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142141000 = 2353307463
BaseRepresentation
bin10000111100011…
…10011001001000
3100220110111210111
420132032121020
5242342003000
622034324104
73344115151
oct1036163110
9326414714
10142141000
1173264701
123b729634
13235a9a01
1414c40928
15c72acba
hex878e648

142141000 has 64 divisors (see below), whose sum is σ = 334414080. Its totient is φ = 56548800.

The previous prime is 142140991. The next prime is 142141007. The reversal of 142141000 is 141241.

It is not an unprimeable number, because it can be changed into a prime (142141007) 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, 306769 + ... + 307231.

It is an arithmetic number, because the mean of its divisors is an integer number (5225220).

Almost surely, 2142141000 is an apocalyptic number.

142141000 is a gapful number since it is divisible by the number (10) 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 142141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167207040).

142141000 is an abundant number, since it is smaller than the sum of its proper divisors (192273080).

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

142141000 is a wasteful number, since it uses less digits than its factorization.

142141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 142141000 is about 11922.2900484764. The cubic root of 142141000 is about 521.8829662809.

Adding to 142141000 its reverse (141241), we get a palindrome (142282241).

The spelling of 142141000 in words is "one hundred forty-two million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 307 463 500 614 926 1000 1228 1535 1852 2315 2456 3070 3704 4630 6140 7675 9260 11575 12280 15350 18520 23150 30700 38375 46300 57875 61400 76750 92600 115750 142141 153500 231500 284282 307000 463000 568564 710705 1137128 1421410 2842820 3553525 5685640 7107050 14214100 17767625 28428200 35535250 71070500 142141000