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71435347040 = 2551393212021
BaseRepresentation
bin100001010000111100…
…0001110010001100000
320211101110012121212002
41002201320032101200
52132244422101130
652452243223132
75106143300621
oct1024170162140
9224343177762
1071435347040
11283284335a2
1211a17677aa8
136975920b25
1436594c9a48
151cd1638b45
hex10a1e0e460

71435347040 has 48 divisors (see below), whose sum is σ = 169980204240. Its totient is φ = 28368560640.

The previous prime is 71435346989. The next prime is 71435347057. The reversal of 71435347040 is 4074353417.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71435346985 and 71435347003.

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 7 ways as a sum of consecutive naturals, for example, 1583771 + ... + 1628250.

It is an arithmetic number, because the mean of its divisors is an integer number (3541254255).

Almost surely, 271435347040 is an apocalyptic number.

It is an amenable number.

71435347040 is an abundant number, since it is smaller than the sum of its proper divisors (98544857200).

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

71435347040 is a wasteful number, since it uses less digits than its factorization.

71435347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212175 (or 3212167 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 71435347040 in words is "seventy-one billion, four hundred thirty-five million, three hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1390 2224 2780 4448 5560 11120 22240 3212021 6424042 12848084 16060105 25696168 32120210 51392336 64240420 102784672 128480840 256961680 446470919 513923360 892941838 1785883676 2232354595 3571767352 4464709190 7143534704 8929418380 14287069408 17858836760 35717673520 71435347040