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141423488 = 2729311229
BaseRepresentation
bin10000110110111…
…11001110000000
3100212010001112222
420123133032000
5242201022423
622011110212
73335036243
oct1033371600
9325101488
10141423488
1172914618
123b442368
13233b824b
1414ad525a
15c6383c8
hex86df380

141423488 has 64 divisors (see below), whose sum is σ = 301104000. Its totient is φ = 66017280.

The previous prime is 141423487. The next prime is 141423523. The reversal of 141423488 is 884324141.

141423488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1414234882 = 40001205916172288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141423487) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 114458 + ... + 115686.

It is an arithmetic number, because the mean of its divisors is an integer number (4704750).

Almost surely, 2141423488 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 141423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150552000).

141423488 is an abundant number, since it is smaller than the sum of its proper divisors (159680512).

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

141423488 is a wasteful number, since it uses less digits than its factorization.

141423488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1291 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 141423488 is about 11892.1607792697. The cubic root of 141423488 is about 521.0033487725.

The spelling of 141423488 in words is "one hundred forty-one million, four hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 464 496 899 928 992 1229 1798 1856 1984 2458 3596 3712 3968 4916 7192 9832 14384 19664 28768 35641 38099 39328 57536 71282 76198 78656 115072 142564 152396 157312 285128 304792 570256 609584 1104871 1140512 1219168 2209742 2281024 2438336 4419484 4562048 4876672 8838968 17677936 35355872 70711744 141423488