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141121424 = 2429319811
BaseRepresentation
bin10000110100101…
…01011110010000
3100211112201012102
420122111132100
5242111341144
622000415532
73332340503
oct1032253620
9324481172
10141121424
1172728684
123b3175a8
1323310902
1414a5713a
15c5c8b4e
hex8695790

141121424 has 40 divisors (see below), whose sum is σ = 292005120. Its totient is φ = 65923200.

The previous prime is 141121423. The next prime is 141121427. The reversal of 141121424 is 424121141.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 141121396 and 141121405.

It is not an unprimeable number, because it can be changed into a prime (141121423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9479 + ... + 19289.

It is an arithmetic number, because the mean of its divisors is an integer number (7300128).

Almost surely, 2141121424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146002560).

141121424 is an abundant number, since it is smaller than the sum of its proper divisors (150883696).

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

141121424 is a wasteful number, since it uses less digits than its factorization.

141121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879 (or 9873 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 141121424 is about 11879.4538595004. The cubic root of 141121424 is about 520.6321503322.

Adding to 141121424 its reverse (424121141), we get a palindrome (565242565).

The spelling of 141121424 in words is "one hundred forty-one million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 7192 9811 14384 19622 39244 78488 156976 284519 304141 569038 608282 1138076 1216564 2276152 2433128 4552304 4866256 8820089 17640178 35280356 70560712 141121424