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7028085141 = 3272111785223
BaseRepresentation
bin1101000101110100…
…00001000110010101
3200010210120201100200
412202322001012111
5103343142211031
63121220131113
7336106511100
oct64272010625
920123521320
107028085141
112a87197430
121441836a99
1388008a47c
144a958b737
152b20158e6
hex1a2e81195

7028085141 has 72 divisors (see below), whose sum is σ = 13640612544. Its totient is φ = 3436151040.

The previous prime is 7028085121. The next prime is 7028085149. The reversal of 7028085141 is 1415808207.

7028085141 = 533 + 543 + ... + 4093.

It is not a de Polignac number, because 7028085141 - 210 = 7028084117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7028085096 and 7028085105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7028085149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39856 + ... + 125078.

It is an arithmetic number, because the mean of its divisors is an integer number (189452952).

Almost surely, 27028085141 is an apocalyptic number.

It is an amenable number.

7028085141 is a deficient number, since it is larger than the sum of its proper divisors (6612527403).

7028085141 is a wasteful number, since it uses less digits than its factorization.

7028085141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85271 (or 85261 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 7028085141 is about 83833.6754592091. The cubic root of 7028085141 is about 1915.4860994697.

The spelling of 7028085141 in words is "seven billion, twenty-eight million, eighty-five thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 17 21 33 49 51 63 77 99 119 147 153 187 231 357 441 539 561 693 833 1071 1309 1617 1683 2499 3927 4851 7497 9163 11781 27489 82467 85223 255669 596561 767007 937453 1448791 1789683 2812359 4175927 4346373 5369049 6562171 8437077 10141537 12527781 13039119 15936701 19686513 30424611 37583343 45935197 47810103 59059539 70990759 91273833 111556907 137805591 143430309 212972277 334670721 413416773 638916831 780898349 1004012163 2342695047 7028085141