Search a number
-
+
141430659552 = 25337132138371
BaseRepresentation
bin1000001110110111101…
…1001001100111100000
3111112001112201220201000
42003231323021213200
54304122222101202
6144550005512000
713134532525260
oct2035573114740
9445045656630
10141430659552
1154a86a13906
12234b0a12600
131044c0b6a00
146bb96417a0
153a2b62091c
hex20edec99e0

141430659552 has 288 divisors, whose sum is σ = 510493052160. Its totient is φ = 37300124160.

The previous prime is 141430659551. The next prime is 141430659577. The reversal of 141430659552 is 255956034141.

It is a happy number.

141430659552 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 3 + 0 + 6 + 595 + 52 = 666.

141430659552 is digitally balanced in base 2, 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 (288).

It is a super-2 number, since 2×1414306595522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141430659498 and 141430659507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141430659551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952927 + ... + 1091297.

It is an arithmetic number, because the mean of its divisors is an integer number (1772545320).

Almost surely, 2141430659552 is an apocalyptic number.

141430659552 is a gapful number since it is divisible by the number (12) 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 141430659552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255246526080).

141430659552 is an abundant number, since it is smaller than the sum of its proper divisors (369062392608).

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

141430659552 is a wasteful number, since it uses less digits than its factorization.

141430659552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138423 (or 138396 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 141430659552 in words is "one hundred forty-one billion, four hundred thirty million, six hundred fifty-nine thousand, five hundred fifty-two".