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142719984 = 24321128191
BaseRepresentation
bin10001000000110…
…11101111110000
3100221112221000100
420200123233300
5243014014414
622054552400
73352046151
oct1040335760
9327487010
10142719984
117361a700
123b968700
13237503c4
1414d51928
15c7e2609
hex881bbf0

142719984 has 90 divisors (see below), whose sum is σ = 439083008. Its totient is φ = 43243200.

The previous prime is 142719979. The next prime is 142720003. The reversal of 142719984 is 489917241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13329 + ... + 21519.

Almost surely, 2142719984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142719984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219541504).

142719984 is an abundant number, since it is smaller than the sum of its proper divisors (296363024).

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

142719984 is a wasteful number, since it uses less digits than its factorization.

142719984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8207 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 142719984 is about 11946.5469488049. The cubic root of 142719984 is about 522.5906029402.

The spelling of 142719984 in words is "one hundred forty-two million, seven hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8191 8712 16382 17424 24573 32764 49146 65528 73719 90101 98292 131056 147438 180202 196584 270303 294876 360404 393168 540606 589752 720808 810909 991111 1081212 1179504 1441616 1621818 1982222 2162424 2973333 3243636 3964444 4324848 5946666 6487272 7928888 8919999 11893332 12974544 15857776 17839998 23786664 35679996 47573328 71359992 142719984