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141342120 = 233251672351
BaseRepresentation
bin10000110110010…
…11010110101000
3100211221220221100
420123023112220
5242140421440
622005241400
73334250103
oct1033132650
9324856840
10141342120
1172869477
123b403260
132338a1ba
1414ab373a
15c61e230
hex86cb5a8

141342120 has 96 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 37449600.

The previous prime is 141342119. The next prime is 141342137. The reversal of 141342120 is 21243141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141342093 and 141342102.

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 23 ways as a sum of consecutive naturals, for example, 58945 + ... + 61295.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2141342120 is an apocalyptic number.

141342120 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 141342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

141342120 is an abundant number, since it is smaller than the sum of its proper divisors (320967000).

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

141342120 is a wasteful number, since it uses less digits than its factorization.

141342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141342120 is about 11888.7392098574. The cubic root of 141342120 is about 520.9034098492.

Adding to 141342120 its reverse (21243141), we get a palindrome (162585261).

The spelling of 141342120 in words is "one hundred forty-one million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 2004 2351 2505 3006 3340 4008 4702 5010 6012 6680 7053 7515 9404 10020 11755 12024 14106 15030 18808 20040 21159 23510 28212 30060 35265 42318 47020 56424 60120 70530 84636 94040 105795 141060 169272 211590 282120 392617 423180 785234 846360 1177851 1570468 1963085 2355702 3140936 3533553 3926170 4711404 5889255 7067106 7852340 9422808 11778510 14134212 15704680 17667765 23557020 28268424 35335530 47114040 70671060 141342120