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141010000 = 245459239
BaseRepresentation
bin10000110011110…
…10010001010000
3100211100001100121
420121322101100
5242044310000
621554200024
73331364605
oct1031722120
9324301317
10141010000
117266199a
123b283014
13232a1c91
1414a286ac
15c5a5b1a
hex867a450

141010000 has 100 divisors (see below), whose sum is σ = 348638400. Its totient is φ = 55216000.

The previous prime is 141009983. The next prime is 141010003. The reversal of 141010000 is 10141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 589881 + ... + 590119.

It is an arithmetic number, because the mean of its divisors is an integer number (3486384).

Almost surely, 2141010000 is an apocalyptic number.

141010000 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 141010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174319200).

141010000 is an abundant number, since it is smaller than the sum of its proper divisors (207628400).

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

141010000 is an equidigital number, since it uses as much as digits as its factorization.

141010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 141010000 is about 11874.7631555328. The cubic root of 141010000 is about 520.4950906061.

Adding to 141010000 its reverse (10141), we get a palindrome (141020141).

The spelling of 141010000 in words is "one hundred forty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 239 250 295 400 472 478 500 590 625 944 956 1000 1180 1195 1250 1475 1912 2000 2360 2390 2500 2950 3824 4720 4780 5000 5900 5975 7375 9560 10000 11800 11950 14101 14750 19120 23600 23900 28202 29500 29875 36875 47800 56404 59000 59750 70505 73750 95600 112808 118000 119500 141010 147500 149375 225616 239000 282020 295000 298750 352525 478000 564040 590000 597500 705050 1128080 1195000 1410100 1762625 2390000 2820200 3525250 5640400 7050500 8813125 14101000 17626250 28202000 35252500 70505000 141010000