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141150000 = 24355941
BaseRepresentation
bin10000110100111…
…00011100110000
3100211121011101210
420122130130300
5242113300000
622001200120
73332520015
oct1032343460
9324534353
10141150000
11727480a2
123b330040
1323320914
1414a6370c
15c5d2350
hex869c730

141150000 has 120 divisors (see below), whose sum is σ = 456252048. Its totient is φ = 37600000.

The previous prime is 141149941. The next prime is 141150001. The reversal of 141150000 is 51141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (141150001) 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, 149530 + ... + 150470.

Almost surely, 2141150000 is an apocalyptic number.

141150000 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 141150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228126024).

141150000 is an abundant number, since it is smaller than the sum of its proper divisors (315102048).

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

141150000 is an frugal number, since it uses more digits than its factorization.

141150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 141150000 is about 11880.6565475145. The cubic root of 141150000 is about 520.6672892923.

The spelling of 141150000 in words is "one hundred forty-one million, one hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 941 1000 1200 1250 1500 1875 1882 2000 2500 2823 3000 3125 3750 3764 4705 5000 5646 6000 6250 7500 7528 9375 9410 10000 11292 12500 14115 15000 15056 18750 18820 22584 23525 25000 28230 30000 37500 37640 45168 47050 50000 56460 70575 75000 75280 94100 112920 117625 141150 150000 188200 225840 235250 282300 352875 376400 470500 564600 588125 705750 941000 1129200 1176250 1411500 1764375 1882000 2352500 2823000 2940625 3528750 4705000 5646000 5881250 7057500 8821875 9410000 11762500 14115000 17643750 23525000 28230000 35287500 47050000 70575000 141150000