred fifty-four million, three hundred two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 9549258877 19098517754 28647776631 38197035508 57295553262 76394071016 85943329893 114591106524 171886659786 219632954171 229182213048 257829989679 343773319572 439265908342 515659979358 658898862513 687546639144 773489969037 878531816684 1031319958716 1317797725026 1546979938074 1757063633368 1976696587539 2062639917432 2635595450052 3093959876148 3953393175078 5271190900104 5930089762617 6187919752296 7906786350156 11860179525234 15813572700312 17790269287851 23720359050468 35580538575702 47440718100936 71161077151404 142322154302808