Search a number
-
+
142184222765046 = 232711102586019311
BaseRepresentation
bin100000010101000011011000…
…000101110010111111110110
3200122102200022221201111110100
4200111003120011302333312
5122114021242011440141
61222222310305134530
741643320405331450
oct4025033005627766
9618380287644410
10142184222765046
1141338a9901a080
1213b4430862a446
136144bb7705b47
142717a787172d0
15116881079c0b6
hex8150d8172ff6

142184222765046 has 48 divisors (see below), whose sum is σ = 384082056304128. Its totient is φ = 36930966951600.

The previous prime is 142184222765041. The next prime is 142184222765069. The reversal of 142184222765046 is 640567222481241.

142184222765046 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 8 + 42 + 22 + 76 + 504 + 6 = 666.

142184222765046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1421842227650463 (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 142184222764983 and 142184222765001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142184222765041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51293008270 + ... + 51293011041.

It is an arithmetic number, because the mean of its divisors is an integer number (8001709506336).

Almost surely, 2142184222765046 is an apocalyptic number.

142184222765046 is an abundant number, since it is smaller than the sum of its proper divisors (241897833539082).

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

142184222765046 is a wasteful number, since it uses less digits than its factorization.

142184222765046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102586019337 (or 102586019334 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 142184222765046 in words is "one hundred forty-two trillion, one hundred eighty-four billion, two hundred twenty-two million, seven hundred sixty-five thousand, forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 102586019311 205172038622 307758057933 615516115866 718102135177 923274173799 1128446212421 1436204270354 1846548347598 2154306405531 2256892424842 3385338637263 4308612811062 6462919216593 6770677274526 7899123486947 10156015911789 12925838433186 15798246973894 20312031823578 23697370460841 47394740921682 71092111382523 142184222765046