Search a number
-
+
531143410000 = 24547172915391
BaseRepresentation
bin1111011101010101001…
…11010100000101010000
31212202222022000212021011
413232222213110011100
532200240203110000
61044000502340304
753242141331140
oct7565247240520
91782868025234
10531143410000
11195290676375
1286b32a2a694
133b118382528
141b9c946a920
15dc39d1a2ba
hex7baa9d4150

531143410000 has 400 divisors, whose sum is σ = 1609872675840. Its totient is φ = 165473280000.

The previous prime is 531143409961. The next prime is 531143410001. The reversal of 531143410000 is 14341135.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×5311434100002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531143410001) 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 79 ways as a sum of consecutive naturals, for example, 34502305 + ... + 34517695.

Almost surely, 2531143410000 is an apocalyptic number.

531143410000 is a gapful number since it is divisible by the number (50) 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 531143410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804936337920).

531143410000 is an abundant number, since it is smaller than the sum of its proper divisors (1078729265840).

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

531143410000 is a wasteful number, since it uses less digits than its factorization.

531143410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15472 (or 15451 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 531143410000 its reverse (14341135), we get a palindrome (531157751135).

The spelling of 531143410000 in words is "five hundred thirty-one billion, one hundred forty-three million, four hundred ten thousand".