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142101024 = 25313313673
BaseRepresentation
bin10000111100001…
…00101000100000
3100220101110221220
420132010220200
5242334213044
622033415040
73343560462
oct1036045040
9326343856
10142101024
117323766a
123b70a480
1323594760
1414c30132
15c71e019
hex8784a20

142101024 has 96 divisors (see below), whose sum is σ = 414779904. Its totient is φ = 42301440.

The previous prime is 142101007. The next prime is 142101031. The reversal of 142101024 is 420101241.

142101024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 142100994 and 142101012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36852 + ... + 40524.

It is an arithmetic number, because the mean of its divisors is an integer number (4320624).

Almost surely, 2142101024 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 142101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207389952).

142101024 is an abundant number, since it is smaller than the sum of its proper divisors (272678880).

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

142101024 is a wasteful number, since it uses less digits than its factorization.

142101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 142101024 is about 11920.6134070357. The cubic root of 142101024 is about 521.8340365806.

Adding to 142101024 its reverse (420101241), we get a palindrome (562202265).

The spelling of 142101024 in words is "one hundred forty-two million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 3673 4836 6448 7346 9672 11019 12896 14692 19344 22038 29384 38688 44076 47749 58768 88152 95498 113863 117536 143247 176304 190996 227726 286494 341589 352608 381992 455452 572988 683178 763984 910904 1145976 1366356 1480219 1527968 1821808 2291952 2732712 2960438 3643616 4440657 4583904 5465424 5920876 8881314 10930848 11841752 17762628 23683504 35525256 47367008 71050512 142101024