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141110000 = 2454103137
BaseRepresentation
bin10000110100100…
…10101011110000
3100211112010112022
420122102223300
5242111010000
622000251012
73332262263
oct1032225360
9324463468
10141110000
1172720039
123b310a68
1323308655
1414a52cda
15c5c5585
hex8692af0

141110000 has 100 divisors (see below), whose sum is σ = 347476272. Its totient is φ = 55488000.

The previous prime is 141109999. The next prime is 141110023. The reversal of 141110000 is 11141.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 141110000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1029932 + ... + 1030068.

Almost surely, 2141110000 is an apocalyptic number.

141110000 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 141110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173738136).

141110000 is an abundant number, since it is smaller than the sum of its proper divisors (206366272).

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

141110000 is a wasteful number, since it uses less digits than its factorization.

141110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 141110000 is about 11878.9730195838. The cubic root of 141110000 is about 520.6181012908.

Adding to 141110000 its reverse (11141), we get a palindrome (141121141).

It can be divided in two parts, 1411 and 10000, that added together give a palindrome (11411).

The spelling of 141110000 in words is "one hundred forty-one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 125 137 200 206 250 274 400 412 500 515 548 625 685 824 1000 1030 1096 1250 1370 1648 2000 2060 2192 2500 2575 2740 3425 4120 5000 5150 5480 6850 8240 10000 10300 10960 12875 13700 14111 17125 20600 25750 27400 28222 34250 41200 51500 54800 56444 64375 68500 70555 85625 103000 112888 128750 137000 141110 171250 206000 225776 257500 274000 282220 342500 352775 515000 564440 685000 705550 1030000 1128880 1370000 1411100 1763875 2822200 3527750 5644400 7055500 8819375 14111000 17638750 28222000 35277500 70555000 141110000