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8071142144 = 28133178233
BaseRepresentation
bin1111000010001001…
…11101101100000000
3202211111021111120112
413201010331230000
5113012203022034
63412520330452
7404003401442
oct74104755400
922744244515
108071142144
113471a4960a
121693013a28
139b81c1770
14567d06492
1532389e7ce
hex1e113db00

8071142144 has 72 divisors (see below), whose sum is σ = 17909953152. Its totient is φ = 3604930560.

The previous prime is 8071142119. The next prime is 8071142161. The reversal of 8071142144 is 4412411708.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8071142144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64052 + ... + 142284.

Almost surely, 28071142144 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 8071142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8954976576).

8071142144 is an abundant number, since it is smaller than the sum of its proper divisors (9838811008).

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

8071142144 is a wasteful number, since it uses less digits than its factorization.

8071142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78293 (or 78279 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 8071142144 is about 89839.5355286302. The cubic root of 8071142144 is about 2005.9110246826.

The spelling of 8071142144 in words is "eight billion, seventy-one million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 806 832 992 1612 1664 1984 3224 3328 3968 6448 7936 12896 25792 51584 78233 103168 156466 312932 625864 1017029 1251728 2034058 2425223 2503456 4068116 4850446 5006912 8136232 9700892 10013824 16272464 19401784 20027648 31527899 32544928 38803568 63055798 65089856 77607136 126111596 130179712 155214272 252223192 260359424 310428544 504446384 620857088 1008892768 2017785536 4035571072 8071142144