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141440200 = 235211239269
BaseRepresentation
bin10000110111000…
…11010011001000
3100212010220110221
420123203103020
5242202041300
622011315424
73335136046
oct1033432310
9325126427
10141440200
1172926130
123b44bb74
13233c2a35
1414adb396
15c63d31a
hex86e34c8

141440200 has 96 divisors (see below), whose sum is σ = 361584000. Its totient is φ = 51027200.

The previous prime is 141440171. The next prime is 141440209. The reversal of 141440200 is 2044141.

141440200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141440209) 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, 525666 + ... + 525934.

It is an arithmetic number, because the mean of its divisors is an integer number (3766500).

Almost surely, 2141440200 is an apocalyptic number.

141440200 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 141440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180792000).

141440200 is an abundant number, since it is smaller than the sum of its proper divisors (220143800).

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

141440200 is a wasteful number, since it uses less digits than its factorization.

141440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 141440200 is about 11892.8634062618. The cubic root of 141440200 is about 521.0238702694.

Adding to 141440200 its reverse (2044141), we get a palindrome (143484341).

It can be divided in two parts, 1414 and 40200, that added together give a palindrome (41614).

The spelling of 141440200 in words is "one hundred forty-one million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 239 269 275 440 478 538 550 956 1076 1100 1195 1345 1912 2152 2200 2390 2629 2690 2959 4780 5258 5380 5918 5975 6725 9560 10516 10760 11836 11950 13145 13450 14795 21032 23672 23900 26290 26900 29590 47800 52580 53800 59180 64291 65725 73975 105160 118360 128582 131450 147950 257164 262900 295900 321455 514328 525800 591800 642910 707201 1285820 1414402 1607275 2571640 2828804 3214550 3536005 5657608 6429100 7072010 12858200 14144020 17680025 28288040 35360050 70720100 141440200