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142668012 = 223171793907
BaseRepresentation
bin10001000000011…
…11000011101100
3100221110021201110
420200033003230
5243010334022
622053512020
73351441504
oct1040170354
9327407643
10142668012
1173594653
123b942610
1323732856
1414d3aa04
15c7d200c
hex880f0ec

142668012 has 48 divisors (see below), whose sum is σ = 354533760. Its totient is φ = 44497152.

The previous prime is 142668007. The next prime is 142668013. The reversal of 142668012 is 210866241.

It is a super-3 number, since 3×1426680123 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (142668013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34563 + ... + 38469.

It is an arithmetic number, because the mean of its divisors is an integer number (7386120).

Almost surely, 2142668012 is an apocalyptic number.

142668012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142668012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177266880).

142668012 is an abundant number, since it is smaller than the sum of its proper divisors (211865748).

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

142668012 is a wasteful number, since it uses less digits than its factorization.

142668012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 142668012 is about 11944.3715615347. The cubic root of 142668012 is about 522.5271608173.

The spelling of 142668012 in words is "one hundred forty-two million, six hundred sixty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 179 204 358 537 716 1074 2148 3043 3907 6086 7814 9129 11721 12172 15628 18258 23442 36516 46884 66419 132838 199257 265676 398514 699353 797028 1398706 2098059 2797412 4196118 8392236 11889001 23778002 35667003 47556004 71334006 142668012