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7142207856 = 243723977649
BaseRepresentation
bin1101010011011010…
…10111000101110000
3200102202022202021220
412221231113011300
5104111401122411
63140414145040
7341663523300
oct65155270560
920382282256
107142207856
113035654523
121473ab2180
1389a9071c4
144ba7b7600
152bc059b06
hex1a9b57170

7142207856 has 120 divisors (see below), whose sum is σ = 21519939600. Its totient is φ = 2035224576.

The previous prime is 7142207837. The next prime is 7142207857. The reversal of 7142207856 is 6587022417.

It is a super-2 number, since 2×71422078562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7142207857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929920 + ... + 937568.

It is an arithmetic number, because the mean of its divisors is an integer number (179332830).

Almost surely, 27142207856 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 7142207856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759969800).

7142207856 is an abundant number, since it is smaller than the sum of its proper divisors (14377731744).

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

7142207856 is a wasteful number, since it uses less digits than its factorization.

7142207856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8071 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 7142207856 is about 84511.5841527065. The cubic root of 7142207856 is about 1925.7984302227.

The spelling of 7142207856 in words is "seven billion, one hundred forty-two million, two hundred seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 397 588 784 794 1176 1191 1588 2352 2382 2779 3176 4764 5558 6352 7649 8337 9528 11116 15298 16674 19056 19453 22232 22947 30596 33348 38906 44464 45894 53543 58359 61192 66696 77812 91788 107086 116718 122384 133392 155624 160629 183576 214172 233436 311248 321258 367152 374801 428344 466872 642516 749602 856688 933744 1124403 1285032 1499204 2248806 2570064 2998408 3036653 4497612 5996816 6073306 8995224 9109959 12146612 17990448 18219918 21256571 24293224 36439836 42513142 48586448 63769713 72879672 85026284 127539426 145759344 148795997 170052568 255078852 297591994 340105136 446387991 510157704 595183988 892775982 1020315408 1190367976 1785551964 2380735952 3571103928 7142207856