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141131400 = 23352298111
BaseRepresentation
bin10000110100101…
…11111010001000
3100211120012212220
420122113322020
5242112201100
622000534040
73332411544
oct1032277210
9324505786
10141131400
1172735123
123b321320
1323315307
1414a5aa24
15c5cbaa0
hex8697e88

141131400 has 96 divisors (see below), whose sum is σ = 452649600. Its totient is φ = 36332800.

The previous prime is 141131377. The next prime is 141131423. The reversal of 141131400 is 4131141.

It is an interprime number because it is at equal distance from previous prime (141131377) and next prime (141131423).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 141131400.

It is a congruent number.

It is an unprimeable number.

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, 13345 + ... + 21455.

It is an arithmetic number, because the mean of its divisors is an integer number (4715100).

Almost surely, 2141131400 is an apocalyptic number.

141131400 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 141131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226324800).

141131400 is an abundant number, since it is smaller than the sum of its proper divisors (311518200).

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

141131400 is a wasteful number, since it uses less digits than its factorization.

141131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 141131400 is about 11879.8737367028. The cubic root of 141131400 is about 520.6444180276.

Adding to 141131400 its reverse (4131141), we get a palindrome (145262541).

The spelling of 141131400 in words is "one hundred forty-one million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8111 8700 16222 17400 24333 32444 40555 48666 64888 81110 97332 121665 162220 194664 202775 235219 243330 324440 405550 470438 486660 608325 705657 811100 940876 973320 1176095 1216650 1411314 1622200 1881752 2352190 2433300 2822628 3528285 4704380 4866600 5645256 5880475 7056570 9408760 11760950 14113140 17641425 23521900 28226280 35282850 47043800 70565700 141131400