Search a number
-
+
142345540305 = 32523379373967
BaseRepresentation
bin1000010010010001110…
…1001001001011010001
3111121102022020200011100
42010210131021023101
54313010424242210
6145220450535013
713166312062143
oct2044435111321
9447368220140
10142345540305
115540638a301
1223707297469
13105667c0677
146c64d52c93
153a81adb5c0
hex21247492d1

142345540305 has 96 divisors (see below), whose sum is σ = 264767053824. Its totient is φ = 70561041408.

The previous prime is 142345540291. The next prime is 142345540321. The reversal of 142345540305 is 503045543241.

142345540305 is a `hidden beast` number, since 1 + 4 + 2 + 345 + 5 + 4 + 0 + 305 = 666.

It is not a de Polignac number, because 142345540305 - 212 = 142345536209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 142345540305.

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, 35880432 + ... + 35884398.

It is an arithmetic number, because the mean of its divisors is an integer number (2757990144).

Almost surely, 2142345540305 is an apocalyptic number.

142345540305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142345540305 is a deficient number, since it is larger than the sum of its proper divisors (122421513519).

142345540305 is a wasteful number, since it uses less digits than its factorization.

142345540305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 142345540305 in words is "one hundred forty-two billion, three hundred forty-five million, five hundred forty thousand, three hundred five".

Divisors: 1 3 5 9 15 23 37 45 69 111 115 185 207 333 345 555 851 937 1035 1665 2553 2811 3967 4255 4685 7659 8433 11901 12765 14055 19835 21551 34669 35703 38295 42165 59505 64653 91241 104007 107755 146779 173345 178515 193959 273723 312021 323265 440337 456205 520035 733895 797387 821169 969795 1321011 1368615 1560105 2201685 2392161 3375917 3717079 3986935 4105845 6605055 7176483 10127751 11151237 11960805 16879585 18585395 30383253 33453711 35882415 50638755 55756185 85492817 137531923 151916265 167268555 256478451 412595769 427464085 687659615 769435353 1237787307 1282392255 2062978845 3163234229 3847176765 6188936535 9489702687 15816171145 28469108061 47448513435 142345540305