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141140324430 = 23257397564313
BaseRepresentation
bin1000001101110010011…
…1100111000001001110
3111111022022102100210100
42003130213213001032
54303023410340210
6144501114551530
713124405651220
oct2033447470116
9444268370710
10141140324430
1154948040826
122342b7385a6
1310403bc1091
146b8cc66410
153a10dc05c0
hex20dc9e704e

141140324430 has 96 divisors (see below), whose sum is σ = 420445531584. Its totient is φ = 32179327488.

The previous prime is 141140324401. The next prime is 141140324441. The reversal of 141140324430 is 34423041141.

141140324430 is a `hidden beast` number, since 1 + 4 + 11 + 403 + 244 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141140324394 and 141140324403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32047 + ... + 532266.

It is an arithmetic number, because the mean of its divisors is an integer number (4379640954).

Almost surely, 2141140324430 is an apocalyptic number.

141140324430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141140324430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210222765792).

141140324430 is an abundant number, since it is smaller than the sum of its proper divisors (279305207154).

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

141140324430 is a wasteful number, since it uses less digits than its factorization.

141140324430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564730 (or 564727 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 141140324430 its reverse (34423041141), we get a palindrome (175563365571).

The spelling of 141140324430 in words is "one hundred forty-one billion, one hundred forty million, three hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 397 630 794 1191 1985 2382 2779 3573 3970 5558 5955 7146 8337 11910 13895 16674 17865 25011 27790 35730 41685 50022 83370 125055 250110 564313 1128626 1692939 2821565 3385878 3950191 5078817 5643130 7900382 8464695 10157634 11850573 16929390 19750955 23701146 25394085 35551719 39501910 50788170 59252865 71103438 118505730 177758595 224032261 355517190 448064522 672096783 1120161305 1344193566 1568225827 2016290349 2240322610 3136451654 3360483915 4032580698 4704677481 6720967830 7841129135 9409354962 10081451745 14114032443 15682258270 20162903490 23523387405 28228064886 47046774810 70570162215 141140324430