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142860144 = 24371932203
BaseRepresentation
bin10001000001111…
…01111101110000
3100221211001021110
420200331331300
5243033011034
622101553320
73353201610
oct1040757560
9327731243
10142860144
1173705a39
123ba15840
132379c13b
1414d8aa40
15c81dde9
hex883df70

142860144 has 80 divisors (see below), whose sum is σ = 424155392. Its totient is φ = 40587264.

The previous prime is 142860143. The next prime is 142860161. The reversal of 142860144 is 441068241.

142860144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142860143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63747 + ... + 65949.

Almost surely, 2142860144 is an apocalyptic number.

142860144 is a gapful number since it is divisible by the number (14) 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 142860144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212077696).

142860144 is an abundant number, since it is smaller than the sum of its proper divisors (281295248).

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

142860144 is a wasteful number, since it uses less digits than its factorization.

142860144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 142860144 is about 11952.4116394977. The cubic root of 142860144 is about 522.7616192488.

The spelling of 142860144 in words is "one hundred forty-two million, eight hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 193 336 386 579 772 1158 1351 1544 2203 2316 2702 3088 4053 4406 4632 5404 6609 8106 8812 9264 10808 13218 15421 16212 17624 21616 26436 30842 32424 35248 46263 52872 61684 64848 92526 105744 123368 185052 246736 370104 425179 740208 850358 1275537 1700716 2551074 2976253 3401432 5102148 5952506 6802864 8928759 10204296 11905012 17857518 20408592 23810024 35715036 47620048 71430072 142860144