Search a number
-
+
142013443220010 = 23251577927146889
BaseRepresentation
bin100000010010100100010100…
…110101100010001000101010
3200121211100112000212201120200
4200102210110311202020222
5122103222012431020020
61222012024122533030
741625063340212315
oct4022442465421052
9617740460781520
10142013443220010
114128262146220a
1213b171a6967176
136131a6c10b40b
14270d6b731b97c
1511641677ba590
hex812914d6222a

142013443220010 has 24 divisors (see below), whose sum is σ = 369234952372260. Its totient is φ = 37870251525312.

The previous prime is 142013443219979. The next prime is 142013443220027. The reversal of 142013443220010 is 10022344310241.

142013443220010 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 3 + 443 + 2 + 200 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122939286664401 + 19074156555609 = 11087799^2 + 4367397^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 788963573355 + ... + 788963573534.

Almost surely, 2142013443220010 is an apocalyptic number.

142013443220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142013443220010 is an abundant number, since it is smaller than the sum of its proper divisors (227221509152250).

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

142013443220010 is a wasteful number, since it uses less digits than its factorization.

142013443220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577927146902 (or 1577927146899 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 142013443220010 its reverse (10022344310241), we get a palindrome (152035787530251).

The spelling of 142013443220010 in words is "one hundred forty-two trillion, thirteen billion, four hundred forty-three million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1577927146889 3155854293778 4733781440667 7889635734445 9467562881334 14201344322001 15779271468890 23668907203335 28402688644002 47337814406670 71006721610005 142013443220010