Search a number
-
+
141403431456 = 2534747165817
BaseRepresentation
bin1000001110110001001…
…1010010001000100000
3111111222122111120210000
42003230103102020200
54304043234301311
6144543154140000
713134052223130
oct2035423221040
9444878446700
10141403431456
1154a72606a51
12234a3881600
1310446572601
146bb5b94ac0
153a29043056
hex20ec4d2220

141403431456 has 240 divisors, whose sum is σ = 485387755776. Its totient is φ = 39541146624.

The previous prime is 141403431439. The next prime is 141403431493. The reversal of 141403431456 is 654134304141.

141403431456 is a `hidden beast` number, since 1 + 4 + 140 + 34 + 31 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 141403431456.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 769860 + ... + 935676.

Almost surely, 2141403431456 is an apocalyptic number.

141403431456 is a gapful number since it is divisible by the number (16) 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 141403431456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242693877888).

141403431456 is an abundant number, since it is smaller than the sum of its proper divisors (343984324320).

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

141403431456 is a wasteful number, since it uses less digits than its factorization.

141403431456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165893 (or 165876 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 141403431456 its reverse (654134304141), we get a palindrome (795537735597).

The spelling of 141403431456 in words is "one hundred forty-one billion, four hundred three million, four hundred thirty-one thousand, four hundred fifty-six".