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141132434443100 = 225210611330183171
BaseRepresentation
bin100000000101101111110100…
…100111110000101101011100
3200111201010111000102201211022
4200011233310213300231130
5121444303211204134400
61220055202331143312
741504324202161162
oct4005576447605534
9614633430381738
10141132434443100
1140a72a24a23411
12139b44b28a4b38
136099968038b29
1426bcbbc267232
15114b2a2692b85
hex805bf49f0b5c

141132434443100 has 36 divisors (see below), whose sum is σ = 306546032720088. Its totient is φ = 56399766408000.

The previous prime is 141132434443097. The next prime is 141132434443129. The reversal of 141132434443100 is 1344434231141.

141132434443100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1411324344431003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664985486 + ... + 665197685.

It is an arithmetic number, because the mean of its divisors is an integer number (8515167575558).

Almost surely, 2141132434443100 is an apocalyptic number.

141132434443100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141132434443100 is an abundant number, since it is smaller than the sum of its proper divisors (165413598276988).

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

141132434443100 is a wasteful number, since it uses less digits than its factorization.

141132434443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330184246 (or 1330184239 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 141132434443100 its reverse (1344434231141), we get a palindrome (142476868674241).

The spelling of 141132434443100 in words is "one hundred forty-one trillion, one hundred thirty-two billion, four hundred thirty-four million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1061 2122 4244 5305 10610 21220 26525 53050 106100 1330183171 2660366342 5320732684 6650915855 13301831710 26603663420 33254579275 66509158550 133018317100 1411324344431 2822648688862 5645297377724 7056621722155 14113243444310 28226486888620 35283108610775 70566217221550 141132434443100