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141130240 = 295291901
BaseRepresentation
bin10000110100101…
…11101000000000
3100211120011021221
420122113220000
5242112131430
622000524424
73332405266
oct1032275000
9324504257
10141130240
1172734269
123b320714
1323314924
1414a5a436
15c5cb57a
hex8697a00

141130240 has 80 divisors (see below), whose sum is σ = 350234280. Its totient is φ = 54476800.

The previous prime is 141130219. The next prime is 141130273. The reversal of 141130240 is 42031141.

It can be written as a sum of positive squares in 4 ways, for example, as 82882816 + 58247424 = 9104^2 + 7632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73290 + ... + 75190.

Almost surely, 2141130240 is an apocalyptic number.

141130240 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 141130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175117140).

141130240 is an abundant number, since it is smaller than the sum of its proper divisors (209104040).

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

141130240 is an equidigital number, since it uses as much as digits as its factorization.

141130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1937 counting only the distinct ones).

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

The square root of 141130240 is about 11879.8249145347. The cubic root of 141130240 is about 520.6429915811.

Adding to 141130240 its reverse (42031141), we get a palindrome (183161381).

Subtracting from 141130240 its reverse (42031141), we obtain a palindrome (99099099).

The spelling of 141130240 in words is "one hundred forty-one million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1160 1280 1856 1901 2320 2560 3712 3802 4640 7424 7604 9280 9505 14848 15208 18560 19010 30416 37120 38020 55129 60832 74240 76040 110258 121664 152080 220516 243328 275645 304160 441032 486656 551290 608320 882064 973312 1102580 1216640 1764128 2205160 2433280 3528256 4410320 4866560 7056512 8820640 14113024 17641280 28226048 35282560 70565120 141130240