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141123400 = 235211232789
BaseRepresentation
bin10000110100101…
…01111101001000
3100211112210220121
420122111331020
5242111422100
622000433024
73332346325
oct1032257510
9324483817
10141123400
117272a110
123b318774
1323311792
1414a57b4c
15c5c951a
hex8695f48

141123400 has 96 divisors (see below), whose sum is σ = 373636800. Its totient is φ = 49068800.

The previous prime is 141123391. The next prime is 141123407. The reversal of 141123400 is 4321141.

It is not an unprimeable number, because it can be changed into a prime (141123407) by changing a digit.

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, 49206 + ... + 51994.

It is an arithmetic number, because the mean of its divisors is an integer number (3892050).

Almost surely, 2141123400 is an apocalyptic number.

141123400 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 141123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186818400).

141123400 is an abundant number, since it is smaller than the sum of its proper divisors (232513400).

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

141123400 is a wasteful number, since it uses less digits than its factorization.

141123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 141123400 is about 11879.5370280159. The cubic root of 141123400 is about 520.6345803066.

Adding to 141123400 its reverse (4321141), we get a palindrome (145444541).

The spelling of 141123400 in words is "one hundred forty-one million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 2789 4600 5060 5578 6325 10120 11156 12650 13945 22312 25300 27890 30679 50600 55780 61358 64147 69725 111560 122716 128294 139450 153395 245432 256588 278900 306790 320735 513176 557800 613580 641470 705617 766975 1227160 1282940 1411234 1533950 1603675 2565880 2822468 3067900 3207350 3528085 5644936 6135800 6414700 7056170 12829400 14112340 17640425 28224680 35280850 70561700 141123400