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7114368132 = 2233199833527
BaseRepresentation
bin1101010000000110…
…01010010010000100
3200100210221100101000
412220003022102010
5104032234240012
63133541333300
7341205063024
oct65003122204
920323840330
107114368132
11302096a093
121466707230
13894c0a5b1
144b6c0ba84
152b98aaddc
hex1a80ca484

7114368132 has 96 divisors (see below), whose sum is σ = 19440691200. Its totient is φ = 2243720736.

The previous prime is 7114368109. The next prime is 7114368137. The reversal of 7114368132 is 2318634117.

It is a happy number.

It is a super-2 number, since 2×71143681322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7114368137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2015353 + ... + 2018879.

It is an arithmetic number, because the mean of its divisors is an integer number (202507200).

Almost surely, 27114368132 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 7114368132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720345600).

7114368132 is an abundant number, since it is smaller than the sum of its proper divisors (12326323068).

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

7114368132 is a wasteful number, since it uses less digits than its factorization.

7114368132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4534 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 7114368132 is about 84346.7138186189. The cubic root of 7114368132 is about 1923.2929720758.

The spelling of 7114368132 in words is "seven billion, one hundred fourteen million, three hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 983 1026 1966 2052 2949 3527 3932 5898 7054 8847 10581 11796 14108 17694 18677 21162 26541 31743 35388 37354 42324 53082 56031 63486 67013 74708 95229 106164 112062 126972 134026 168093 190458 201039 224124 268052 336186 380916 402078 504279 603117 672372 804156 1008558 1206234 1809351 2017116 2412468 3467041 3618702 6934082 7237404 10401123 13868164 20802246 31203369 41604492 62406738 65873779 93610107 124813476 131747558 187220214 197621337 263495116 374440428 395242674 592864011 790485348 1185728022 1778592033 2371456044 3557184066 7114368132