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141065028 = 223213383787
BaseRepresentation
bin10000110100001…
…11101101000100
3100211102211211200
420122013231010
5242103040103
621555302500
73332014206
oct1032075504
9324384750
10141065028
117269a275
123b2aaa30
13232c1040
1414a40776
15c5b70a3
hex8687b44

141065028 has 72 divisors (see below), whose sum is σ = 385502208. Its totient is φ = 43236288.

The previous prime is 141065027. The next prime is 141065033. The reversal of 141065028 is 820560141.

141065028 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 650 + 2 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141064992 and 141065010.

It is not an unprimeable number, because it can be changed into a prime (141065027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178851 + ... + 179637.

Almost surely, 2141065028 is an apocalyptic number.

141065028 is a gapful number since it is divisible by the number (18) 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 141065028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192751104).

141065028 is an abundant number, since it is smaller than the sum of its proper divisors (244437180).

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

141065028 is a wasteful number, since it uses less digits than its factorization.

141065028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 141065028 is about 11877.0799441614. The cubic root of 141065028 is about 520.5627881191.

The spelling of 141065028 in words is "one hundred forty-one million, sixty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 383 468 766 787 1149 1532 1574 2298 2361 3148 3447 4596 4722 4979 6894 7083 9444 9958 10231 13788 14166 14937 19916 20462 28332 29874 30693 40924 44811 59748 61386 89622 92079 122772 179244 184158 301421 368316 602842 904263 1205684 1808526 2712789 3617052 3918473 5425578 7836946 10851156 11755419 15673892 23510838 35266257 47021676 70532514 141065028