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71341497144 = 233797127331
BaseRepresentation
bin100001001110001001…
…0001101101100111000
320211010220121120000000
41002130102031230320
52132101410402034
652435051513000
75103623502021
oct1023422155470
9224126546000
1071341497144
112828a4627a5
12119b0158760
13695c351748
14364ac59c48
151cc829b599
hex109c48db38

71341497144 has 256 divisors, whose sum is σ = 204898713600. Its totient is φ = 23279477760.

The previous prime is 71341497109. The next prime is 71341497167. The reversal of 71341497144 is 44179414317.

71341497144 is a `hidden beast` number, since 7 + 1 + 3 + 414 + 97 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71341497144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215533059 + ... + 215533389.

It is an arithmetic number, because the mean of its divisors is an integer number (800385600).

Almost surely, 271341497144 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 71341497144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102449356800).

71341497144 is an abundant number, since it is smaller than the sum of its proper divisors (133557216456).

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

71341497144 is a wasteful number, since it uses less digits than its factorization.

71341497144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 560 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 71341497144 in words is "seventy-one billion, three hundred forty-one million, four hundred ninety-seven thousand, one hundred forty-four".