Search a number
-
+
142117512570 = 232511143553043
BaseRepresentation
bin1000010001011011011…
…1010010010101111010
3111120211102011122220200
42010112313102111322
54312024040400240
6145142103303030
713160542632225
oct2042667222572
9446742148820
10142117512570
11552a96a3730
1223662a4aa76
131052b4a2007
146c429565bc
153a6ba97930
hex2116dd257a

142117512570 has 48 divisors (see below), whose sum is σ = 403096947552. Its totient is φ = 34452730080.

The previous prime is 142117512529. The next prime is 142117512571. The reversal of 142117512570 is 75215711241.

It is a happy number.

142117512570 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 1 + 75 + 12 + 570 = 666.

142117512570 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142117512571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71775532 + ... + 71777511.

It is an arithmetic number, because the mean of its divisors is an integer number (8397853074).

Almost surely, 2142117512570 is an apocalyptic number.

142117512570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142117512570 is an abundant number, since it is smaller than the sum of its proper divisors (260979434982).

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

142117512570 is a wasteful number, since it uses less digits than its factorization.

142117512570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143553067 (or 143553064 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 142117512570 in words is "one hundred forty-two billion, one hundred seventeen million, five hundred twelve thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 143553043 287106086 430659129 717765215 861318258 1291977387 1435530430 1579083473 2153295645 2583954774 3158166946 4306591290 4737250419 6459886935 7895417365 9474500838 12919773870 14211751257 15790834730 23686252095 28423502514 47372504190 71058756285 142117512570