Search a number
-
+
71142134112 = 2535721931317
BaseRepresentation
bin100001001000001100…
…1101101000101100000
320210122000110212100000
41002100121231011200
52131144341242422
652403210500000
75065653106500
oct1022031550540
9223560425300
1071142134112
1128197975365
1211955434600
136929c5b35a
14362c5a1a00
151cb5a1acac
hex109066d160

71142134112 has 864 divisors, whose sum is σ = 266025876480. Its totient is φ = 18576552960.

The previous prime is 71142134059. The next prime is 71142134149. The reversal of 71142134112 is 21143124117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×711421341122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 224422978 + ... + 224423294.

It is an arithmetic number, because the mean of its divisors is an integer number (307900320).

Almost surely, 271142134112 is an apocalyptic number.

71142134112 is a gapful number since it is divisible by the number (72) 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 71142134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133012938240).

71142134112 is an abundant number, since it is smaller than the sum of its proper divisors (194883742368).

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

71142134112 is a wasteful number, since it uses less digits than its factorization.

71142134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 379 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

Adding to 71142134112 its reverse (21143124117), we get a palindrome (92285258229).

The spelling of 71142134112 in words is "seventy-one billion, one hundred forty-two million, one hundred thirty-four thousand, one hundred twelve".